File:Demipenteract graph ortho.svg

Original file(SVG file, nominally 800 × 800 pixels, file size: 805 bytes)

Summary

Description
English: Othographic projection of Demipenteract (edge gragh)
Date
Source Own work
Author Claudio Rocchini

Source Code

static int nbit( int x ) {
	int n = 0;
	while(x) { if(x&1) ++n; x >>= 1; }
	return n;
}

void main() {
	const int D  = 5; const int NV = 16; const int NE = 80;
	double v[NV][D]; int    e[NE][2];
	double px[NV]; double py[NV];
		// Magic numbers
	const double x1 = -.1464466094; const double y1 =  .3535533906;
	const double x2 = -.1464466094; const double y2 = -.3535533906;
        const double x3 = -.3535533906; const double y3 =  .1464466094;
	const double y4 = -.1464466094; const double x4 = -.3535533906;
	const double x5 = 0;            const double y5 = 0;
	const double PX[D] = {x1,x2,x3,x4,x5};
	const double PY[D] = {y1,y2,y3,y4,y5};
	int i,j,k,l;

	for(k=0,i=0;i<(1<<D);++i) if(nbit(i)%2==0){
		for(j=0;j<D;++j) v[k][j] = (i>>j)&1 ? 1.0 : -1.0;
		++k;
	}
	assert(k==NV);

	for(k=0,i=0;i<NV-1;++i) for(j=i+1;j<NV;++j) {
		double d = 0;
		for(l=0;l<D;++l) { double t = v[i][l]-v[j][l]; d += t*t; }
		if(d==8) { e[k][0]=i; e[k][1]=j; ++k; }
	}
	
	for(i=0;i<NV;++i){
		px[i] = 0; for(l=0;l<D;++l) px[i] += v[i][l]*PX[l];
		py[i] = 0; for(l=0;l<D;++l) py[i] += v[i][l]*PY[l];
	}
	
	const double SX = 800; const double SY = 800;
	const double B  = 64;  const double R  = 12;
	
	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\\Demipenteract_Graph2.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=\"Demipenteract_Graph2\">\n"
		,SX,SY
	);

	fprintf(fp,"<g style=\"stroke:#000000;stroke-width:3;stroke-opacity:1.0;\">\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;fill:#0000E0\">\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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28 July 2008

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Date/TimeThumbnailDimensionsUserComment
current03:17, 11 October 2021Thumbnail for version as of 03:17, 11 October 2021800 × 800 (805 bytes)Andreasl01Simplified code
21:34, 12 September 2008Thumbnail for version as of 21:34, 12 September 2008800 × 800 (5 KB)Tomruentry red dots
11:40, 28 July 2008Thumbnail for version as of 11:40, 28 July 2008800 × 800 (5 KB)Rocchini{{Information |Description={{en|1=Othographic projection of Demipenteract (edge gragh)}} |Source=Opera creata dall'uploader (own work by uploader) |Author=Claudio Rocchini |Date=2008-07-28 |Permission= |other_versions= }} {{ImageUpload|

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