File:Polygon-032VC.svg

Summary

Description
English: Regular 32-gon; drawn with viewBox and cloning
Deutsch: Umriss eines regelmäßigen 32-Eck

Die Koordinaten resultieren aus allgemein bekannten trigonometrischen Formeln.
Gegeben sind der Radius mit 500px, und die Azahl der Ecken mit 32.

der Kreisumfang ist also 1000 π, und 360 / 64 = 5,625 Winkelgrad;
sin(5,625°) = 0,0980171403
cos(5,625°) = 0,995184727
Die Länge s der Sehne ist 2 * 500 * 0,0980171403 = 2 * 49,0085701 = 98,0171402
Die Distanz d vom Zentrum z zum Lot auf die Sehne ist 500 * 0,995184727 = 497,592363
bzw. die Höhe h der Kalotte ist 500 - d = 500 - 497,592363 = 2,407637
Damit ergeben sich die Koordinaten der obersten Sehne s mit x = z-s/2 = 450,99143, y = 25 + h = 27,407637
oder wie hier relativ zum Zentrum z: x = - s/2 = -49,0085701 und y = - d = -497,592363
Date
Source Own work based on: Polygon-032.svg by Antonsusi
Author Sarang
SVG development
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The SVG code is valid.
Category:Valid SVG created with Text Editor code
 
This trigonometry was created with a text editor.
 
Please do not replace the simplified code of this file with a version created with Inkscape or any other vector graphics editor
Category:SVG simplification by viewBoxCategory:SVG simplification by cloning
Source code
InfoField

SVG code

<?xml version="1.0"?>
<svg xmlns="http://www.w3.org/2000/svg" width="1050" height="1050"
xmlns:xlink="http://www.w3.org/1999/xlink" viewBox="-525 -525 1050 1050">
<g id="e"><g id="d"><g id="c"><g id="b">
<path id="a" stroke="#000" d="m-49.01-497.59h98.02"/>
<use xlink:href="#a" transform="rotate(11.25)"/></g>
<use xlink:href="#b" transform="rotate(22.5)"/></g>
<use xlink:href="#c" transform="rotate(45)"/></g>
<use xlink:href="#d" transform="rotate(90)"/></g>
<use xlink:href="#e" transform="rotate(180)"/>
</svg>

Licensing

Public domain This image of simple geometry is ineligible for copyright and therefore in the public domain, because it consists entirely of information that is common property and contains no original authorship.
Heptagon
Heptagon
Category:PD shape#Polygon-032VC.svgCategory:PD-shape missing SDC copyright status Category:Regular polygons-set 1 Category:Some regular 21+gons (to be diffused)
Category:PD-shape missing SDC copyright status Category:PD shape Category:Regular polygons-set 1 Category:SVG simplification by cloning Category:SVG simplification by viewBox Category:Some regular 21+gons (to be diffused) Category:Valid SVG created with Text Editor code