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Summary
| Description |
English: Biggest little polygon with 6 sides (on the left); on the right the regular polygon with same diameter but lower area. |
| Date | |
| Source | Own work |
| Author | Claudio Rocchini |
Licensing
I, the copyright holder of this work, hereby publish it under the following license:
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
Source Code
CaRMetal source:
<?xml version="1.0" encoding="utf-8"?>
<CaR>
<Construction>
<Window x="0.1644269933708602" y="-1.2385769251749947" w="1.6817928305074408"/>
<Windowdim w="916" h="594"/>
<Preferences minfontsize="24" minpointsize="3" minlinesize="1" arrowsize="10" selectionsize="8" monkeyspeed="20" gridopacity="20" digits.lengths="2" digits.edit="4" digits.angles="2" colorbackground="255,255,255" colorbackgroundx="2" colorbackgroundy="2" colorbackgroundPal="4" fig3D="false" figDP="false"/>
<Objects>
<Point name="P1" n="0" color="2" x="-0.6215405726727272" y="-1.7554054466921931" shape="circle">Punto</Point>
<Point name="P2" n="3" color="2" x="-0.6262986125501092" y="-0.7554167662279964" shape="circle">Punto</Point>
<Segment name="s1" n="4" color="1" type="thick" from="P1" to="P2" fixed="1">Segmento da P1 a P2 di lunghezza "1"</Segment>
<Plumb name="p2" n="14" color="3" type="thin" point="P1" line="s1" valid="true">Retta perpendicolare per P1 a s1</Plumb>
<Circle name="c1" n="17" color="4" type="thin" fixed="0.343771" midpoint="P1" acute="true">Circonferenza di centro P1 e raggio 0.20690240718037356</Circle>
<Intersection name="P3" n="18" color="2" type="thin" first="p2" second="c1" shape="circle" which="first">Intersezione tra p2 e c1</Intersection>
<Plumb name="p3" n="21" color="3" type="thin" point="P3" line="p2" valid="true">Retta perpendicolare per P3 a p2</Plumb>
<Circle name="c2" n="24" color="4" type="thin" through="P1" midpoint="P2" acute="true">Circonferenza di centro P2 per P1</Circle>
<Intersection name="P4" n="25" color="2" first="p3" second="c2" shape="circle" which="first">Intersezione tra p3 e c2</Intersection>
<Parallel name="pl1" n="28" color="3" type="thin" point="P4" line="p2">Retta parallela per P4 a p2</Parallel>
<Intersection name="P5" n="29" color="2" first="pl1" second="c2" shape="circle" which="second">Intersezione tra pl1 e c2</Intersection>
<Segment name="s2" n="32" color="1" type="thick" from="P5" to="P2">Segmento da P5 a P2</Segment>
<Segment name="s3" n="35" color="1" type="thick" from="P4" to="P2" code_symbol="4">Segmento da P4 a P2</Segment>
<Intersection name="P6" n="40" color="2" first="s1" second="s3" shape="circle">Intersezione tra s1 e s3</Intersection>
<Circle name="c4" n="60" color="4" type="thin" through="P6" midpoint="P4" acute="true">Circonferenza di centro P4 per P6</Circle>
<Circle name="c5" n="67" color="4" type="thin" through="P6" midpoint="P5" acute="true">Circonferenza di centro P5 per P6</Circle>
<Circle name="c6" n="70" color="4" type="thin" fixed="0.5" midpoint="P1" acute="true">Circonferenza di centro P1 e raggio 0.5635848217335243</Circle>
<Intersection name="P7" n="71" color="2" type="thin" first="p2" second="c6" shape="circle" which="first">Intersezione tra p2 e c6</Intersection>
<Plumb name="p4" n="74" color="3" type="thin" point="P7" line="p2" valid="true">Retta perpendicolare per P7 a p2</Plumb>
<Intersection name="P8" n="75" color="2" first="p4" second="c5" shape="circle" which="second">Intersezione tra p4 e c5</Intersection>
<Intersection name="P9" n="76" color="2" type="thin" first="p2" second="c6" shape="circle" which="second">Intersezione tra p2 e c6</Intersection>
<Plumb name="p5" n="79" color="3" type="thin" point="P9" line="p2" valid="true">Retta perpendicolare per P9 a p2</Plumb>
<Intersection name="P10" n="80" color="2" first="p5" second="c4" shape="circle" which="second">Intersezione tra p5 e c4</Intersection>
<Segment name="s4" n="83" color="1" type="thick" from="P8" to="P5">Segmento da P8 a P5</Segment>
<Segment name="s5" n="94" color="1" type="thick" from="P10" to="P4">Segmento da P10 a P4</Segment>
<Polygon name="pol3" n="176" color="1" background="true" point1="P2" point2="P10" point3="P5" point4="P1" point5="P4" point6="P8">Poligono</Polygon>
<Segment name="s7" n="179" color="1" type="thick" from="P8" to="P10" code_symbol="3">Segmento da P8 a P10</Segment>
<Expression name="E2" n="180" color="1" type="thick" showname="true" showvalue="true" x="-0.8256321484698884" y="-0.6765906659838776" value="pol3" prompt="A">Espressione "pol3" in -0.82, -0.61</Expression>
<PointOn name="P11" n="185" color="2" on="p2" alpha="-1.7165096536390696" x="1.0949496508738614" y="-1.7472382253102672" shape="circle">Punto su un oggetto</PointOn>
<Plumb name="p6" n="186" color="3" type="thin" point="P11" line="p2" valid="true">Retta perpendicolare per P11 a p2</Plumb>
<Circle name="c7" n="189" color="4" type="thin" fixed="1" midpoint="P11" acute="true">Circonferenza di centro P11 e raggio 0.5484996120901491</Circle>
<Intersection name="P12" n="190" color="2" first="p6" second="c7" shape="circle" which="second">Intersezione tra p6 e c7</Intersection>
<Midpoint name="P13" n="447" color="2" type="thin" first="P12" second="P11" shape="circle">Punto medio tra P12 e P11</Midpoint>
<Circle name="c8" n="450" color="4" type="thin" through="P12" midpoint="P13" acute="true">Circonferenza di centro P13 per P12</Circle>
<Circle name="c9" n="453" color="4" type="thin" through="P13" midpoint="P12" acute="true">Circonferenza di centro P12 per P13</Circle>
<Circle name="c10" n="456" color="4" type="thin" through="P13" midpoint="P11" acute="true">Circonferenza di centro P11 per P13</Circle>
<Intersection name="P14" n="457" color="2" first="c8" second="c9" shape="circle" which="second">Intersezione tra c8 e c9</Intersection>
<Intersection name="P15" n="458" color="2" first="c8" second="c9" shape="circle" which="first">Intersezione tra c8 e c9</Intersection>
<Intersection name="P16" n="459" color="2" first="c10" second="c8" shape="circle" which="first">Intersezione tra c10 e c8</Intersection>
<Intersection name="P17" n="460" color="2" first="c8" second="c10" shape="circle" which="first">Intersezione tra c8 e c10</Intersection>
<Polygon name="pol4" n="461" color="4" background="true" point1="P12" point2="P15" point3="P16" point4="P11" point5="P17" point6="P14">Poligono</Polygon>
<Expression name="E3" n="463" color="4" type="thick" showname="true" showvalue="true" x="0.8270704688116055" y="-0.6686555287154803" value="pol4" prompt="A">Espressione "pol4" in 0.84, -0.6</Expression>
<Segment name="s8" n="466" color="1" type="thick" from="P14" to="P16">Segmento da P14 a P16</Segment>
<Segment name="s9" n="469" color="1" type="thick" from="P15" to="P17">Segmento da P15 a P17</Segment>
<Segment name="s10" n="472" color="1" type="thick" from="P12" to="P11">Segmento da P12 a P11</Segment>
<Parallel name="pl2" n="477" color="3" type="thin" point="P2" line="p2">Retta parallela per P2 a p2</Parallel>
</Objects>
</Construction>
</CaR>
File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 12:40, 7 July 2016 | | 478 × 312 (21 KB) | Rocchini | User created page with UploadWizard |
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