Measurement of Volume 4: Cube Construction and Translation
2016-05-04 14:28
This GeoGebra applet demonstrates volume measurement and cube construction in solid geometry. Using Point, Cube, and Translate commands, it builds a 3D model with vertices, faces, and edges, illustrating translation transformations. It helps students intuitively understand 3D structures, volume concepts, and spatial transformations, serving as an excellent visual aid for solid geometry.
In collections
Volume: Interactive 3D Geometry
Loading the GeoGebra board and drawing, please wait…
<?xml version="1.0" encoding="utf-8"?>
<geogebra format="5.0" version="5.0.238.0" id="d3da4afc-dd06-40b5-a85b-0e93380c2252" xsi:noNamespaceSchemaLocation="http://www.geogebra.org/ggb.xsd" xmlns="" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" >
<gui>
<window width="901" height="549" />
<perspectives>
<perspective id="tmp">
<panes>
<pane location="" divider="0.22586520947176686" orientation="0" />
</panes>
<views>
<view id="4097" visible="false" inframe="true" stylebar="true" location="1,1,1,1" size="400" window="407,261,965,671" />
<view id="1" visible="false" inframe="false" stylebar="false" location="0,0" size="100" window="100,100,600,400" />
<view id="4" toolbar="0 || 2020 , 2021 , 2022 , 66 || 2001 , 2003 , 2002 , 2004 , 2005 || 2040 , 2041 , 2042 , 2044 , 2043" visible="false" inframe="false" stylebar="true" location="1,1" size="300" window="100,100,600,400" />
<view id="8" toolbar="1001 | 1002 | 1003 || 1005 | 1004 || 1006 | 1007 | 1010 || 1008 1009 || 66 68 || 6" visible="false" inframe="false" stylebar="false" location="1,3" size="300" window="100,100,600,400" />
<view id="2" visible="false" inframe="true" stylebar="true" location="3" size="174" window="622,132,437,738" />
<view id="16" visible="true" inframe="false" stylebar="false" location="0" size="124" window="660,284,500,500" />
<view id="32" visible="false" inframe="false" stylebar="true" location="1" size="150" window="50,50,500,500" />
<view id="64" toolbar="0" visible="false" inframe="true" stylebar="true" location="1" size="150" window="50,50,500,500" />
<view id="128" visible="false" inframe="true" stylebar="false" location="1" size="480" window="50,50,500,500" />
<view id="70" toolbar="0 || 2020 || 2021 || 2022" visible="false" inframe="true" stylebar="true" location="1" size="150" window="50,50,500,500" />
<view id="43" visible="false" inframe="false" stylebar="false" location="1" size="450" window="50,50,500,500" />
<view id="512" toolbar="0 | 1 501 5 19 , 67 | 2 15 45 18 , 7 37 | 514 3 9 , 13 44 , 47 | 16 | 551 550 11 , 20 22 21 23 , 55 56 57 , 12 | 69 | 510 511 , 512 513 | 533 531 , 534 532 , 522 523 , 537 536 , 535 | 521 520 | 36 , 38 49 560 | 571 30 29 570 31 33 | 17 | 540 40 41 42 , 27 28 35 , 6 , 502" visible="true" inframe="false" stylebar="false" location="2" size="416" window="100,100,600,400" />
</views>
<toolbar show="false" items="0 39 | 1 501 67 , 5 19 , 72 75 76 | 2 15 45 , 18 65 , 7 37 | 4 3 8 9 , 13 44 , 58 , 47 | 16 51 64 , 70 | 10 34 53 11 , 24 20 22 , 21 23 | 55 56 57 , 12 | 36 46 , 38 49 50 , 71 | 30 29 54 32 31 33 | 17 26 62 73 , 14 68 | 25 52 60 61 | 40 41 42 , 27 28 35 , 6" position="1" help="false" />
<input show="false" cmd="true" top="algebra" />
<dockBar show="false" east="false" />
</perspective>
</perspectives>
<labelingStyle val="3"/>
<font size="20"/>
</gui>
<euclidianView>
<viewNumber viewNo="1"/>
<size width="898" height="548"/>
<coordSystem xZero="204" yZero="319.9999999999999" scale="50" yscale="49.99999999999997"/>
<evSettings axes="false" grid="false" gridIsBold="false" pointCapturing="3" rightAngleStyle="1" checkboxSize="26" gridType="0"/>
<bgColor r="255" g="255" b="255"/>
<axesColor r="0" g="0" b="0"/>
<gridColor r="192" g="192" b="192"/>
<lineStyle axes="1" grid="0"/>
<axis id="0" show="false" label="" unitLabel="" tickStyle="1" showNumbers="true"/>
<axis id="1" show="false" label="" unitLabel="" tickStyle="1" showNumbers="true"/>
</euclidianView>
<euclidianView>
<viewNumber viewNo="2"/>
<size width="898" height="124"/>
<coordSystem xZero="217.99999999999997" yZero="287.00000000000017" scale="49.99999999999998" yscale="50.00000000000006"/>
<evSettings axes="false" grid="false" gridIsBold="false" pointCapturing="2" rightAngleStyle="1" checkboxSize="26" gridType="0"/>
<bgColor r="255" g="255" b="255"/>
<axesColor r="0" g="0" b="0"/>
<gridColor r="192" g="192" b="192"/>
<lineStyle axes="1" grid="0"/>
<axis id="0" show="false" label="" unitLabel="" tickStyle="1" showNumbers="true"/>
<axis id="1" show="false" label="" unitLabel="" tickStyle="1" showNumbers="true"/>
<grid distX="0.1" distY="0.1" distTheta="0.5235987755982988"/>
</euclidianView>
<kernel>
<uses3D val="true"/>
<continuous val="false"/>
<usePathAndRegionParameters val="true"/>
<decimals val="2"/>
<angleUnit val="degree"/>
<algebraStyle val="0" spreadsheet="0"/>
<coordStyle val="0"/>
<angleFromInvTrig val="false"/>
</kernel>
<scripting blocked="false" disabled="false"/>
<euclidianView3D>
<coordSystem xZero="0.8033351069962887" yZero="-0.718541102526648" zZero="-1.235652558308534" scale="61.350502316641155" xAngle="20" zAngle="675.897680353183"/>
<evSettings axes="false" grid="false" gridIsBold="false" pointCapturing="3" rightAngleStyle="1" gridType="0"/>
<axis id="0" show="false" label="" unitLabel="" tickStyle="1" showNumbers="true" tickDistance="1"/>
<axis id="1" show="false" label="" unitLabel="" tickStyle="1" showNumbers="true" tickDistance="1"/>
<axis id="2" show="false" label="" unitLabel="" tickStyle="1" showNumbers="true" tickDistance="1"/>
<plate show="false"/>
<bgColor r="255" g="255" b="255"/>
<clipping use="false" show="false" size="2"/>
<projection type="0"/>
</euclidianView3D>
<construction title="" author="" date="">
<element type="point3d" label="A">
<show object="false" label="true" ev="4"/>
<objColor r="0" g="0" b="255" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="0" playing="false"/>
<coords x="-4" y="1" z="0" w="1"/>
<pointSize val="5"/>
</element>
<element type="point3d" label="B">
<show object="false" label="true" ev="4"/>
<objColor r="0" g="0" b="255" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<animation step="1" speed="1" type="0" playing="false"/>
<coords x="-3" y="1" z="0" w="1"/>
<pointSize val="5"/>
</element>
<command name="Point">
<input a0="Circle[B, Distance[A, B], Segment[A, B]]"/>
<output a0="C"/>
</command>
<element type="point3d" label="C">
<show object="false" label="true" ev="4"/>
<objColor r="125" g="125" b="255" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<animation step="1" speed="1" type="0" playing="false"/>
<coords x="-3" y="2" z="0" w="1"/>
<pointSize val="5"/>
</element>
<element type="point3d" label="I">
<show object="false" label="true" ev="4"/>
<objColor r="0" g="0" b="255" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="0" playing="false"/>
<coords x="-4" y="0" z="0" w="1"/>
<pointSize val="5"/>
</element>
<element type="point3d" label="J">
<show object="false" label="true" ev="4"/>
<objColor r="0" g="0" b="255" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<animation step="1" speed="1" type="0" playing="false"/>
<coords x="-3" y="0" z="0" w="1"/>
<pointSize val="5"/>
</element>
<command name="Point">
<input a0="Circle[J, Distance[I, J], Segment[I, J]]"/>
<output a0="K"/>
</command>
<element type="point3d" label="K">
<show object="false" label="true" ev="4"/>
<objColor r="125" g="125" b="255" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<animation step="1" speed="1" type="0" playing="false"/>
<coords x="-3" y="1" z="0" w="1"/>
<pointSize val="5"/>
</element>
<element type="point3d" label="Q">
<show object="false" label="true" ev="4"/>
<objColor r="0" g="0" b="255" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<animation step="1" speed="1" type="0" playing="false"/>
<coords x="-2" y="1" z="0" w="1"/>
<pointSize val="5"/>
</element>
<element type="point3d" label="R">
<show object="false" label="true" ev="4"/>
<objColor r="0" g="0" b="255" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<animation step="1" speed="1" type="0" playing="false"/>
<coords x="-2" y="2" z="0" w="1"/>
<pointSize val="5"/>
</element>
<command name="Point">
<input a0="Circle[R, Distance[Q, R], Segment[Q, R]]"/>
<output a0="S"/>
</command>
<element type="point3d" label="S">
<show object="false" label="true" ev="4"/>
<objColor r="125" g="125" b="255" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<animation step="1" speed="1" type="0" playing="false"/>
<coords x="-3" y="2" z="-1.2246467991473532e-16" w="1"/>
<pointSize val="5"/>
</element>
<element type="point3d" label="G_1">
<show object="false" label="true" ev="4"/>
<objColor r="0" g="0" b="255" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="0" playing="false"/>
<coords x="1" y="1" z="0" w="1"/>
<pointSize val="5"/>
</element>
<element type="point3d" label="H_1">
<show object="false" label="true" ev="4"/>
<objColor r="0" g="0" b="255" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<animation step="1" speed="1" type="0" playing="false"/>
<coords x="2" y="1" z="0" w="1"/>
<pointSize val="5"/>
</element>
<command name="Point">
<input a0="Circle[H_1, Distance[G_1, H_1], Segment[G_1, H_1]]"/>
<output a0="I_1"/>
</command>
<element type="point3d" label="I_1">
<show object="false" label="true" ev="4"/>
<objColor r="125" g="125" b="255" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<animation step="1" speed="1" type="0" playing="false"/>
<coords x="2" y="2" z="0" w="1"/>
<pointSize val="5"/>
</element>
<command name="Cube">
<input a0="G_1" a1="H_1" a2="I_1"/>
<output a0="e_1" a1="J_1" a2="K_1" a3="L_1" a4="M_1" a5="N_1" a6="face7" a7="face9" a8="facey" a9="facex" a10="face11" a11="facez" a12="edge13" a13="edge12" a14="edge15" a15="edge17" a16="edge14" a17="edge19" a18="edge21" a19="edge20" a20="edge16" a21="edge22" a22="edge18" a23="edge23"/>
</command>
<element type="polyhedron" label="e_1">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="false" label="false" ev="4"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="0"/>
<labelMode val="0"/>
</element>
<element type="point3d" label="J_1">
<show object="false" label="true" ev="4"/>
<objColor r="68" g="68" b="68" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="1" y="2" z="0" w="1"/>
<pointSize val="3"/>
</element>
<element type="point3d" label="K_1">
<show object="false" label="true" ev="4"/>
<objColor r="68" g="68" b="68" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="1" y="1" z="1" w="1"/>
<pointSize val="3"/>
</element>
<element type="point3d" label="L_1">
<show object="false" label="true" ev="4"/>
<objColor r="68" g="68" b="68" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="2" y="1" z="1" w="1"/>
<pointSize val="3"/>
</element>
<element type="point3d" label="M_1">
<show object="false" label="true" ev="4"/>
<objColor r="68" g="68" b="68" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="2" y="2" z="1" w="1"/>
<pointSize val="3"/>
</element>
<element type="point3d" label="N_1">
<show object="false" label="true" ev="4"/>
<objColor r="68" g="68" b="68" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="1" y="2" z="1" w="1"/>
<pointSize val="3"/>
</element>
<element type="polygon3d" label="face7">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="false" label="false" ev="4"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="0"/>
<labelMode val="0"/>
<auxiliary val="false"/>
</element>
<element type="polygon3d" label="face9">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="false" label="false" ev="4"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="0"/>
<labelMode val="0"/>
<auxiliary val="false"/>
</element>
<element type="polygon3d" label="facey">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="(¬s010) ∧ vol"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="1"/>
<labelMode val="0"/>
<auxiliary val="false"/>
<ggbscript val="SetValue[s010, !s010]"/>
</element>
<element type="polygon3d" label="facex">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="(¬s100) ∧ vol"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="1"/>
<labelMode val="0"/>
<auxiliary val="false"/>
<ggbscript val="SetValue[s100, !s100]"/>
</element>
<element type="polygon3d" label="face11">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="false" label="false" ev="4"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="0"/>
<labelMode val="0"/>
<auxiliary val="false"/>
</element>
<element type="polygon3d" label="facez">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="(¬s001) ∧ vol"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="1"/>
<labelMode val="0"/>
<auxiliary val="false"/>
<ggbscript val="SetValue[s001, !s001]"/>
</element>
<element type="segment3d" label="edge13">
<show object="false" label="false" ev="4"/>
<objColor r="255" g="192" b="203" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<auxiliary val="false"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment3d" label="edge12">
<show object="false" label="false" ev="4"/>
<objColor r="255" g="192" b="203" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<auxiliary val="false"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment3d" label="edge15">
<show object="false" label="false" ev="4"/>
<objColor r="255" g="192" b="203" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<auxiliary val="false"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment3d" label="edge17">
<show object="false" label="false" ev="4"/>
<objColor r="255" g="192" b="203" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<auxiliary val="false"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment3d" label="edge14">
<show object="false" label="false" ev="4"/>
<objColor r="255" g="192" b="203" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<auxiliary val="false"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment3d" label="edge19">
<show object="false" label="false" ev="4"/>
<objColor r="255" g="192" b="203" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<auxiliary val="false"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment3d" label="edge21">
<show object="false" label="false" ev="4"/>
<objColor r="255" g="192" b="203" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<auxiliary val="false"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment3d" label="edge20">
<show object="false" label="false" ev="4"/>
<objColor r="255" g="192" b="203" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<auxiliary val="false"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment3d" label="edge16">
<show object="false" label="false" ev="4"/>
<objColor r="255" g="192" b="203" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<auxiliary val="false"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment3d" label="edge22">
<show object="false" label="false" ev="4"/>
<objColor r="255" g="192" b="203" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<auxiliary val="false"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment3d" label="edge18">
<show object="false" label="false" ev="4"/>
<objColor r="255" g="192" b="203" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<auxiliary val="false"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment3d" label="edge23">
<show object="false" label="false" ev="4"/>
<objColor r="255" g="192" b="203" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<auxiliary val="false"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Translate">
<input a0="Cube[(0, 0), (1, 0), Point[Circle[(1, 0), Distance[(0, 0), (1, 0)], Segment[(0, 0), (1, 0)]]]]" a1="Vector[(0, 0), (2, 1)]"/>
<output a0="f"/>
</command>
<element type="polyhedron" label="f">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="s100"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="0"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
</element>
<expression label ="s100" exp="false"/>
<element type="boolean" label="s100">
<value val="false"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
<expression label ="s010" exp="false"/>
<element type="boolean" label="s010">
<value val="false"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
<expression label ="s001" exp="false"/>
<element type="boolean" label="s001">
<value val="false"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
<command name="Translate">
<input a0="Cube[(0, 0), (1, 0), Point[Circle[(1, 0), Distance[(0, 0), (1, 0)], Segment[(0, 0), (1, 0)]]]]" a1="Vector[(0, 0), (1, 0)]"/>
<output a0="g"/>
</command>
<element type="polyhedron" label="g">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="s010"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="0"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
</element>
<command name="Translate">
<input a0="Cube[(0, 0), (1, 0), Point[Circle[(1, 0), Distance[(0, 0), (1, 0)], Segment[(0, 0), (1, 0)]]]]" a1="Vector[(0, 0), (1, 1, 1)]"/>
<output a0="h"/>
</command>
<element type="polyhedron" label="h">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="s001"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="0"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
</element>
<command name="Translate">
<input a0="Cube[(0, 0), (1, 0), Point[Circle[(1, 0), Distance[(0, 0), (1, 0)], Segment[(0, 0), (1, 0)]]]]" a1="Vector[(0, 0), (1, 1)]"/>
<output a0="e"/>
</command>
<element type="polyhedron" label="e">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="vol"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="0"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
</element>
<command name="Translate">
<input a0="Cube[(0, 0), (1, 0), Point[Circle[(1, 0), Distance[(0, 0), (1, 0)], Segment[(0, 0), (1, 0)]]]]" a1="Vector[(0, 0), (1, 1)]"/>
<output a0="e'"/>
</command>
<element type="polyhedron" label="e'">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="vol"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
</element>
<expression label="text1" exp=""點擊紅色積木的面，複製藍色的立體圖形，並找出它的體積。""/>
<element type="text" label="text1">
<show object="true" label="false" ev="43"/>
<condition showObject="vol"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="1"/>
<labelMode val="0"/>
<fixed val="true"/>
<font serif="false" sizeM="1.4" size="8" style="0"/>
<absoluteScreenLocation x="6" y="38"/>
</element>
<command name="Translate">
<input a0="facex" a1="Vector[(0, 0, 0), (0, -1, 0)]"/>
<output a0="facex010"/>
</command>
<element type="polygon3d" label="facex010">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="s010 ∧ (¬x010)"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="1"/>
<labelMode val="0"/>
<ggbscript val="SetValue[x010, !x010] SetValue[y100, !y100]"/>
</element>
<command name="Translate">
<input a0="facey" a1="Vector[(0, 0), (1, 0, 0)]"/>
<output a0="facey100"/>
</command>
<element type="polygon3d" label="facey100">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="s100 ∧ (¬y100)"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="1"/>
<labelMode val="0"/>
<ggbscript val="SetValue[y100, !y100] SetValue[x010, !x010]"/>
</element>
<expression label ="x010" exp="false"/>
<element type="boolean" label="x010">
<value val="false"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
<expression label ="y100" exp="false"/>
<element type="boolean" label="y100">
<value val="false"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
<command name="Translate">
<input a0="Cube[(0, 0), (1, 0), Point[Circle[(1, 0), Distance[(0, 0), (1, 0)], Segment[(0, 0), (1, 0)]]]]" a1="Vector[(2, 0)]"/>
<output a0="a"/>
</command>
<element type="polyhedron" label="a">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="x010 ∨ y100"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="1"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
</element>
<command name="Translate">
<input a0="facez" a1="Vector[(0, 0, 0), (0, -1, 0)]"/>
<output a0="facez010"/>
</command>
<element type="polygon3d" label="facez010">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="s010 ∧ (¬z010)"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="1"/>
<labelMode val="0"/>
<ggbscript val="SetValue[z010, !z010] SetValue[y001, !y001]"/>
</element>
<command name="Translate">
<input a0="facey" a1="Vector[(0, 0, 1)]"/>
<output a0="facey001"/>
</command>
<element type="polygon3d" label="facey001">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="s001 ∧ (¬y001)"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="1"/>
<labelMode val="0"/>
<ggbscript val="SetValue[y001, !y001] SetValue[z010, !z010]"/>
</element>
<expression label ="z010" exp="false"/>
<element type="boolean" label="z010">
<value val="false"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
<expression label ="y001" exp="false"/>
<element type="boolean" label="y001">
<value val="false"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
<command name="Translate">
<input a0="Cube[(0, 0), (1, 0), Point[Circle[(1, 0), Distance[(0, 0), (1, 0)], Segment[(0, 0), (1, 0)]]]]" a1="Vector[(1, 0, 1)]"/>
<output a0="b"/>
</command>
<element type="polyhedron" label="b">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="z010 ∨ y001"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="1"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
</element>
<command name="Translate">
<input a0="facey" a1="Vector[(0, -1, 0)]"/>
<output a0="facey010"/>
</command>
<element type="polygon3d" label="facey010">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="s010 ∧ (¬y010)"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="1"/>
<labelMode val="0"/>
<ggbscript val="SetValue[y010, !y010]"/>
</element>
<expression label ="y010" exp="false"/>
<element type="boolean" label="y010">
<value val="false"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
<command name="Translate">
<input a0="Cube[(0, 0), (1, 0), Point[Circle[(1, 0), Distance[(0, 0), (1, 0)], Segment[(0, 0), (1, 0)]]]]" a1="Vector[(1, -1)]"/>
<output a0="c"/>
</command>
<element type="polyhedron" label="c">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="y010"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="1"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
</element>
<command name="Translate">
<input a0="facey" a1="Vector[(1, -1, 0)]"/>
<output a0="facey110"/>
</command>
<element type="polygon3d" label="facey110">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="(x010 ∨ y100) ∧ (¬y110)"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="1"/>
<labelMode val="0"/>
<ggbscript val="SetValue[y110, !y110] SetValue[x020, !x020]"/>
</element>
<expression label ="y110" exp="false"/>
<element type="boolean" label="y110">
<value val="false"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
<command name="Translate">
<input a0="facex" a1="Vector[(0, -2, 0)]"/>
<output a0="facex020"/>
</command>
<element type="polygon3d" label="facex020">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="y010 ∧ (¬x020)"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="1"/>
<labelMode val="0"/>
<ggbscript val="SetValue[x020, !x020] SetValue[y110, !y110]"/>
</element>
<expression label ="x020" exp="false"/>
<element type="boolean" label="x020">
<value val="false"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
<command name="Translate">
<input a0="Cube[(0, 0), (1, 0), Point[Circle[(1, 0), Distance[(0, 0), (1, 0)], Segment[(0, 0), (1, 0)]]]]" a1="Vector[(2, -1)]"/>
<output a0="d"/>
</command>
<element type="polyhedron" label="d">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="x020 ∨ y110"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="1"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
</element>
<command name="Translate">
<input a0="facey" a1="Vector[(0, -2, 0)]"/>
<output a0="facey020"/>
</command>
<element type="polygon3d" label="facey020">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="y010 ∧ (¬y020)"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="1"/>
<labelMode val="0"/>
<ggbscript val="SetValue[y020, !y020]"/>
</element>
<expression label ="y020" exp="false"/>
<element type="boolean" label="y020">
<value val="false"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
<command name="Translate">
<input a0="Cube[(0, 0), (1, 0), Point[Circle[(1, 0), Distance[(0, 0), (1, 0)], Segment[(0, 0), (1, 0)]]]]" a1="Vector[(1, -2)]"/>
<output a0="i"/>
</command>
<element type="polyhedron" label="i">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="y020"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="1"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
</element>
<command name="Translate">
<input a0="facey" a1="Vector[(1, -2, 0)]"/>
<output a0="facey120"/>
</command>
<element type="polygon3d" label="facey120">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="(x020 ∨ y110) ∧ (¬y120)"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="1"/>
<labelMode val="0"/>
<ggbscript val="SetValue[y120,!y120] SetValue[x030, !x030]"/>
</element>
<expression label ="y120" exp="false"/>
<element type="boolean" label="y120">
<value val="false"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
<command name="Translate">
<input a0="facex" a1="Vector[(0, -3, 0)]"/>
<output a0="facex030"/>
</command>
<element type="polygon3d" label="facex030">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="y020 ∧ (¬x030)"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="1"/>
<labelMode val="0"/>
<ggbscript val="SetValue[x030, !x030] SetValue[y120,!y120]"/>
</element>
<expression label ="x030" exp="false"/>
<element type="boolean" label="x030">
<value val="false"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
<command name="Translate">
<input a0="Cube[(0, 0), (1, 0), Point[Circle[(1, 0), Distance[(0, 0), (1, 0)], Segment[(0, 0), (1, 0)]]]]" a1="Vector[(2, -2)]"/>
<output a0="j"/>
</command>
<element type="polyhedron" label="j">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="x030 ∨ y120"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="1"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
</element>
<command name="Translate">
<input a0="facex" a1="Vector[(1, 0, 0)]"/>
<output a0="facex100"/>
</command>
<element type="polygon3d" label="facex100">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="s100 ∧ (¬x100)"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="1"/>
<labelMode val="0"/>
<ggbscript val="SetValue[x100,!x100]"/>
</element>
<expression label ="x100" exp="false"/>
<element type="boolean" label="x100">
<value val="false"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
<command name="Translate">
<input a0="Cube[(0, 0), (1, 0), Point[Circle[(1, 0), Distance[(0, 0), (1, 0)], Segment[(0, 0), (1, 0)]]]]" a1="Vector[(3, 1)]"/>
<output a0="k"/>
</command>
<element type="polyhedron" label="k">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="x100"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="1"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
</element>
<command name="Translate">
<input a0="facex" a1="Vector[(1, -1, 0)]"/>
<output a0="facex110"/>
</command>
<element type="polygon3d" label="facex110">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="(x010 ∨ y100) ∧ (¬x110)"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="1"/>
<labelMode val="0"/>
<ggbscript val="SetValue[x110,!x110] SetValue[y200,!y200]"/>
</element>
<expression label ="x110" exp="false"/>
<element type="boolean" label="x110">
<value val="false"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
<command name="Translate">
<input a0="facey" a1="Vector[(2, 0, 0)]"/>
<output a0="facey200"/>
</command>
<element type="polygon3d" label="facey200">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="x100 ∧ (¬y200)"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="1"/>
<labelMode val="0"/>
<ggbscript val="SetValue[y200,!y200] SetValue[x110,!x110]"/>
</element>
<expression label ="y200" exp="false"/>
<element type="boolean" label="y200">
<value val="false"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
<command name="Translate">
<input a0="Cube[(0, 0), (1, 0), Point[Circle[(1, 0), Distance[(0, 0), (1, 0)], Segment[(0, 0), (1, 0)]]]]" a1="Vector[(3, 0)]"/>
<output a0="l"/>
</command>
<element type="polyhedron" label="l">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="x110 ∨ y200"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="1"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
</element>
<command name="Translate">
<input a0="facey" a1="Vector[(2, -1, 0)]"/>
<output a0="facey210"/>
</command>
<element type="polygon3d" label="facey210">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="(x110 ∨ y200) ∧ (¬y210)"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="1"/>
<labelMode val="0"/>
<ggbscript val="SetValue[x120, !x120] SetValue[y210, !y210]"/>
</element>
<command name="Translate">
<input a0="facex" a1="Vector[(1, -2, 0)]"/>
<output a0="facex120"/>
</command>
<element type="polygon3d" label="facex120">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="(x020 ∨ y110) ∧ (¬x120)"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="1"/>
<labelMode val="0"/>
<ggbscript val="SetValue[x120, !x120] SetValue[y210, !y210] "/>
</element>
<expression label ="x120" exp="false"/>
<element type="boolean" label="x120">
<value val="false"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
<expression label ="y210" exp="false"/>
<element type="boolean" label="y210">
<value val="false"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
<command name="Translate">
<input a0="Cube[(0, 0), (1, 0), Point[Circle[(1, 0), Distance[(0, 0), (1, 0)], Segment[(0, 0), (1, 0)]]]]" a1="Vector[(3, -1)]"/>
<output a0="m"/>
</command>
<element type="polyhedron" label="m">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="x120 ∨ y210"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="1"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
</element>
<command name="Translate">
<input a0="facey" a1="Vector[(2, -2, 0)]"/>
<output a0="facey220"/>
</command>
<element type="polygon3d" label="facey220">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="(x120 ∨ y210) ∧ (¬y220)"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="1"/>
<labelMode val="0"/>
<ggbscript val="SetValue[y220, !y220] SetValue[x130, !x130]"/>
</element>
<command name="Translate">
<input a0="facex" a1="Vector[(1, -3, 0)]"/>
<output a0="facex130"/>
</command>
<element type="polygon3d" label="facex130">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="(x030 ∨ y120) ∧ (¬x130)"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="1"/>
<labelMode val="0"/>
<ggbscript val="SetValue[y220, !y220] SetValue[x130, !x130]"/>
</element>
<expression label ="y220" exp="false"/>
<element type="boolean" label="y220">
<value val="false"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
<expression label ="x130" exp="false"/>
<element type="boolean" label="x130">
<value val="false"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
<command name="Translate">
<input a0="Cube[(0, 0), (1, 0), Point[Circle[(1, 0), Distance[(0, 0), (1, 0)], Segment[(0, 0), (1, 0)]]]]" a1="Vector[(3, -2)]"/>
<output a0="n"/>
</command>
<element type="polyhedron" label="n">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="x130 ∨ y220"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="1"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
</element>
<command name="Translate">
<input a0="facey" a1="Vector[(0, -1, 1)]"/>
<output a0="facey011"/>
</command>
<element type="polygon3d" label="facey011">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="(z010 ∨ y001) ∧ (¬y011)"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="1"/>
<labelMode val="0"/>
<ggbscript val="SetValue[z020, !z020] SetValue[y011, !y011]"/>
</element>
<command name="Translate">
<input a0="facez" a1="Vector[(0, -2, 0)]"/>
<output a0="facez020"/>
</command>
<element type="polygon3d" label="facez020">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="y010 ∧ (¬z020)"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="1"/>
<labelMode val="0"/>
<ggbscript val="SetValue[z020, !z020] SetValue[y011, !y011]"/>
</element>
<expression label ="z020" exp="false"/>
<element type="boolean" label="z020">
<value val="false"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
<expression label ="y011" exp="false"/>
<element type="boolean" label="y011">
<value val="false"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
<command name="Translate">
<input a0="Cube[(0, 0), (1, 0), Point[Circle[(1, 0), Distance[(0, 0), (1, 0)], Segment[(0, 0), (1, 0)]]]]" a1="Vector[(1, -1, 1)]"/>
<output a0="o"/>
</command>
<element type="polyhedron" label="o">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="y011 ∨ z020"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="1"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
</element>
<command name="Translate">
<input a0="facez" a1="Vector[(0, -3, 0)]"/>
<output a0="facez030"/>
</command>
<element type="polygon3d" label="facez030">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="y020 ∧ (¬z030)"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="1"/>
<labelMode val="0"/>
<ggbscript val="SetValue[z030, !z030] SetValue[y021, !y021]"/>
</element>
<command name="Translate">
<input a0="facey" a1="Vector[(0, -2, 1)]"/>
<output a0="facey021"/>
</command>
<element type="polygon3d" label="facey021">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="(y011 ∨ z020) ∧ (¬y021)"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="1"/>
<labelMode val="0"/>
<ggbscript val="SetValue[z030, !z030] SetValue[y021, !y021]"/>
</element>
<expression label ="z030" exp="false"/>
<element type="boolean" label="z030">
<value val="false"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
<expression label ="y021" exp="false"/>
<element type="boolean" label="y021">
<value val="false"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
<command name="Translate">
<input a0="Cube[(0, 0), (1, 0), Point[Circle[(1, 0), Distance[(0, 0), (1, 0)], Segment[(0, 0), (1, 0)]]]]" a1="Vector[(1, -2, 1)]"/>
<output a0="p"/>
</command>
<element type="polyhedron" label="p">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="z030 ∨ y021"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="1"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
</element>
<command name="Translate">
<input a0="facex" a1="Vector[(0, 0, 1)]"/>
<output a0="facex001"/>
</command>
<element type="polygon3d" label="facex001">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="s001 ∧ (¬x001)"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="1"/>
<labelMode val="0"/>
<ggbscript val="SetValue[x001, !x001] SetValue[z100, !z100]"/>
</element>
<command name="Translate">
<input a0="facez" a1="Vector[(1, 0, 0)]"/>
<output a0="facez100"/>
</command>
<element type="polygon3d" label="facez100">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="s100 ∧ (¬z100)"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="1"/>
<labelMode val="0"/>
<ggbscript val="SetValue[x001, !x001] SetValue[z100, !z100]"/>
</element>
<expression label ="x001" exp="false"/>
<element type="boolean" label="x001">
<value val="false"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
<expression label ="z100" exp="false"/>
<element type="boolean" label="z100">
<value val="false"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
<command name="Translate">
<input a0="Cube[(0, 0), (1, 0), Point[Circle[(1, 0), Distance[(0, 0), (1, 0)], Segment[(0, 0), (1, 0)]]]]" a1="Vector[(2, 1, 1)]"/>
<output a0="q"/>
</command>
<element type="polyhedron" label="q">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="x001 ∨ z100"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="1"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
</element>
<command name="Translate">
<input a0="facex" a1="Vector[(0, -1, 1)]"/>
<output a0="facex011"/>
</command>
<element type="polygon3d" label="facex011">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="(z010 ∨ y001) ∧ (¬x011)"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="1"/>
<labelMode val="0"/>
<ggbscript val="SetValue[x011, !x011] SetValue[y101, !y101] SetValue[z110, !z110]"/>
</element>
<command name="Translate">
<input a0="facey" a1="Vector[(1, 0, 1)]"/>
<output a0="facey101"/>
</command>
<element type="polygon3d" label="facey101">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="(x001 ∨ z100) ∧ (¬y101)"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="1"/>
<labelMode val="0"/>
<ggbscript val="SetValue[x011, !x011] SetValue[y101, !y101] SetValue[z110, !z110]"/>
</element>
<command name="Translate">
<input a0="facez" a1="Vector[(1, -1, 0)]"/>
<output a0="facez110"/>
</command>
<element type="polygon3d" label="facez110">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="(x010 ∨ y100) ∧ (¬z110)"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="1"/>
<labelMode val="0"/>
<ggbscript val="SetValue[x011, !x011] SetValue[y101, !y101] SetValue[z110, !z110]"/>
</element>
<expression label ="x011" exp="false"/>
<element type="boolean" label="x011">
<value val="false"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
<expression label ="y101" exp="false"/>
<element type="boolean" label="y101">
<value val="false"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
<expression label ="z110" exp="false"/>
<element type="boolean" label="z110">
<value val="false"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
<command name="Translate">
<input a0="Cube[(0, 0), (1, 0), Point[Circle[(1, 0), Distance[(0, 0), (1, 0)], Segment[(0, 0), (1, 0)]]]]" a1="Vector[(2, 0, 1)]"/>
<output a0="r"/>
</command>
<element type="polyhedron" label="r">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="false" label="false" ev="4"/>
<condition showObject="x011 ∨ y101 ∨ z110"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="1"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
</element>
<command name="Translate">
<input a0="facex" a1="Vector[(0, -2, 1)]"/>
<output a0="facex021"/>
</command>
<element type="polygon3d" label="facex021">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="(y011 ∨ z020) ∧ (¬x021)"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="1"/>
<labelMode val="0"/>
<ggbscript val="SetValue[x021, !x021] SetValue[y111, !y111] SetValue[z120, !z120]"/>
</element>
<command name="Translate">
<input a0="facey" a1="Vector[(1, -1, 1)]"/>
<output a0="facey111"/>
</command>
<element type="polygon3d" label="facey111">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="(x011 ∨ y101 ∨ z110) ∧ (¬y111)"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="1"/>
<labelMode val="0"/>
<ggbscript val="SetValue[x021, !x021] SetValue[y111, !y111] SetValue[z120, !z120]"/>
</element>
<command name="Translate">
<input a0="facez" a1="Vector[(1, -2, 0)]"/>
<output a0="facez120"/>
</command>
<element type="polygon3d" label="facez120">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="(x020 ∨ y110) ∧ (¬z120)"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="1"/>
<labelMode val="0"/>
<ggbscript val="SetValue[x021, !x021] SetValue[y111, !y111] SetValue[z120, !z120]"/>
</element>
<expression label ="x021" exp="false"/>
<element type="boolean" label="x021">
<value val="false"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
<expression label ="y111" exp="false"/>
<element type="boolean" label="y111">
<value val="false"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
<expression label ="z120" exp="false"/>
<element type="boolean" label="z120">
<value val="false"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
<command name="Translate">
<input a0="Cube[(0, 0), (1, 0), Point[Circle[(1, 0), Distance[(0, 0), (1, 0)], Segment[(0, 0), (1, 0)]]]]" a1="Vector[(2, -1, 1)]"/>
<output a0="s"/>
</command>
<element type="polyhedron" label="s">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="x021 ∨ y111 ∨ z120"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="1"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
</element>
<command name="Translate">
<input a0="facex" a1="Vector[(0, -3, 1)]"/>
<output a0="facex031"/>
</command>
<element type="polygon3d" label="facex031">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="(z030 ∨ y021) ∧ (¬x031)"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="1"/>
<labelMode val="0"/>
<ggbscript val="SetValue[x031, !x031] SetValue[y121, !y121] SetValue[z130, !z130]"/>
</element>
<command name="Translate">
<input a0="facey" a1="Vector[(1, -2, 1)]"/>
<output a0="facey121"/>
</command>
<element type="polygon3d" label="facey121">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="(x021 ∨ y111 ∨ z120) ∧ (¬y121)"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="1"/>
<labelMode val="0"/>
<ggbscript val="SetValue[x031, !x031] SetValue[y121, !y121] SetValue[z130, !z130]"/>
</element>
<command name="Translate">
<input a0="facez" a1="Vector[(1, -3, 0)]"/>
<output a0="facez130"/>
</command>
<element type="polygon3d" label="facez130">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="(x030 ∨ y120) ∧ (¬z130)"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="1"/>
<labelMode val="0"/>
<ggbscript val="SetValue[x031, !x031] SetValue[y121, !y121] SetValue[z130, !z130]"/>
</element>
<expression label ="x031" exp="false"/>
<element type="boolean" label="x031">
<value val="false"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
<expression label ="y121" exp="false"/>
<element type="boolean" label="y121">
<value val="false"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
<expression label ="z130" exp="false"/>
<element type="boolean" label="z130">
<value val="false"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
<command name="Translate">
<input a0="Cube[(0, 0), (1, 0), Point[Circle[(1, 0), Distance[(0, 0), (1, 0)], Segment[(0, 0), (1, 0)]]]]" a1="Vector[(2, -2, 1)]"/>
<output a0="t"/>
</command>
<element type="polyhedron" label="t">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="x031 ∨ y121 ∨ z130"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="1"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
</element>
<command name="Translate">
<input a0="facez" a1="Vector[(0, 0, 1)]"/>
<output a0="facez001"/>
</command>
<element type="polygon3d" label="facez001">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="s001 ∧ (¬z001) ∧ (¬z001)"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="1"/>
<labelMode val="0"/>
<ggbscript val="SetValue[z001, !z001]"/>
</element>
<expression label ="z001" exp="false"/>
<element type="boolean" label="z001">
<value val="false"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
<command name="Translate">
<input a0="Cube[(0, 0), (1, 0), Point[Circle[(1, 0), Distance[(0, 0), (1, 0)], Segment[(0, 0), (1, 0)]]]]" a1="Vector[(1, 1, 2)]"/>
<output a0="u"/>
</command>
<element type="polyhedron" label="u">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="z001"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="1"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
</element>
<command name="Translate">
<input a0="facey" a1="Vector[(0, 0, 2)]"/>
<output a0="facey002"/>
</command>
<element type="polygon3d" label="facey002">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="z001 ∧ (¬y002)"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="1"/>
<labelMode val="0"/>
<ggbscript val="SetValue[z011, !z011] SetValue[y002, !y002]"/>
</element>
<command name="Translate">
<input a0="facez" a1="Vector[(0, -1, 1)]"/>
<output a0="facez011"/>
</command>
<element type="polygon3d" label="facez011">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="(z010 ∨ y001) ∧ (¬z011)"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="1"/>
<labelMode val="0"/>
<ggbscript val="SetValue[z011, !z011] SetValue[y002, !y002]"/>
</element>
<expression label ="z011" exp="false"/>
<element type="boolean" label="z011">
<value val="false"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
<expression label ="y002" exp="false"/>
<element type="boolean" label="y002">
<value val="false"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
<command name="Translate">
<input a0="Cube[(0, 0), (1, 0), Point[Circle[(1, 0), Distance[(0, 0), (1, 0)], Segment[(0, 0), (1, 0)]]]]" a1="Vector[(1, 0, 2)]"/>
<output a0="v"/>
</command>
<element type="polyhedron" label="v">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="z011 ∨ y002"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="1"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
</element>
<command name="Translate">
<input a0="facez" a1="Vector[(0, -2, 1)]"/>
<output a0="facez021"/>
</command>
<element type="polygon3d" label="facez021">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="(y011 ∨ z020) ∧ (¬z021)"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="1"/>
<labelMode val="0"/>
<ggbscript val="SetValue[z021, !z021] SetValue[y012, !y012]"/>
</element>
<command name="Translate">
<input a0="facey" a1="Vector[(0, -1, 2)]"/>
<output a0="facey012"/>
</command>
<element type="polygon3d" label="facey012">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="(z011 ∨ y002) ∧ (¬y012)"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="1"/>
<labelMode val="0"/>
<ggbscript val="SetValue[z021, !z021] SetValue[y012, !y012]"/>
</element>
<expression label ="y012" exp="false"/>
<element type="boolean" label="y012">
<value val="false"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
<expression label ="z021" exp="false"/>
<element type="boolean" label="z021">
<value val="false"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
<command name="Translate">
<input a0="Cube[(0, 0), (1, 0), Point[Circle[(1, 0), Distance[(0, 0), (1, 0)], Segment[(0, 0), (1, 0)]]]]" a1="Vector[(1, -1, 2)]"/>
<output a0="w"/>
</command>
<element type="polyhedron" label="w">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="z021 ∨ y012"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="1"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
</element>
<command name="Translate">
<input a0="facez" a1="Vector[(0, -3, 1)]"/>
<output a0="facez031"/>
</command>
<element type="polygon3d" label="facez031">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="(z030 ∨ y021) ∧ (¬z031)"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="1"/>
<labelMode val="0"/>
<ggbscript val="SetValue[z031, !z031] SetValue[y022, !y022]"/>
</element>
<command name="Translate">
<input a0="facey" a1="Vector[(0, -2, 2)]"/>
<output a0="facey022"/>
</command>
<element type="polygon3d" label="facey022">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="(z021 ∨ y012) ∧ (¬y022)"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="1"/>
<labelMode val="0"/>
<ggbscript val="SetValue[z031, !z031] SetValue[y022, !y022]"/>
</element>
<expression label ="z031" exp="false"/>
<element type="boolean" label="z031">
<value val="false"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
<expression label ="y022" exp="false"/>
<element type="boolean" label="y022">
<value val="false"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
<command name="Translate">
<input a0="Cube[(0, 0), (1, 0), Point[Circle[(1, 0), Distance[(0, 0), (1, 0)], Segment[(0, 0), (1, 0)]]]]" a1="Vector[(1, -2, 2)]"/>
<output a0="a_1"/>
</command>
<element type="polyhedron" label="a_1">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="z031 ∨ y022"/>
<objColor r="255" g="192" b="203" alpha="1"/>
<layer val="1"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
</element>
<command name="Translate">
<input a0="Cube[(0, 0), (1, 0), Point[Circle[(1, 0), Distance[(0, 0), (1, 0)], Segment[(0, 0), (1, 0)]]]]" a1="Vector[(0, 0), (2, 1)]"/>
<output a0="f'"/>
</command>
<element type="polyhedron" label="f'">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="s100"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="1"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
</element>
<command name="Translate">
<input a0="Cube[(0, 0), (1, 0), Point[Circle[(1, 0), Distance[(0, 0), (1, 0)], Segment[(0, 0), (1, 0)]]]]" a1="Vector[(2, 0)]"/>
<output a0="a'"/>
</command>
<element type="polyhedron" label="a'">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="x010 ∨ y100"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="1"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
</element>
<command name="Translate">
<input a0="Cube[(0, 0), (1, 0), Point[Circle[(1, 0), Distance[(0, 0), (1, 0)], Segment[(0, 0), (1, 0)]]]]" a1="Vector[(3, 0)]"/>
<output a0="l'"/>
</command>
<element type="polyhedron" label="l'">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="x110 ∨ y200"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="1"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
</element>
<command name="Translate">
<input a0="Cube[(0, 0), (1, 0), Point[Circle[(1, 0), Distance[(0, 0), (1, 0)], Segment[(0, 0), (1, 0)]]]]" a1="Vector[(0, 0), (1, 0)]"/>
<output a0="g'"/>
</command>
<element type="polyhedron" label="g'">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="s010"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="1"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
</element>
<command name="Translate">
<input a0="Cube[(0, 0), (1, 0), Point[Circle[(1, 0), Distance[(0, 0), (1, 0)], Segment[(0, 0), (1, 0)]]]]" a1="Vector[(3, 1)]"/>
<output a0="k'"/>
</command>
<element type="polyhedron" label="k'">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="x100"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="1"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
</element>
<command name="Translate">
<input a0="Cube[(0, 0), (1, 0), Point[Circle[(1, 0), Distance[(0, 0), (1, 0)], Segment[(0, 0), (1, 0)]]]]" a1="Vector[(1, -1)]"/>
<output a0="c'"/>
</command>
<element type="polyhedron" label="c'">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="y010"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="1"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
</element>
<command name="Translate">
<input a0="Cube[(0, 0), (1, 0), Point[Circle[(1, 0), Distance[(0, 0), (1, 0)], Segment[(0, 0), (1, 0)]]]]" a1="Vector[(1, -2)]"/>
<output a0="i'"/>
</command>
<element type="polyhedron" label="i'">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="y020"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="1"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
</element>
<command name="Translate">
<input a0="Cube[(0, 0), (1, 0), Point[Circle[(1, 0), Distance[(0, 0), (1, 0)], Segment[(0, 0), (1, 0)]]]]" a1="Vector[(2, -1)]"/>
<output a0="d'"/>
</command>
<element type="polyhedron" label="d'">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="x020 ∨ y110"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="1"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
</element>
<command name="Translate">
<input a0="Cube[(0, 0), (1, 0), Point[Circle[(1, 0), Distance[(0, 0), (1, 0)], Segment[(0, 0), (1, 0)]]]]" a1="Vector[(2, -2)]"/>
<output a0="j'"/>
</command>
<element type="polyhedron" label="j'">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="x030 ∨ y120"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="1"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
</element>
<command name="Translate">
<input a0="Cube[(0, 0), (1, 0), Point[Circle[(1, 0), Distance[(0, 0), (1, 0)], Segment[(0, 0), (1, 0)]]]]" a1="Vector[(3, -1)]"/>
<output a0="m'"/>
</command>
<element type="polyhedron" label="m'">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="x120 ∨ y210"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="1"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
</element>
<command name="Translate">
<input a0="Cube[(0, 0), (1, 0), Point[Circle[(1, 0), Distance[(0, 0), (1, 0)], Segment[(0, 0), (1, 0)]]]]" a1="Vector[(3, -2)]"/>
<output a0="n'"/>
</command>
<element type="polyhedron" label="n'">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="x130 ∨ y220"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="1"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
</element>
<command name="Translate">
<input a0="Cube[(0, 0), (1, 0), Point[Circle[(1, 0), Distance[(0, 0), (1, 0)], Segment[(0, 0), (1, 0)]]]]" a1="Vector[(0, 0), (1, 1, 1)]"/>
<output a0="h'"/>
</command>
<element type="polyhedron" label="h'">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="s001"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="1"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
</element>
<command name="Translate">
<input a0="Cube[(0, 0), (1, 0), Point[Circle[(1, 0), Distance[(0, 0), (1, 0)], Segment[(0, 0), (1, 0)]]]]" a1="Vector[(1, 0, 1)]"/>
<output a0="b'"/>
</command>
<element type="polyhedron" label="b'">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="z010 ∨ y001"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="1"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
</element>
<command name="Translate">
<input a0="Cube[(0, 0), (1, 0), Point[Circle[(1, 0), Distance[(0, 0), (1, 0)], Segment[(0, 0), (1, 0)]]]]" a1="Vector[(1, -1, 1)]"/>
<output a0="o'"/>
</command>
<element type="polyhedron" label="o'">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="y011 ∨ z020"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="1"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
</element>
<command name="Translate">
<input a0="Cube[(0, 0), (1, 0), Point[Circle[(1, 0), Distance[(0, 0), (1, 0)], Segment[(0, 0), (1, 0)]]]]" a1="Vector[(1, -2, 1)]"/>
<output a0="p'"/>
</command>
<element type="polyhedron" label="p'">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="z030 ∨ y021"/>
<objColor r="32" g="32" b="32" alpha="0"/>
<layer val="1"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
</element>
<command name="Translate">
<input a0="Cube[(0, 0), (1, 0), Point[Circle[(1, 0), Distance[(0, 0), (1, 0)], Segment[(0, 0), (1, 0)]]]]" a1="Vector[(2, 1, 1)]"/>
<output a0="q'"/>
</command>
<element type="polyhedron" label="q'">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="x001 ∨ z100"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="1"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
</element>
<command name="Translate">
<input a0="Cube[(0, 0), (1, 0), Point[Circle[(1, 0), Distance[(0, 0), (1, 0)], Segment[(0, 0), (1, 0)]]]]" a1="Vector[(2, 0, 1)]"/>
<output a0="r'"/>
</command>
<element type="polyhedron" label="r'">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="x011 ∨ y101 ∨ z110"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="1"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
</element>
<command name="Translate">
<input a0="Cube[(0, 0), (1, 0), Point[Circle[(1, 0), Distance[(0, 0), (1, 0)], Segment[(0, 0), (1, 0)]]]]" a1="Vector[(2, -1, 1)]"/>
<output a0="s'"/>
</command>
<element type="polyhedron" label="s'">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="x021 ∨ y111 ∨ z120"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="1"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
</element>
<command name="Translate">
<input a0="Cube[(0, 0), (1, 0), Point[Circle[(1, 0), Distance[(0, 0), (1, 0)], Segment[(0, 0), (1, 0)]]]]" a1="Vector[(2, -2, 1)]"/>
<output a0="t'"/>
</command>
<element type="polyhedron" label="t'">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="x031 ∨ y121 ∨ z130"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="1"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
</element>
<command name="Translate">
<input a0="Cube[(0, 0), (1, 0), Point[Circle[(1, 0), Distance[(0, 0), (1, 0)], Segment[(0, 0), (1, 0)]]]]" a1="Vector[(1, 1, 2)]"/>
<output a0="u'"/>
</command>
<element type="polyhedron" label="u'">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="z001"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="1"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
</element>
<command name="Translate">
<input a0="Cube[(0, 0), (1, 0), Point[Circle[(1, 0), Distance[(0, 0), (1, 0)], Segment[(0, 0), (1, 0)]]]]" a1="Vector[(1, 0, 2)]"/>
<output a0="v'"/>
</command>
<element type="polyhedron" label="v'">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="z011 ∨ y002"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="1"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
</element>
<command name="Translate">
<input a0="Cube[(0, 0), (1, 0), Point[Circle[(1, 0), Distance[(0, 0), (1, 0)], Segment[(0, 0), (1, 0)]]]]" a1="Vector[(1, -1, 2)]"/>
<output a0="w'"/>
</command>
<element type="polyhedron" label="w'">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="z021 ∨ y012"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="1"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
</element>
<command name="Translate">
<input a0="Cube[(0, 0), (1, 0), Point[Circle[(1, 0), Distance[(0, 0), (1, 0)], Segment[(0, 0), (1, 0)]]]]" a1="Vector[(1, -2, 2)]"/>
<output a0="a_1'"/>
</command>
<element type="polyhedron" label="a_1'">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<condition showObject="z031 ∨ y022"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="1"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
</element>
<expression label="count1" exp="1 + s100 + x100 + s010 + y100 + y200 + y010 + y110 + y210 + y020 + y120 + y220" />
<element type="numeric" label="count1">
<value val="1"/>
<objColor r="0" g="0" b="0" alpha="0.1"/>
</element>
<expression label="count2" exp="s001 + x001 + y001 + y101 + y011 + y111 + y021 + y121" />
<element type="numeric" label="count2">
<value val="0"/>
<objColor r="0" g="0" b="0" alpha="0.1"/>
</element>
<command name="Translate">
<input a0="Prism[Polygon[(1, 2, 0), (4, 2, 0), (4, 2, 1), (3, 2, 1), (3, 2, 2), (2, 2, 2), (2, 2, 3), (1, 2, 3)], (1, -2, 0)]" a1="Vector[(-6, 0)]"/>
<output a0="b_1"/>
</command>
<element type="polyhedron" label="b_1">
<lineStyle thickness="1" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<objColor r="153" g="204" b="255" alpha="1"/>
<layer val="2"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
</element>
<expression label="count3" exp="z001 + y002 + y012 + y022" />
<element type="numeric" label="count3">
<value val="0"/>
<objColor r="0" g="0" b="0" alpha="0.1"/>
</element>
<command name="Translate">
<input a0="Prism[Polygon[(1, 2, 0), (4, 2, 0), (4, 2, 1), (3, 2, 1), (3, 2, 2), (2, 2, 2), (2, 2, 3), (1, 2, 3)], (1, -2, 0)]" a1="Vector[(-6, 0)]"/>
<output a0="c_1"/>
</command>
<element type="polyhedron" label="c_1">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="2"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
</element>
<command name="Translate">
<input a0="Polygon[(1, 2, 0), (4, 2, 0), (4, 2, 1), (3, 2, 1), (3, 2, 2), (2, 2, 2), (2, 2, 3), (1, 2, 3)]" a1="Vector[(-6, -1)]"/>
<output a0="poly1"/>
</command>
<element type="polygon3d" label="poly1">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="2"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
</element>
<command name="Translate">
<input a0="Polygon[(1, 2, 0), (4, 2, 0), (4, 2, 1), (3, 2, 1), (3, 2, 2), (2, 2, 2), (2, 2, 3), (1, 2, 3)]" a1="Vector[(-6, -2)]"/>
<output a0="poly2"/>
</command>
<element type="polygon3d" label="poly2">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="2"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
</element>
<command name="Translate">
<input a0="Polygon[(-5, 2, 2), (-5, -2, 2), (-4, -2, 2), (-4, 2, 2)]" a1="Vector[(0, 0)]"/>
<output a0="poly4"/>
</command>
<element type="polygon3d" label="poly4">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="2"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
</element>
<command name="Translate">
<input a0="Polygon[(-5, 2, 1), (-5, -2, 1), (-3, -2, 1), (-3, 2, 1)]" a1="Vector[(0, 0)]"/>
<output a0="poly5"/>
</command>
<element type="polygon3d" label="poly5">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="2"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
</element>
<command name="Translate">
<input a0="Polygon[(1, 2, 0), (4, 2, 0), (4, 2, 1), (3, 2, 1), (3, 2, 2), (2, 2, 2), (2, 2, 3), (1, 2, 3)]" a1="Vector[(-6, -3)]"/>
<output a0="poly3"/>
</command>
<element type="polygon3d" label="poly3">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="2"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
</element>
<command name="Translate">
<input a0="Polygon[(-4, 2, 2), (-4, -2, 2), (-4, -2, 0), (-4, 2, 0)]" a1="Vector[(0, 0)]"/>
<output a0="poly6"/>
</command>
<element type="polygon3d" label="poly6">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="2"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
</element>
<command name="Translate">
<input a0="Polygon[(-3, 2, 1), (-3, -2, 1), (-3, -2, 0), (-3, 2, 0)]" a1="Vector[(0, 0)]"/>
<output a0="poly7"/>
</command>
<element type="polygon3d" label="poly7">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="2"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
</element>
<element type="button" label="button1">
<show object="true" label="true" ev="3"/>
<condition showObject="vol"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="1"/>
<labelOffset x="818" y="69"/>
<labelMode val="0"/>
<fixed val="true"/>
<auxiliary val="true"/>
<ggbscript val="SetValue[s001, false] SetValue[s010, false] SetValue[s100, false] SetValue[x001, false] SetValue[x010, false] SetValue[x011, false] SetValue[x020, false] SetValue[x021, false] SetValue[x030, false] SetValue[x031, false] SetValue[x100, false] SetValue[x110, false] SetValue[x120, false] SetValue[x130, false] SetValue[y001, false] SetValue[y002, false] SetValue[y010, false] SetValue[y011, false] SetValue[y011, false] SetValue[y012, false] SetValue[y020, false] SetValue[y021, false] SetValue[y022, false] SetValue[y100, false] SetValue[y101, false] SetValue[y110, false] SetValue[y111, false] SetValue[y120, false] SetValue[y121, false] SetValue[y200, false] SetValue[y210, false] SetValue[y220, false] SetValue[z001, false] SetValue[z010, false] SetValue[z011, false] SetValue[z020, false] SetValue[z021, false] SetValue[z030, false] SetValue[z031, false] SetValue[z100, false] SetValue[z110, false] SetValue[z120, false] SetValue[z130, false] SetValue[vol, false]"/>
<font serif="false" sizeM="2" size="20" style="0"/>
<caption val="重設"/>
</element>
<element type="boolean" label="vol">
<value val="false"/>
<show object="true" label="true" ev="3"/>
<condition showObject="¬vol"/>
<objColor r="255" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelOffset x="768" y="12"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
<ggbscript onUpdate="SetValue[started, true]"/>
<caption val="量度體積"/>
</element>
<expression label="text2" exp=""以下立體圖形是用立方厘米積木砌成。它的體積是多少？""/>
<element type="text" label="text2">
<show object="true" label="false" ev="43"/>
<condition showObject="¬vol"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="2"/>
<labelMode val="0"/>
<fixed val="true"/>
<font serif="false" sizeM="1.4" size="8" style="0"/>
<absoluteScreenLocation x="6" y="38"/>
</element>
<expression label="text3" exp=""\Large\text{立體圖形的體積是：\;\;}\fgcolor{red}\text{" + (LaTeX[count1 + count2 + count3]) + "\;cm^3}"" />
<element type="text" label="text3">
<show object="true" label="false" ev="11"/>
<condition showObject="vol"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="1"/>
<labelMode val="0"/>
<fixed val="true"/>
<isLaTeX val="true"/>
<font serif="true" sizeM="1" size="0" style="0"/>
<absoluteScreenLocation x="246" y="60"/>
</element>
<expression label ="started" exp="false"/>
<element type="boolean" label="started">
<value val="true"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
<element type="point3d" label="D">
<show object="false" label="true" ev="4"/>
<objColor r="0" g="0" b="255" alpha="0"/>
<layer val="2"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="0" playing="false"/>
<coords x="-5.3611697364740545" y="4.985494011735881" z="0" w="1"/>
<pointSize val="5"/>
</element>
<expression label="E" exp="D - (0, 9, 0)" type="point" />
<element type="point3d" label="E">
<show object="false" label="true" ev="4"/>
<objColor r="68" g="68" b="68" alpha="0"/>
<layer val="2"/>
<labelMode val="0"/>
<coords x="-5.3611697364740545" y="-4.014505988264119" z="0" w="1"/>
<pointSize val="3"/>
</element>
<expression label="F" exp="E + (10, 0, 0)" type="point" />
<element type="point3d" label="F">
<show object="false" label="true" ev="4"/>
<objColor r="68" g="68" b="68" alpha="0"/>
<layer val="2"/>
<labelMode val="0"/>
<coords x="4.6388302635259455" y="-4.014505988264119" z="0" w="1"/>
<pointSize val="3"/>
</element>
<expression label="G" exp="F + (0, 9)" type="point" />
<element type="point3d" label="G">
<show object="false" label="true" ev="4"/>
<objColor r="68" g="68" b="68" alpha="0"/>
<layer val="2"/>
<labelMode val="0"/>
<coords x="4.6388302635259455" y="4.985494011735881" z="0" w="1"/>
<pointSize val="3"/>
</element>
</construction>
</geogebra>