<?xml version="1.0" encoding="utf-8"?>
<geogebra format="5.0" version="5.0.553.0" app="classic" platform="d" id="9ee4a4fe-1888-4941-8320-a9fae39b9fa9" xsi:noNamespaceSchemaLocation="http://www.geogebra.org/ggb.xsd" xmlns="" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" >
<gui>
<window width="1920" height="1040" />
<perspectives>
<perspective id="tmp">
<panes>
<pane location="" divider="0.5651041666666666" orientation="1" />
</panes>
<views>
<view id="4097" visible="false" inframe="true" stylebar="true" location="1,1,1,1" size="400" window="25,238,1870,563" />
<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="2" visible="false" inframe="false" stylebar="true" location="3,3" size="352" 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="16" visible="false" inframe="false" stylebar="false" location="1,1" size="160" window="50,50,500,500" />
<view id="1" visible="true" inframe="false" stylebar="true" location="1" size="803" window="100,100,600,400" />
<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="70" toolbar="0 || 2020 || 2021 || 2022" visible="false" inframe="true" stylebar="true" location="1" size="150" window="50,50,500,500" />
<view id="512" toolbar="100017 | 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 | 100016" visible="true" inframe="false" stylebar="true" location="3" size="1085" window="100,100,600,400" />
</views>
<toolbar show="true" items="100026 | 0 39 73 62 | 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 14 68 | 30 29 54 32 31 33 | 25 17 26 60 52 61 | 40 41 42 , 27 28 35 , 6 | 100001 100002 100004 100007 100008 100009 100015 100010 100018 | 100005 100006 | 100003 100011 100012 | 100016 | 100028 100028 100025 100024 100022 100021 100020 100022 100023 100022 100019 100018 100015 100014 100013" position="1" help="false" />
<input show="true" cmd="true" top="true" />
<dockBar show="true" east="true" />
</perspective>
</perspectives>
<labelingStyle val="3"/>
<font size="18"/>
</gui>
<euclidianView>
<viewNumber viewNo="1"/>
<size width="803" height="771"/>
<coordSystem xZero="219.90959741750032" yZero="474.90080983335054" scale="20.80094203853788" yscale="20.800942038538196"/>
<evSettings axes="true" grid="false" gridIsBold="false" pointCapturing="3" rightAngleStyle="1" checkboxSize="26" gridType="3"/>
<bgColor r="224" g="224" b="224"/>
<axesColor r="0" g="0" b="0"/>
<gridColor r="192" g="192" b="192"/>
<lineStyle axes="1" grid="0"/>
<labelStyle axes="0" serif="true"/>
<axis id="0" show="true" label="" unitLabel="" tickStyle="1" showNumbers="true"/>
<axis id="1" show="true" label="" unitLabel="" tickStyle="1" showNumbers="true"/>
</euclidianView>
<algebraView>
<mode val="1"/>
</algebraView>
<kernel>
<uses3D val="true"/>
<continuous val="false"/>
<usePathAndRegionParameters val="true"/>
<decimals val="2"/>
<angleUnit val="degree"/>
<algebraStyle val="0" spreadsheet="0"/>
<coordStyle val="0"/>
</kernel>
<tableview min="-2.0" max="2.0" step="1.0"/>
<scripting blocked="false" disabled="false"/>
<euclidianView3D>
<coordSystem xZero="0.33287409334579965" yZero="-0.026591446729156986" zZero="-0.41559765354364137" scale="51.6881450341296" xAngle="14.0" zAngle="818.0"/>
<evSettings axes="false" grid="false" gridIsBold="false" pointCapturing="3" rightAngleStyle="1" gridType="3"/>
<axis id="0" show="false" label="" unitLabel="" tickStyle="1" showNumbers="true"/>
<axis id="1" show="false" label="" unitLabel="" tickStyle="1" showNumbers="true"/>
<axis id="2" show="false" label="" unitLabel="" tickStyle="1" showNumbers="true"/>
<plate show="false"/>
<bgColor r="0" g="0" b="0"/>
<clipping use="false" show="false" size="1"/>
<projection type="0"/>
</euclidianView3D>
<construction title="" author="" date="">
<element type="numeric" label="α">
<value val="6.28"/>
<show object="true" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.10000000149011612"/>
<layer val="2"/>
<labelMode val="1"/>
<slider min="0" max="(2 * π)" absoluteScreenLocation="true" width="200.0" x="30.0" y="50.0" fixed="false" horizontal="true" showAlgebra="true"/>
<lineStyle thickness="10" type="0" typeHidden="1"/>
<animation speed="1" type="0" playing="true"/>
</element>
<command name="CurveCartesian">
<input a0="If[t < α, (t, 0), (α, 1) + (1; t - α - π / 2)]" a1="t" a2="0" a3="(2 * π)"/>
<output a0="a"/>
</command>
<element type="curvecartesian" label="a">
<show object="false" label="false" ev="4"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="2"/>
<labelMode val="0"/>
<lineStyle thickness="5" type="0" typeHidden="1" opacity="178"/>
</element>
<command name="Mirror">
<input a0="a" a1="yAxis"/>
<output a0="a'"/>
</command>
<element type="curvecartesian" label="a'">
<show object="false" label="false" ev="4"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="2"/>
<labelMode val="0"/>
<lineStyle thickness="5" type="0" typeHidden="1" opacity="178"/>
</element>
<command name="Surface">
<input a0="((1 - t) * (a(θ) + (0, 0, 4))) + (t * (a(θ) + (0, 0, (θ / π * 2))))" a1="θ" a2="0" a3="(2 * π)" a4="t" a5="0" a6="1"/>
<output a0="b"/>
</command>
<element type="surfacecartesian3d" label="b">
<show object="true" label="false" ev="4"/>
<objColor r="0" g="0" b="255" alpha="0.74902" dynamicr="1" dynamicg="0" dynamicb="0" dynamica="0.74902" colorSpace="0"/>
<layer val="2"/>
<labelMode val="0"/>
<lineStyle thickness="1" type="0" typeHidden="1"/>
<levelOfDetailQuality val="true"/>
</element>
<command name="Surface">
<input a0="((1 - t) * a'(θ)) + (t * (a'(θ) + (0, 0, 4 - (2 * θ / π))))" a1="θ" a2="0" a3="(2 * π)" a4="t" a5="0" a6="1"/>
<output a0="c"/>
</command>
<element type="surfacecartesian3d" label="c">
<show object="true" label="false" ev="4"/>
<objColor r="0" g="0" b="255" alpha="0.74902" dynamicr="0" dynamicg="1" dynamicb="0" dynamica="0.74902" colorSpace="0"/>
<layer val="2"/>
<labelMode val="0"/>
<lineStyle thickness="1" type="0" typeHidden="1"/>
<levelOfDetailQuality val="true"/>
</element>
</construction>
</geogebra>