The Ben Paul Thurston Blog

Math, Movies, Science, Computers, and so on...

Wednesday, October 22, 2014

Regular Polyhedra formula

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I found this formula that you put in S for how many sided polygons and P for how many meet at a vertex and gives the number of Edges, Faces,...
Tuesday, October 21, 2014

easy way to find the volume of a polyhedron

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An easy formula for finding the volume of a polyhedron when you know the coordinates of the vertices... where the bars are absolute...
Wednesday, October 15, 2014

Finding a path through every point of a graph

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For a simple connected graph with coordinates I believe this algorithm finds a path visiting every point once if it is possible. The firs...
Tuesday, October 7, 2014

Generating pythagorean triples from the positive rationals [0..1]

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consider this formula: For rationals [0..1] these (x,y) pairs are on the unit circle in the first quadrant, as proven here:  http://math...
Saturday, October 4, 2014

map cardinal traversal rectification

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This program takes a map of a certain number of different colors like: And produces this: This map preserves the order that you will r...
Thursday, October 2, 2014

"wiggling" a polygon keeping constant area

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Ok suppose you have a polygon: I noticed you can "wiggle" any of the points to 4 possible new points so that the distance to t...
Monday, September 29, 2014

spiral chart

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A program I wrote takes some values like: [3,5,2,8,1,3,7] first sorts greatest to smallest: [8,7,5,3,3,2,1] (The program works whether th...
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