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File:Biggest little polygon.svg

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Original file (SVG file, nominally 478 × 312 pixels, file size: 21 KB)

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

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w:en:Creative Commons
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  • 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 &quot;1&quot;</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 &quot;pol3&quot; 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 &quot;pol4&quot; 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>

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7 July 2016

image/svg+xml

d03f9b0ecdeca97f0ee00ab7405c3fa7657fa75e

22,007 byte

312 pixel

478 pixel

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Date/TimeThumbnailDimensionsUserComment
current12:40, 7 July 2016Thumbnail for version as of 12:40, 7 July 2016478 × 312 (21 KB)RocchiniUser created page with UploadWizard

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