Axial Symmetry and Geometric Folding Exploration
2011-10-14 03:17
This GeoGebra applet demonstrates axial symmetry and geometric folding properties. By constructing polygons, circles, orthogonal lines, and midpoints, it explores the distinct roles of top vertices for lateral folds and bottom vertices for diagonal folds. Integrating concepts like similar triangles, circumcircles, and angles, it prompts users to think about optimizing symmetric folding models, mak
<?xml version="1.0" encoding="utf-8"?>
<geogebra format="4.0" id="80bc7b15-d0ec-4fdc-9d1c-9e0f0bed8f88" xsi:noNamespaceSchemaLocation="http://www.geogebra.org/ggb.xsd" xmlns="" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" >
<gui>
<window width="1132" height="782" />
<perspectives>
<perspective id="tmp">
<panes>
<pane location="" divider="0.21819787985865724" orientation="1" />
</panes>
<views>
<view id="4" toolbar="0 || 2020 , 2021 , 2022 , 66 || 2001 , 2003 , 2002 , 2004 , 2005 || 2040 , 2041 , 2042 , 2044 , 2043" visible="false" inframe="false" stylebar="false" location="1,1" size="200" window="0,0,400,400" />
<view id="1" visible="true" inframe="false" stylebar="false" location="1" size="1124" window="0,0,400,400" />
<view id="2" visible="false" inframe="false" stylebar="false" location="3" size="247" window="0,0,200,400" />
<view id="16" visible="false" inframe="true" stylebar="false" location="1" size="150" window="50,50,500,500" />
<view id="32" visible="false" inframe="true" stylebar="true" location="1" size="150" window="50,50,500,500" />
<view id="64" visible="false" inframe="true" stylebar="false" location="1" size="150" window="50,50,500,500" />
</views>
<toolbar show="true" items="0 39 59 || 1 501 67 , 5 19 , 72 | 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 , 14 66 68 | 25 52 60 61 || 40 41 42 , 27 28 35 , 6" />
<input show="true" cmd="true" top="false" />
</perspective>
</perspectives>
<labelingStyle val="3"/>
<font size="14"/>
<graphicsSettings javaLatexFonts="false"/>
<consProtColumns col0="true" col1="true" col2="false" col3="true" col4="false" col5="true" col6="true" col7="false"/>
<consProtocol useColors="true" addIcons="false" showOnlyBreakpoints="false"/>
</gui>
<euclidianView>
<size width="1124" height="611"/>
<coordSystem xZero="346.11322314049585" yZero="502.60000000000014" scale="53.74999999999999" yscale="53.750000000000014"/>
<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="10"/>
<axis id="0" show="false" label="" unitLabel="" tickStyle="1" showNumbers="true"/>
<axis id="1" show="false" label="" unitLabel="" tickStyle="1" showNumbers="true"/>
</euclidianView>
<kernel>
<continuous val="false"/>
<decimals val="2"/>
<angleUnit val="degree"/>
<algebraStyle val="0"/>
<coordStyle val="0"/>
<angleFromInvTrig val="false"/>
</kernel>
<scripting blocked="false" disabled="false"/>
<construction title="" author="" date="">
<element type="numeric" label="大小">
<value val="5.0"/>
<show object="true" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.1"/>
<layer val="0"/>
<labelOffset x="-24" y="-4"/>
<labelMode val="0"/>
<slider min="1" max="5" absoluteScreenLocation="true" width="100.0" x="717.0" y="263.0" fixed="true" horizontal="true"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<animation step="1" speed="1" type="0" playing="false"/>
</element>
<element type="point" label="A">
<show object="false" label="false"/>
<objColor r="153" g="153" b="255" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="0" playing="false"/>
<coords x="2.1002191043628677" y="2.2251162790697694" z="1.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Circle">
<input a0="A" a1="大小"/>
<output a0="c"/>
</command>
<element type="conic" label="c">
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eigenvectors x0="1.0" y0="0.0" z0="1.0" x1="-0.0" y1="1.0" z1="1.0"/>
<matrix A0="1.0" A1="1.0" A2="-15.63793725828794" A3="0.0" A4="-2.1002191043628677" A5="-2.2251162790697694"/>
<eqnStyle style="specific"/>
</element>
<command name="Point">
<input a0="c"/>
<output a0="B"/>
</command>
<element type="point" label="B">
<show object="false" label="false"/>
<objColor r="125" g="125" b="255" alpha="0.0"/>
<layer val="0"/>
<labelOffset x="-28" y="18"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="0" playing="false"/>
<coords x="-1.4466647421970942" y="-1.2990311325763457" z="1.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Ray">
<input a0="B" a1="A"/>
<output a0="b"/>
</command>
<element type="ray" label="b">
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-3.524147411646115" y="3.546883846559962" z="-0.4907472664200512"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="OrthogonalLine">
<input a0="A" a1="b"/>
<output a0="d"/>
</command>
<element type="line" label="d">
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-3.546883846559962" y="-3.524147411646115" z="15.290870990996648"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
</element>
<command name="Intersect">
<input a0="c" a1="d" a2="2"/>
<output a0="C"/>
</command>
<element type="point" label="C">
<show object="false" label="false"/>
<objColor r="64" g="64" b="64" alpha="0.0"/>
<layer val="0"/>
<labelOffset x="-24" y="15"/>
<labelMode val="0"/>
<coords x="-1.4239283072832478" y="5.772000125629732" z="1.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Segment">
<input a0="B" a1="C"/>
<output a0="e"/>
</command>
<element type="segment" label="e">
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-7.0710312582060775" y="0.02273643491384636" z="-10.199876275423408"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Intersect">
<input a0="c" a1="b" a2="2"/>
<output a0="D"/>
</command>
<element type="point" label="D">
<show object="false" label="false"/>
<objColor r="64" g="64" b="64" alpha="0.0"/>
<layer val="0"/>
<labelOffset x="15" y="5"/>
<labelMode val="0"/>
<coords x="5.64710295092283" y="5.7492636907158845" z="1.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Segment">
<input a0="C" a1="D"/>
<output a0="f"/>
</command>
<element type="segment" label="f">
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="0.022736434913847248" y="7.0710312582060775" z="-40.78161825741671"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Intersect">
<input a0="c" a1="d" a2="1"/>
<output a0="E"/>
</command>
<element type="point" label="E">
<show object="false" label="true"/>
<objColor r="64" g="64" b="64" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="5.624366516008983" y="-1.3217675674901925" z="1.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Segment">
<input a0="D" a1="E"/>
<output a0="g"/>
</command>
<element type="segment" label="g">
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="7.071031258206077" y="-0.02273643491384636" z="-39.80012372457661"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Segment">
<input a0="E" a1="B"/>
<output a0="h"/>
</command>
<element type="segment" label="h">
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-0.022736434913846804" y="-7.0710312582060775" z="-9.218381742583306"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Semicircle">
<input a0="B" a1="C"/>
<output a0="k"/>
</command>
<element type="conicpart" label="k">
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eigenvectors x0="1.0" y0="0.0" z0="1.0" x1="-0.0" y1="1.0" z1="1.0"/>
<matrix A0="1.0" A1="1.0" A2="-5.438060982864535" A3="0.0" A4="1.435296524740171" A5="-2.236484496526693"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Point">
<input a0="k"/>
<output a0="F"/>
</command>
<element type="point" label="F">
<show object="true" label="false"/>
<condition showObject="K ≟ D ∧ R ≟ E ∧ Q ≟ B"/>
<objColor r="0" g="153" b="51" alpha="0.0"/>
<layer val="3"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="0" playing="false"/>
<coords x="-1.423928307283248" y="5.772000125629732" z="1.0"/>
<pointSize val="7"/>
<pointStyle val="0"/>
</element>
<command name="Line">
<input a0="A" a1="h"/>
<output a0="i"/>
</command>
<element type="line" label="i">
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-0.022736434913846804" y="-7.0710312582060775" z="15.781618257416701"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
</element>
<command name="Intersect">
<input a0="i" a1="e"/>
<output a0="G"/>
</command>
<element type="point" label="G">
<show object="false" label="false"/>
<objColor r="64" g="64" b="64" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-71.76482623700858" y="111.82422482633467" z="50.000000000000014"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Segment">
<input a0="F" a1="G"/>
<output a0="j"/>
</command>
<element type="segment" label="j">
<show object="true" label="false"/>
<condition showObject="α > 0"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="3.535515629103039" y="-0.01136821745692318" z="5.099938137711704"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Line">
<input a0="F" a1="i"/>
<output a0="l"/>
</command>
<element type="line" label="l">
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-0.022736434913846804" y="-7.0710312582060775" z="40.78161825741671"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
</element>
<command name="Intersect">
<input a0="i" a1="g"/>
<output a0="H"/>
</command>
<element type="point" label="H">
<show object="false" label="true"/>
<objColor r="64" g="64" b="64" alpha="0.0"/>
<layer val="0"/>
<labelOffset x="-2" y="0"/>
<labelMode val="0"/>
<coords x="281.7867366732954" y="110.68740308064231" z="50.00000000000001"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Line">
<input a0="H" a1="j"/>
<output a0="m"/>
</command>
<element type="line" label="m">
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="176.77578145515199" y="-0.5684108728461591" z="-995.0030931144157"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
</element>
<command name="Intersect">
<input a0="l" a1="m"/>
<output a0="I"/>
</command>
<element type="point" label="I">
<show object="false" label="false"/>
<objColor r="64" g="64" b="64" alpha="0.0"/>
<layer val="0"/>
<labelOffset x="75" y="27"/>
<labelMode val="0"/>
<coords x="7058.878688653543" y="7186.57961339486" z="1250.0000000000007"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Segment">
<input a0="F" a1="I"/>
<output a0="n"/>
</command>
<element type="segment" label="n">
<show object="true" label="false"/>
<condition showObject="α > 0"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="0.022736434913847248" y="7.071031258206079" z="-40.78161825741672"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Segment">
<input a0="I" a1="H"/>
<output a0="p"/>
</command>
<element type="segment" label="p">
<show object="true" label="false"/>
<condition showObject="α > 0"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelOffset x="74" y="30"/>
<labelMode val="0"/>
<coords x="3.5355156291030387" y="-0.011368217456923624" z="-19.900061862288304"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Angle">
<input a0="C" a1="G" a2="F"/>
<output a0="α"/>
</command>
<element type="angle" label="α">
<value val="0.0"/>
<show object="false" label="true"/>
<objColor r="0" g="100" b="0" alpha="0.1"/>
<layer val="0"/>
<labelMode val="1"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<arcSize val="30"/>
<allowReflexAngle val="true"/>
</element>
<command name="Segment">
<input a0="C" a1="G"/>
<output a0="q"/>
</command>
<element type="segment" label="q">
<show object="true" label="false"/>
<condition showObject="α > 0"/>
<objColor r="102" g="102" b="102" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="3.535515629103039" y="-0.011368217456923402" z="5.099938137711705"/>
<lineStyle thickness="5" type="10" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Segment">
<input a0="C" a1="D"/>
<output a0="r"/>
</command>
<element type="segment" label="r">
<show object="true" label="false"/>
<condition showObject="α > 0"/>
<objColor r="102" g="102" b="102" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="0.022736434913847248" y="7.0710312582060775" z="-40.78161825741671"/>
<lineStyle thickness="5" type="10" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Segment">
<input a0="D" a1="H"/>
<output a0="s"/>
</command>
<element type="segment" label="s">
<show object="true" label="false"/>
<condition showObject="α > 0"/>
<objColor r="102" g="102" b="102" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="3.5355156291030387" y="-0.011368217456921847" z="-19.90006186228831"/>
<lineStyle thickness="5" type="10" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Segment">
<input a0="G" a1="B"/>
<output a0="t"/>
</command>
<element type="segment" label="t">
<show object="true" label="false"/>
<condition showObject="α > 0"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="3.5355156291030383" y="-0.011368217456922958" z="5.099938137711703"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Segment">
<input a0="B" a1="E"/>
<output a0="a_1"/>
</command>
<element type="segment" label="a_1">
<show object="true" label="false"/>
<condition showObject="α > 0"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="0.022736434913846804" y="7.0710312582060775" z="9.218381742583306"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Segment">
<input a0="E" a1="H"/>
<output a0="b_1"/>
</command>
<element type="segment" label="b_1">
<show object="false" label="false"/>
<condition showObject="α > 0"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-3.5355156291030383" y="0.011368217456924512" z="19.900061862288304"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="point" label="J">
<show object="false" label="true"/>
<objColor r="0" g="0" b="255" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="0" playing="false"/>
<coords x="1.06" y="6.32" z="1.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="CircumcircleArc">
<input a0="C" a1="J" a2="D"/>
<output a0="c_1"/>
</command>
<element type="conicpart" label="c_1">
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eigenvectors x0="1.0" y0="0.0" z0="1.0" x1="-0.0" y1="1.0" z1="1.0"/>
<matrix A0="1.0" A1="1.0" A2="-89.80574960844277" A3="0.0" A4="-2.0795442058392526" A5="4.204777161773892"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Point">
<input a0="c_1"/>
<output a0="K"/>
</command>
<element type="point" label="K">
<show object="true" label="false"/>
<condition showObject="F ≟ C ∧ Q ≟ B ∧ R ≟ E"/>
<objColor r="0" g="51" b="255" alpha="0.0"/>
<layer val="3"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="0" playing="false"/>
<coords x="5.647102950922828" y="5.749263690715884" z="1.0"/>
<pointSize val="7"/>
<pointStyle val="0"/>
</element>
<command name="Line">
<input a0="A" a1="b_1"/>
<output a0="d_1"/>
</command>
<element type="line" label="d_1">
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-3.5355156291030383" y="0.011368217456924512" z="7.400061862288297"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
</element>
<command name="Intersect">
<input a0="d_1" a1="r"/>
<output a0="L"/>
</command>
<element type="point" label="L">
<show object="false" label="false"/>
<objColor r="64" g="64" b="64" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="52.78968304549482" y="144.01579770432022" z="25.000000000000004"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Segment">
<input a0="L" a1="K"/>
<output a0="e_1"/>
</command>
<element type="segment" label="e_1">
<show object="true" label="false"/>
<condition showObject="β > 0"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelOffset x="-31" y="-74"/>
<labelMode val="0"/>
<coords x="0.011368217456924512" y="3.5355156291030356" z="-20.390809128708337"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Line">
<input a0="K" a1="b_1"/>
<output a0="f_1"/>
</command>
<element type="line" label="f_1">
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-3.5355156291030383" y="0.011368217456924512" z="19.900061862288286"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
</element>
<command name="Line">
<input a0="L" a1="f_1"/>
<output a0="g_1"/>
</command>
<element type="line" label="g_1">
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-88.38789072757596" y="0.28420543642311286" z="185.00154655720743"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
</element>
<command name="Intersect">
<input a0="g_1" a1="a_1"/>
<output a0="M"/>
</command>
<element type="point" label="M">
<show object="false" label="true"/>
<objColor r="64" g="64" b="64" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="1305.531804316215" y="-818.9995937707936" z="625.0000000000001"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Line">
<input a0="M" a1="e_1"/>
<output a0="h_1"/>
</command>
<element type="line" label="h_1">
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="7.105135910577821" y="2209.6972681893976" z="2880.74429455728"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
</element>
<command name="Intersect">
<input a0="f_1" a1="h_1"/>
<output a0="N"/>
</command>
<element type="point" label="N">
<show object="false" label="true"/>
<objColor r="64" g="64" b="64" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="43940.36340632012" y="-10326.309121017137" z="7812.499999999995"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Segment">
<input a0="M" a1="N"/>
<output a0="i_1"/>
</command>
<element type="segment" label="i_1">
<show object="true" label="false"/>
<condition showObject="β > 0"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="0.011368217456924734" y="3.5355156291030343" z="4.609190871291646"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Segment">
<input a0="B" a1="M"/>
<output a0="m_1"/>
</command>
<element type="segment" label="m_1">
<show object="true" label="false"/>
<condition showObject="β > 0"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="0.011368217456923846" y="3.535515629103038" z="4.609190871291652"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Segment">
<input a0="E" a1="M"/>
<output a0="q_1"/>
</command>
<element type="segment" label="q_1">
<show object="true" label="false"/>
<condition showObject="β > 0"/>
<objColor r="102" g="102" b="102" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-0.011368217456922958" y="-3.5355156291030396" z="-4.6091908712916565"/>
<lineStyle thickness="5" type="10" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Midpoint">
<input a0="K" a1="N"/>
<output a0="O"/>
</command>
<element type="point" label="O">
<show object="false" label="false"/>
<objColor r="64" g="64" b="64" alpha="0.0"/>
<layer val="2"/>
<labelMode val="0"/>
<coords x="5.6357347334659025" y="2.2137480616128444" z="1.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Segment">
<input a0="K" a1="O"/>
<output a0="j_1"/>
</command>
<element type="segment" label="j_1">
<show object="true" label="false"/>
<condition showObject="β > 0"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="2"/>
<labelMode val="0"/>
<coords x="3.535515629103039" y="-0.0113682174569254" z="-19.900061862288286"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Angle">
<input a0="D" a1="L" a2="K"/>
<output a0="β"/>
</command>
<element type="angle" label="β">
<value val="0.0"/>
<show object="false" label="true"/>
<objColor r="0" g="100" b="0" alpha="0.1"/>
<layer val="2"/>
<labelMode val="1"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<arcSize val="30"/>
<allowReflexAngle val="true"/>
</element>
<command name="Segment">
<input a0="O" a1="N"/>
<output a0="k_1"/>
</command>
<element type="segment" label="k_1">
<show object="true" label="false"/>
<condition showObject="β > 0"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="2"/>
<labelOffset x="76" y="26"/>
<labelMode val="0"/>
<coords x="3.5355156291030387" y="-0.011368217456924512" z="-19.900061862288286"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Segment">
<input a0="D" a1="E"/>
<output a0="l_1"/>
</command>
<element type="segment" label="l_1">
<show object="true" label="false"/>
<condition showObject="β > 0"/>
<objColor r="102" g="102" b="102" alpha="0.0"/>
<layer val="2"/>
<labelOffset x="49" y="31"/>
<labelMode val="0"/>
<coords x="7.071031258206077" y="-0.02273643491384636" z="-39.80012372457661"/>
<lineStyle thickness="5" type="10" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Segment">
<input a0="L" a1="D"/>
<output a0="n_1"/>
</command>
<element type="segment" label="n_1">
<show object="true" label="false"/>
<condition showObject="β > 0"/>
<objColor r="102" g="102" b="102" alpha="0.0"/>
<layer val="2"/>
<labelOffset x="62" y="-50"/>
<labelMode val="0"/>
<coords x="0.011368217456923624" y="3.5355156291030374" z="-20.390809128708348"/>
<lineStyle thickness="5" type="10" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Segment">
<input a0="F" a1="L"/>
<output a0="p_1"/>
</command>
<element type="segment" label="p_1">
<show object="true" label="false"/>
<condition showObject="β > 0"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="2"/>
<labelOffset x="-74" y="-30"/>
<labelMode val="0"/>
<coords x="0.011368217456923624" y="3.53551562910304" z="-20.390809128708362"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Segment">
<input a0="F" a1="B"/>
<output a0="r_1"/>
</command>
<element type="segment" label="r_1">
<show object="true" label="false"/>
<condition showObject="β > 0"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="2"/>
<labelMode val="0"/>
<coords x="7.0710312582060775" y="-0.022736434913846137" z="10.199876275423408"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Segment">
<input a0="F" a1="N"/>
<output a0="s_1"/>
</command>
<element type="segment" label="s_1">
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="2"/>
<labelMode val="0"/>
<coords x="7.093767693119926" y="7.048294823292226" z="-30.581741981993268"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Segment">
<input a0="B" a1="K"/>
<output a0="t_1"/>
</command>
<element type="segment" label="t_1">
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="2"/>
<labelMode val="0"/>
<coords x="-7.048294823292229" y="7.093767693119922" z="-0.9814945328401024"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Segment">
<input a0="C" a1="E"/>
<output a0="對稱軸_3"/>
</command>
<element type="segment" label="對稱軸_3">
<show object="true" label="true"/>
<condition showObject="o"/>
<objColor r="255" g="0" b="51" alpha="0.0"/>
<layer val="2"/>
<labelOffset x="-73" y="-32"/>
<labelMode val="3"/>
<fixed val="true"/>
<coords x="7.093767693119924" y="7.048294823292231" z="-30.5817419819933"/>
<lineStyle thickness="7" type="10" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
<caption val="對稱軸"/>
</element>
<command name="Segment">
<input a0="B" a1="D"/>
<output a0="對稱軸_4"/>
</command>
<element type="segment" label="對稱軸_4">
<show object="true" label="true"/>
<condition showObject="u"/>
<objColor r="255" g="102" b="0" alpha="0.0"/>
<layer val="2"/>
<labelOffset x="58" y="-55"/>
<labelMode val="3"/>
<fixed val="true"/>
<coords x="-7.04829482329223" y="7.093767693119924" z="-0.9814945328401015"/>
<lineStyle thickness="7" type="10" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
<caption val="對稱軸"/>
</element>
<element type="boolean" label="o">
<value val="false"/>
<show object="true" label="true"/>
<objColor r="255" g="0" b="51" alpha="0.0"/>
<layer val="3"/>
<labelOffset x="721" y="412"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
<caption val="對稱軸3"/>
</element>
<element type="boolean" label="u">
<value val="false"/>
<show object="true" label="true"/>
<objColor r="255" g="102" b="0" alpha="0.0"/>
<layer val="3"/>
<labelOffset x="721" y="461"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
<caption val="對稱軸4"/>
</element>
<element type="point" label="P">
<show object="false" label="true"/>
<objColor r="0" g="0" b="255" alpha="0.0"/>
<layer val="3"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="0" playing="false"/>
<coords x="0.56" y="3.5" z="1.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Segment">
<input a0="B" a1="D"/>
<output a0="b_2"/>
</command>
<element type="segment" label="b_2">
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="3"/>
<labelMode val="0"/>
<coords x="-7.04829482329223" y="7.093767693119924" z="-0.9814945328401015"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Point">
<input a0="b_2"/>
<output a0="Q"/>
</command>
<element type="point" label="Q">
<show object="true" label="false"/>
<condition showObject="K ≟ D ∧ R ≟ E ∧ F ≟ C"/>
<objColor r="255" g="0" b="51" alpha="0.0"/>
<layer val="3"/>
<labelOffset x="-32" y="11"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="0" playing="false"/>
<coords x="-1.4466647421970942" y="-1.2990311325763457" z="1.0"/>
<pointSize val="7"/>
<pointStyle val="0"/>
</element>
<command name="Segment">
<input a0="C" a1="Q"/>
<output a0="c_2"/>
</command>
<element type="segment" label="c_2">
<show object="true" label="false"/>
<condition showObject="γ > 0"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="3"/>
<labelMode val="0"/>
<coords x="7.0710312582060775" y="-0.02273643491384636" z="10.199876275423408"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Segment">
<input a0="Q" a1="E"/>
<output a0="d_2"/>
</command>
<element type="segment" label="d_2">
<show object="true" label="false"/>
<condition showObject="γ > 0"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="3"/>
<labelMode val="0"/>
<coords x="0.022736434913846804" y="7.0710312582060775" z="9.218381742583306"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Angle">
<input a0="Q" a1="N" a2="B"/>
<output a0="γ"/>
</command>
<element type="angle" label="γ">
<value val="0.0"/>
<show object="false" label="false"/>
<objColor r="0" g="100" b="0" alpha="0.1"/>
<layer val="3"/>
<labelMode val="1"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<arcSize val="30"/>
<allowReflexAngle val="true"/>
</element>
<command name="Segment">
<input a0="F" a1="B"/>
<output a0="e_2"/>
</command>
<element type="segment" label="e_2">
<show object="true" label="false"/>
<condition showObject="γ > 0"/>
<objColor r="102" g="102" b="102" alpha="0.0"/>
<layer val="3"/>
<labelMode val="0"/>
<coords x="7.0710312582060775" y="-0.022736434913846137" z="10.199876275423408"/>
<lineStyle thickness="5" type="10" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Segment">
<input a0="B" a1="N"/>
<output a0="g_2"/>
</command>
<element type="segment" label="g_2">
<show object="true" label="false"/>
<condition showObject="γ > 0"/>
<objColor r="102" g="102" b="102" alpha="0.0"/>
<layer val="3"/>
<labelMode val="0"/>
<coords x="0.02273643491384858" y="7.071031258206072" z="9.2183817425833"/>
<lineStyle thickness="5" type="10" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Point">
<input a0="對稱軸_3"/>
<output a0="R"/>
</command>
<element type="point" label="R">
<show object="true" label="false"/>
<condition showObject="K ≟ D ∧ F ≟ C ∧ Q ≟ B"/>
<objColor r="255" g="102" b="0" alpha="0.0"/>
<layer val="3"/>
<labelOffset x="8" y="4"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="0" playing="false"/>
<coords x="5.624366516008983" y="-1.321767567490192" z="1.0"/>
<pointSize val="7"/>
<pointStyle val="0"/>
</element>
<command name="Segment">
<input a0="R" a1="D"/>
<output a0="h_2"/>
</command>
<element type="segment" label="h_2">
<show object="true" label="false"/>
<condition showObject="δ > 0"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="3"/>
<labelMode val="0"/>
<coords x="-7.071031258206077" y="0.02273643491384636" z="39.8001237245766"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Segment">
<input a0="R" a1="B"/>
<output a0="i_2"/>
</command>
<element type="segment" label="i_2">
<show object="true" label="false"/>
<condition showObject="δ > 0"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="3"/>
<labelMode val="0"/>
<coords x="-0.02273643491384636" y="-7.0710312582060775" z="-9.218381742583304"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Angle">
<input a0="R" a1="D" a2="H"/>
<output a0="δ"/>
</command>
<element type="angle" label="δ">
<value val="0.0"/>
<show object="false" label="true"/>
<objColor r="0" g="100" b="0" alpha="0.1"/>
<layer val="3"/>
<labelMode val="1"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<arcSize val="30"/>
<allowReflexAngle val="true"/>
</element>
<command name="Segment">
<input a0="Q" a1="N"/>
<output a0="j_2"/>
</command>
<element type="segment" label="j_2">
<show object="true" label="false"/>
<condition showObject="δ > 0"/>
<objColor r="102" g="102" b="102" alpha="0.0"/>
<layer val="3"/>
<labelMode val="0"/>
<coords x="0.02273643491384858" y="7.071031258206072" z="9.2183817425833"/>
<lineStyle thickness="5" type="10" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Segment">
<input a0="K" a1="N"/>
<output a0="k_2"/>
</command>
<element type="segment" label="k_2">
<show object="true" label="false"/>
<condition showObject="δ > 0"/>
<objColor r="102" g="102" b="102" alpha="0.0"/>
<layer val="3"/>
<labelOffset x="76" y="26"/>
<labelMode val="0"/>
<coords x="7.071031258206078" y="-0.022736434913849912" z="-39.80012372457658"/>
<lineStyle thickness="5" type="10" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Segment">
<input a0="G" a1="O"/>
<output a0="對稱軸_1"/>
</command>
<element type="segment" label="對稱軸_1">
<show object="true" label="true"/>
<condition showObject="v"/>
<objColor r="0" g="153" b="51" alpha="0.0"/>
<layer val="3"/>
<labelOffset x="76" y="7"/>
<labelMode val="3"/>
<fixed val="true"/>
<coords x="0.022736434913848136" y="7.071031258206074" z="-15.781618257416689"/>
<lineStyle thickness="7" type="10" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
<caption val="對稱軸"/>
</element>
<element type="boolean" label="v">
<value val="false"/>
<show object="true" label="true"/>
<objColor r="0" g="153" b="51" alpha="0.0"/>
<layer val="3"/>
<labelOffset x="722" y="317"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
<caption val="對稱軸1"/>
</element>
<command name="Segment">
<input a0="L" a1="M"/>
<output a0="對稱軸_2"/>
</command>
<element type="segment" label="對稱軸_2">
<show object="true" label="true"/>
<condition showObject="w"/>
<objColor r="0" g="51" b="255" alpha="0.0"/>
<layer val="3"/>
<labelOffset x="24" y="76"/>
<labelMode val="3"/>
<fixed val="true"/>
<coords x="7.0710312582060775" y="-0.02273643491384858" z="-14.800123724576597"/>
<lineStyle thickness="7" type="10" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
<caption val="對稱軸"/>
</element>
<element type="boolean" label="w">
<value val="false"/>
<show object="true" label="true"/>
<objColor r="0" g="51" b="255" alpha="0.0"/>
<layer val="3"/>
<labelOffset x="721" y="365"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
<caption val="對稱軸2"/>
</element>
<command name="Segment">
<input a0="Q" a1="F"/>
<output a0="n_2"/>
</command>
<element type="segment" label="n_2">
<show object="true" label="false"/>
<condition showObject="δ > 0"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="3"/>
<labelMode val="0"/>
<coords x="-7.0710312582060775" y="0.022736434913846137" z="-10.199876275423408"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Segment">
<input a0="F" a1="K"/>
<output a0="p_2"/>
</command>
<element type="segment" label="p_2">
<show object="true" label="false"/>
<condition showObject="δ > 0"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="3"/>
<labelMode val="0"/>
<coords x="0.022736434913848136" y="7.071031258206076" z="-40.7816182574167"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Segment">
<input a0="F" a1="K"/>
<output a0="q_2"/>
</command>
<element type="segment" label="q_2">
<show object="true" label="false"/>
<condition showObject="γ > 0"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="3"/>
<labelMode val="0"/>
<coords x="0.022736434913848136" y="7.071031258206076" z="-40.7816182574167"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Segment">
<input a0="K" a1="R"/>
<output a0="r_2"/>
</command>
<element type="segment" label="r_2">
<show object="true" label="false"/>
<condition showObject="γ > 0"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="3"/>
<labelOffset x="-12" y="4"/>
<labelMode val="0"/>
<coords x="7.071031258206076" y="-0.022736434913844583" z="-39.80012372457659"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Polygon">
<input a0="K" a1="N" a2="M" a3="B" a4="C" a5="L"/>
<output a0="poly2" a1="k_3" a2="n_3" a3="m_3" a4="b_3" a5="c_3" a6="l_3"/>
</command>
<element type="polygon" label="poly2">
<lineStyle thickness="0" type="0" typeHidden="1"/>
<show object="true" label="false"/>
<condition showObject="β > 0"/>
<objColor r="153" g="51" b="0" alpha="0.1"/>
<layer val="3"/>
<labelOffset x="69" y="40"/>
<labelMode val="0"/>
</element>
<element type="segment" label="k_3">
<show object="true" label="true"/>
<objColor r="153" g="51" b="0" alpha="0.0"/>
<layer val="3"/>
<labelMode val="0"/>
<coords x="7.071031258206078" y="-0.022736434913849912" z="-39.80012372457658"/>
<lineStyle thickness="0" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment" label="n_3">
<show object="true" label="true"/>
<objColor r="153" g="51" b="0" alpha="0.0"/>
<layer val="3"/>
<labelMode val="0"/>
<coords x="-0.011368217456924734" y="-3.5355156291030343" z="-4.609190871291646"/>
<lineStyle thickness="0" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment" label="m_3">
<show object="true" label="true"/>
<objColor r="153" g="51" b="0" alpha="0.0"/>
<layer val="3"/>
<labelMode val="0"/>
<coords x="-0.011368217456923846" y="-3.535515629103038" z="-4.609190871291652"/>
<lineStyle thickness="0" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment" label="b_3">
<show object="true" label="true"/>
<objColor r="153" g="51" b="0" alpha="0.0"/>
<layer val="3"/>
<labelMode val="0"/>
<coords x="-7.0710312582060775" y="0.02273643491384636" z="-10.199876275423408"/>
<lineStyle thickness="0" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment" label="c_3">
<show object="true" label="true"/>
<objColor r="153" g="51" b="0" alpha="0.0"/>
<layer val="3"/>
<labelMode val="0"/>
<coords x="0.011368217456923624" y="3.53551562910304" z="-20.390809128708362"/>
<lineStyle thickness="0" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment" label="l_3">
<show object="true" label="true"/>
<objColor r="153" g="51" b="0" alpha="0.0"/>
<layer val="3"/>
<labelMode val="0"/>
<coords x="0.011368217456924512" y="3.5355156291030356" z="-20.390809128708337"/>
<lineStyle thickness="0" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Polygon">
<input a0="L" a1="M" a2="N" a3="K"/>
<output a0="poly3" a1="l_4" a2="m_4" a3="n_4" a4="k_4"/>
</command>
<element type="polygon" label="poly3">
<lineStyle thickness="0" type="0" typeHidden="1"/>
<show object="true" label="false"/>
<condition showObject="β > 0"/>
<objColor r="153" g="51" b="0" alpha="0.1"/>
<layer val="3"/>
<labelMode val="0"/>
</element>
<element type="segment" label="l_4">
<show object="true" label="true"/>
<objColor r="153" g="51" b="0" alpha="0.0"/>
<layer val="3"/>
<labelMode val="0"/>
<coords x="7.0710312582060775" y="-0.02273643491384858" z="-14.800123724576597"/>
<lineStyle thickness="0" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment" label="m_4">
<show object="true" label="true"/>
<objColor r="153" g="51" b="0" alpha="0.0"/>
<layer val="3"/>
<labelMode val="0"/>
<coords x="0.011368217456924734" y="3.5355156291030343" z="4.609190871291646"/>
<lineStyle thickness="0" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment" label="n_4">
<show object="true" label="true"/>
<objColor r="153" g="51" b="0" alpha="0.0"/>
<layer val="3"/>
<labelMode val="0"/>
<coords x="-7.071031258206078" y="0.022736434913849912" z="39.80012372457658"/>
<lineStyle thickness="0" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment" label="k_4">
<show object="true" label="true"/>
<objColor r="153" g="51" b="0" alpha="0.0"/>
<layer val="3"/>
<labelMode val="0"/>
<coords x="-0.011368217456924512" y="-3.5355156291030356" z="20.390809128708337"/>
<lineStyle thickness="0" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Polygon">
<input a0="F" a1="I" a2="O" a3="N" a4="B" a5="G"/>
<output a0="poly1" a1="f_3" a2="i_3" a3="o_1" a4="n_5" a5="b_4" a6="g_3"/>
</command>
<element type="polygon" label="poly1">
<lineStyle thickness="0" type="0" typeHidden="1"/>
<show object="true" label="false"/>
<condition showObject="α > 0"/>
<objColor r="153" g="51" b="0" alpha="0.1"/>
<layer val="3"/>
<labelMode val="0"/>
</element>
<element type="segment" label="f_3">
<show object="true" label="true"/>
<objColor r="153" g="51" b="0" alpha="0.0"/>
<layer val="3"/>
<labelMode val="0"/>
<coords x="0.022736434913847248" y="7.071031258206079" z="-40.78161825741672"/>
<lineStyle thickness="0" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment" label="i_3">
<show object="true" label="true"/>
<objColor r="153" g="51" b="0" alpha="0.0"/>
<layer val="3"/>
<labelMode val="0"/>
<coords x="3.53551562910304" y="-0.011368217456928953" z="-19.900061862288283"/>
<lineStyle thickness="0" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment" label="o_1">
<show object="true" label="true"/>
<objColor r="153" g="51" b="0" alpha="0.0"/>
<layer val="3"/>
<labelMode val="0"/>
<coords x="3.5355156291030387" y="-0.011368217456924512" z="-19.900061862288286"/>
<lineStyle thickness="0" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment" label="n_5">
<show object="true" label="true"/>
<objColor r="153" g="51" b="0" alpha="0.0"/>
<layer val="3"/>
<labelMode val="0"/>
<coords x="-0.02273643491384858" y="-7.071031258206072" z="-9.2183817425833"/>
<lineStyle thickness="0" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment" label="b_4">
<show object="true" label="true"/>
<objColor r="153" g="51" b="0" alpha="0.0"/>
<layer val="3"/>
<labelMode val="0"/>
<coords x="-3.5355156291030383" y="0.011368217456922958" z="-5.099938137711703"/>
<lineStyle thickness="0" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment" label="g_3">
<show object="true" label="true"/>
<objColor r="153" g="51" b="0" alpha="0.0"/>
<layer val="3"/>
<labelMode val="0"/>
<coords x="-3.535515629103039" y="0.01136821745692318" z="-5.099938137711704"/>
<lineStyle thickness="0" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Polygon">
<input a0="F" a1="G" a2="O" a3="I"/>
<output a0="poly4" a1="f_4" a2="g_4" a3="o_2" a4="i_4"/>
</command>
<element type="polygon" label="poly4">
<lineStyle thickness="0" type="0" typeHidden="1"/>
<show object="true" label="false"/>
<condition showObject="α > 0"/>
<objColor r="153" g="51" b="0" alpha="0.1"/>
<layer val="3"/>
<labelMode val="0"/>
</element>
<element type="segment" label="f_4">
<show object="true" label="true"/>
<objColor r="153" g="51" b="0" alpha="0.0"/>
<layer val="3"/>
<labelMode val="0"/>
<coords x="3.535515629103039" y="-0.01136821745692318" z="5.099938137711704"/>
<lineStyle thickness="0" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment" label="g_4">
<show object="true" label="true"/>
<objColor r="153" g="51" b="0" alpha="0.0"/>
<layer val="3"/>
<labelMode val="0"/>
<coords x="0.022736434913848136" y="7.071031258206074" z="-15.781618257416689"/>
<lineStyle thickness="0" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment" label="o_2">
<show object="true" label="true"/>
<objColor r="153" g="51" b="0" alpha="0.0"/>
<layer val="3"/>
<labelMode val="0"/>
<coords x="-3.53551562910304" y="0.011368217456928953" z="19.900061862288283"/>
<lineStyle thickness="0" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment" label="i_4">
<show object="true" label="true"/>
<objColor r="153" g="51" b="0" alpha="0.0"/>
<layer val="3"/>
<labelMode val="0"/>
<coords x="-0.022736434913847248" y="-7.071031258206079" z="40.78161825741672"/>
<lineStyle thickness="0" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Polygon">
<input a0="C" a1="D" a2="R" a3="Q"/>
<output a0="poly5" a1="c_4" a2="d_3" a3="r_3" a4="q_3"/>
</command>
<element type="polygon" label="poly5">
<lineStyle thickness="0" type="0" typeHidden="1"/>
<show object="true" label="false"/>
<condition showObject="γ > 0"/>
<objColor r="153" g="51" b="0" alpha="0.1"/>
<layer val="3"/>
<labelMode val="0"/>
</element>
<element type="segment" label="c_4">
<show object="true" label="true"/>
<objColor r="153" g="51" b="0" alpha="0.0"/>
<layer val="3"/>
<labelMode val="0"/>
<coords x="0.022736434913847248" y="7.0710312582060775" z="-40.78161825741671"/>
<lineStyle thickness="0" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment" label="d_3">
<show object="true" label="true"/>
<objColor r="153" g="51" b="0" alpha="0.0"/>
<layer val="3"/>
<labelMode val="0"/>
<coords x="7.071031258206077" y="-0.02273643491384636" z="-39.8001237245766"/>
<lineStyle thickness="0" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment" label="r_3">
<show object="true" label="true"/>
<objColor r="153" g="51" b="0" alpha="0.0"/>
<layer val="3"/>
<labelMode val="0"/>
<coords x="-0.02273643491384636" y="-7.0710312582060775" z="-9.218381742583304"/>
<lineStyle thickness="0" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment" label="q_3">
<show object="true" label="true"/>
<objColor r="153" g="51" b="0" alpha="0.0"/>
<layer val="3"/>
<labelMode val="0"/>
<coords x="-7.0710312582060775" y="0.02273643491384636" z="-10.199876275423408"/>
<lineStyle thickness="0" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Polygon">
<input a0="C" a1="Q" a2="R"/>
<output a0="poly6" a1="r_4" a2="c_5" a3="q_4"/>
</command>
<element type="polygon" label="poly6">
<lineStyle thickness="0" type="0" typeHidden="1"/>
<show object="true" label="false"/>
<condition showObject="γ > 0"/>
<objColor r="153" g="51" b="0" alpha="0.1"/>
<layer val="3"/>
<labelMode val="0"/>
</element>
<element type="segment" label="r_4">
<show object="true" label="true"/>
<objColor r="153" g="51" b="0" alpha="0.0"/>
<layer val="3"/>
<labelMode val="0"/>
<coords x="7.0710312582060775" y="-0.02273643491384636" z="10.199876275423408"/>
<lineStyle thickness="0" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment" label="c_5">
<show object="true" label="true"/>
<objColor r="153" g="51" b="0" alpha="0.0"/>
<layer val="3"/>
<labelMode val="0"/>
<coords x="0.02273643491384636" y="7.0710312582060775" z="9.218381742583304"/>
<lineStyle thickness="0" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment" label="q_4">
<show object="true" label="true"/>
<objColor r="153" g="51" b="0" alpha="0.0"/>
<layer val="3"/>
<labelMode val="0"/>
<coords x="-7.093767693119924" y="-7.048294823292231" z="30.5817419819933"/>
<lineStyle thickness="0" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Polygon">
<input a0="L" a1="C" a2="B" a3="M"/>
<output a0="poly7" a1="l_5" a2="c_6" a3="b_5" a4="m_5"/>
</command>
<element type="polygon" label="poly7">
<lineStyle thickness="0" type="0" typeHidden="1"/>
<show object="true" label="false"/>
<condition showObject="β > 0"/>
<objColor r="153" g="51" b="0" alpha="0.1"/>
<layer val="3"/>
<labelMode val="0"/>
</element>
<element type="segment" label="l_5">
<show object="true" label="true"/>
<objColor r="153" g="51" b="0" alpha="0.0"/>
<layer val="3"/>
<labelMode val="0"/>
<coords x="-0.011368217456923624" y="-3.53551562910304" z="20.390809128708362"/>
<lineStyle thickness="0" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment" label="c_6">
<show object="true" label="true"/>
<objColor r="153" g="51" b="0" alpha="0.0"/>
<layer val="3"/>
<labelMode val="0"/>
<coords x="7.0710312582060775" y="-0.02273643491384636" z="10.199876275423408"/>
<lineStyle thickness="0" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment" label="b_5">
<show object="true" label="true"/>
<objColor r="153" g="51" b="0" alpha="0.0"/>
<layer val="3"/>
<labelMode val="0"/>
<coords x="0.011368217456923846" y="3.535515629103038" z="4.609190871291652"/>
<lineStyle thickness="0" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment" label="m_5">
<show object="true" label="true"/>
<objColor r="153" g="51" b="0" alpha="0.0"/>
<layer val="3"/>
<labelMode val="0"/>
<coords x="-7.0710312582060775" y="0.02273643491384858" z="14.800123724576597"/>
<lineStyle thickness="0" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Polygon">
<input a0="G" a1="O" a2="N" a3="B"/>
<output a0="poly8" a1="g_5" a2="o_3" a3="n_6" a4="b_6"/>
</command>
<element type="polygon" label="poly8">
<lineStyle thickness="0" type="0" typeHidden="1"/>
<show object="true" label="false"/>
<condition showObject="α > 0"/>
<objColor r="153" g="51" b="0" alpha="0.1"/>
<layer val="3"/>
<labelMode val="0"/>
</element>
<element type="segment" label="g_5">
<show object="true" label="true"/>
<objColor r="153" g="51" b="0" alpha="0.0"/>
<layer val="3"/>
<labelMode val="0"/>
<coords x="0.022736434913848136" y="7.071031258206074" z="-15.781618257416689"/>
<lineStyle thickness="0" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment" label="o_3">
<show object="true" label="true"/>
<objColor r="153" g="51" b="0" alpha="0.0"/>
<layer val="3"/>
<labelMode val="0"/>
<coords x="3.5355156291030387" y="-0.011368217456924512" z="-19.900061862288286"/>
<lineStyle thickness="0" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment" label="n_6">
<show object="true" label="true"/>
<objColor r="153" g="51" b="0" alpha="0.0"/>
<layer val="3"/>
<labelMode val="0"/>
<coords x="-0.02273643491384858" y="-7.071031258206072" z="-9.2183817425833"/>
<lineStyle thickness="0" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment" label="b_6">
<show object="true" label="true"/>
<objColor r="153" g="51" b="0" alpha="0.0"/>
<layer val="3"/>
<labelMode val="0"/>
<coords x="-3.5355156291030383" y="0.011368217456922958" z="-5.099938137711703"/>
<lineStyle thickness="0" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Polygon">
<input a0="B" a1="C" a2="D"/>
<output a0="poly11" a1="d_5" a2="b_8" a3="c_8"/>
</command>
<element type="polygon" label="poly11">
<lineStyle thickness="0" type="0" typeHidden="1"/>
<show object="true" label="false"/>
<condition showObject="δ > 0"/>
<objColor r="153" g="51" b="0" alpha="0.1"/>
<layer val="3"/>
<labelMode val="0"/>
</element>
<element type="segment" label="d_5">
<show object="true" label="true"/>
<objColor r="153" g="51" b="0" alpha="0.0"/>
<layer val="3"/>
<labelMode val="0"/>
<coords x="-7.0710312582060775" y="0.02273643491384636" z="-10.199876275423408"/>
<lineStyle thickness="0" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment" label="b_8">
<show object="true" label="true"/>
<objColor r="153" g="51" b="0" alpha="0.0"/>
<layer val="3"/>
<labelMode val="0"/>
<coords x="0.022736434913847248" y="7.0710312582060775" z="-40.78161825741671"/>
<lineStyle thickness="0" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment" label="c_8">
<show object="true" label="true"/>
<objColor r="153" g="51" b="0" alpha="0.0"/>
<layer val="3"/>
<labelMode val="0"/>
<coords x="7.04829482329223" y="-7.093767693119924" z="0.9814945328401015"/>
<lineStyle thickness="0" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Polygon">
<input a0="F" a1="I" a2="R"/>
<output a0="poly10" a1="r_6" a2="f_5" a3="i_5"/>
</command>
<element type="polygon" label="poly10">
<lineStyle thickness="0" type="0" typeHidden="1"/>
<show object="true" label="false"/>
<condition showObject="γ > 0"/>
<objColor r="153" g="51" b="0" alpha="0.1"/>
<layer val="3"/>
<labelMode val="0"/>
</element>
<element type="segment" label="r_6">
<show object="true" label="true"/>
<objColor r="153" g="51" b="0" alpha="0.0"/>
<layer val="3"/>
<labelMode val="0"/>
<coords x="0.022736434913847248" y="7.071031258206079" z="-40.78161825741672"/>
<lineStyle thickness="0" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment" label="f_5">
<show object="true" label="true"/>
<objColor r="153" g="51" b="0" alpha="0.0"/>
<layer val="3"/>
<labelMode val="0"/>
<coords x="7.071031258206077" y="-0.022736434913848136" z="-39.80012372457661"/>
<lineStyle thickness="0" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment" label="i_5">
<show object="true" label="true"/>
<objColor r="153" g="51" b="0" alpha="0.0"/>
<layer val="3"/>
<labelMode val="0"/>
<coords x="-7.093767693119924" y="-7.048294823292231" z="30.5817419819933"/>
<lineStyle thickness="0" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Polygon">
<input a0="R" a1="B" a2="D"/>
<output a0="poly9" a1="d_4" a2="r_5" a3="b_7"/>
</command>
<element type="polygon" label="poly9">
<lineStyle thickness="0" type="0" typeHidden="1"/>
<show object="true" label="false"/>
<condition showObject="δ > 0"/>
<objColor r="153" g="51" b="0" alpha="0.1"/>
<layer val="3"/>
<labelOffset x="80" y="-3"/>
<labelMode val="0"/>
</element>
<element type="segment" label="d_4">
<show object="true" label="true"/>
<objColor r="153" g="51" b="0" alpha="0.0"/>
<layer val="3"/>
<labelMode val="0"/>
<coords x="-0.02273643491384636" y="-7.0710312582060775" z="-9.218381742583304"/>
<lineStyle thickness="0" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment" label="r_5">
<show object="true" label="true"/>
<objColor r="153" g="51" b="0" alpha="0.0"/>
<layer val="3"/>
<labelMode val="0"/>
<coords x="-7.04829482329223" y="7.093767693119924" z="-0.9814945328401015"/>
<lineStyle thickness="0" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment" label="b_7">
<show object="true" label="true"/>
<objColor r="153" g="51" b="0" alpha="0.0"/>
<layer val="3"/>
<labelMode val="0"/>
<coords x="7.071031258206077" y="-0.02273643491384636" z="-39.8001237245766"/>
<lineStyle thickness="0" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Polygon">
<input a0="C" a1="D" a2="E" a3="B"/>
<output a0="poly12" a1="c_7" a2="d_6" a3="e_3" a4="b_9"/>
</command>
<element type="polygon" label="poly12">
<lineStyle thickness="0" type="0" typeHidden="1"/>
<show object="true" label="false"/>
<objColor r="255" g="102" b="102" alpha="0.1"/>
<layer val="0"/>
<labelMode val="0"/>
</element>
<element type="segment" label="c_7">
<show object="true" label="false"/>
<condition showObject="F ≟ C ∧ K ≟ D"/>
<objColor r="102" g="102" b="102" alpha="0.0"/>
<layer val="3"/>
<labelMode val="0"/>
<coords x="0.022736434913847248" y="7.0710312582060775" z="-40.78161825741671"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment" label="d_6">
<show object="true" label="false"/>
<condition showObject="K ≟ D ∧ R ≟ E"/>
<objColor r="102" g="102" b="102" alpha="0.0"/>
<layer val="3"/>
<labelOffset x="-4" y="-50"/>
<labelMode val="0"/>
<coords x="7.071031258206077" y="-0.02273643491384636" z="-39.80012372457661"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment" label="e_3">
<show object="true" label="false"/>
<condition showObject="R ≟ E ∧ Q ≟ B"/>
<objColor r="102" g="102" b="102" alpha="0.0"/>
<layer val="3"/>
<labelMode val="0"/>
<coords x="-0.022736434913846804" y="-7.0710312582060775" z="-9.218381742583306"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment" label="b_9">
<show object="true" label="false"/>
<condition showObject="Q ≟ B ∧ F ≟ C"/>
<objColor r="102" g="102" b="102" alpha="0.0"/>
<layer val="3"/>
<labelMode val="0"/>
<coords x="-7.0710312582060775" y="0.02273643491384636" z="-10.199876275423408"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<expression label="text1" exp=""試移動一顏色圓點到另一顏色圓點,看看會怎樣。 然後根據你移動圓點的顏色,按旁邊「對稱軸」的方格,看看會出現什麼。""/>
<element type="text" label="text1">
<show object="true" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="3"/>
<labelMode val="0"/>
<fixed val="true"/>
<font serif="false" size="6" style="1"/>
<startPoint x="-1.6027906976744197" y="6.913488372093026" z="1.0"/>
</element>
<element type="image" label="pic1">
<file name="fa45c779594bbc7711b8cecedb688247\2.jpg"/>
<inBackground val="false"/>
<startPoint number="0" x="-5.360246011916203" y="5.294883720930234" z="1.0"/>
<show object="true" label="true"/>
<objColor r="0" g="0" b="0" alpha="1.0"/>
<layer val="3"/>
<labelMode val="0"/>
<fixed val="true"/>
</element>
<expression label="text2" exp=""MTH 2101, Lo L.C., HKIEd.""/>
<element type="text" label="text2">
<show object="true" label="false"/>
<objColor r="102" g="102" b="102" alpha="0.0"/>
<layer val="3"/>
<labelMode val="0"/>
<fixed val="true"/>
<startPoint x="7.737428406688444" y="-1.0679069767441833" z="1.0"/>
</element>
</construction>
</geogebra>