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File:Penteract ortho petrie.svg

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Original file (SVG file, nominally 800 × 800 pixels, file size: 6 KB)

Summary

Description
English: Orthographic projection of penteract making the petrie polygon
Date
Source Own work
Author Claudio Rocchini

Source code

void main()
{
	const int ND = 5; const int NV = (1<<ND); const int NE = 80;
	double v[NV][ND]; int e[NE][2];
	double PX[ND] = {
	 0.19098300562505255,
	 0.50000000000000000,
	 0.61803398874989479,
	 0.50000000000000000,
	 0.19098300562505266};
	double PY[ND] = {
	-0.58778525229247314,
	-0.36327126400268039,
	-0.00000000000000011,
	 0.36327126400268039,
	 0.58778525229247325};
	
	double px[NV]; double py[NV];

	int i,j,k,l;

	for(i=0;i<NV;++i) for(j=0;j<ND;++j) v[i][j] = (i>>j)&1 ? -0.5 : 0.5;

	l = 0;
	for(i=0;i<NV-1;++i) for(j=i+1;j<NV;++j) {
		double d = 0;
		for(k=0;k<ND;++k) d += (v[i][k]-v[j][k])*(v[i][k]-v[j][k]);
		d = sqrt(d);
		if(d==1) { e[l][0]=i; e[l][1]=j; ++l;}
	}
	assert(l==NE);
for(i=0;i<NV;++i){
		px[i] = 0; for(l=0;l<ND;++l) px[i] += v[i][l]*PX[l];
		py[i] = 0; for(l=0;l<ND;++l) py[i] += v[i][l]*PY[l];
	}
	
	const double SX = 800; const double SY = 800;
	const double B  = 32;  const double R  = 8;
	
	const double sca  = std::min((SX-2*B)/2,(SY-2*B)/2);
	for(i=0;i<NV;++i) { px[i] = B+(px[i]+1)*sca; py[i] = B+(py[i]+1)*sca; }

	FILE * fp = fopen("c:\\temp\\PenteractPetrie.svg","w");
	fprintf(fp,
		"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\"?>\n"
		"<svg\n"
		"xmlns:svg=\"http://www.w3.org/2000/svg\"\n"
		"xmlns=\"http://www.w3.org/2000/svg\"\n"
		"version=\"1.0\"\n"
		"width=\"%g\"\n" "height=\"%g\"\n"
		"id=\"PenteractPetrie\">\n"
		,SX,SY
	);
	fprintf(fp,"<g style=\"stroke:#000000;stroke-width:2;stroke-opacity:0.5;\">\n");
	for(i=0;i<NE;++i)
		fprintf(fp,
			"<line x1=\"%5.1lf\" y1=\"%5.1lf\" x2=\"%5.1lf\" y2=\"%5.1lf\"/>\n"
			,px[e[i][0]],py[e[i][0]], px[e[i][1]],py[e[i][1]]
		);
	fprintf(fp,"</g>\n");
	fprintf(fp,"<g style=\"stroke:#000000;stroke-width:2;stroke-opacity:0.5;fill:#0080FF\">\n");
	for(i=0;i<NV;++i)
		fprintf(fp,"<circle cx=\"%5.1lf\" cy=\"%5.1lf\" r=\"%5.1lf\"/>\n",px[i],py[i],R);
	fprintf(fp,"</g>\n");
	fprintf(fp,"</svg>\n");
	fclose(fp);
}

Licensing

I, the copyright holder of this work, hereby publish it under the following licenses:
GNU head Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.
w:en:Creative Commons
attribution
This file is licensed under the Creative Commons Attribution 3.0 Unported 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.
You may select the license of your choice.

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depicts

1 August 2008

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Date/TimeThumbnailDimensionsUserComment
current11:58, 1 August 2008Thumbnail for version as of 11:58, 1 August 2008800 × 800 (6 KB)Rocchini{{Information |Description={{en|1=Orthographic projection of penteract making the petrie polygon}} |Source=Opera creata dall'uploader (own work by uploader) |Author=Claudio Rocchini |Date=2008-08-01 |Permission= |other_versions= }} {{Im

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