The Ben Paul Thurston Blog

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

Thursday, February 26, 2015

Record surface interpolation

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Just thinking that the spiral groove on a record is a sort of space filling curve in the limit in polar coordinates... here dividing coeffic...
Sunday, February 22, 2015

Plane cross theorem

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Some definitions: The centroid of all the points is C The centroid of all the points except point A is C(A) V is the normalized vector fr...
Friday, February 20, 2015

Lattice for nearest neighbor

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Supposing you have some metric space with well defined midpoints, here just a plane with points... Start making a latice by picking a poi...
Monday, February 16, 2015

Dissolution of a polynomial

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Suppose you have a polynomial of, for example, degree 3: Because the first term is 5, you can imagine that it had 3 roots like: Then ...
Friday, February 13, 2015

Binary nearest neighbor for hull

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Suppose you have some points, have found the centroid, and the bounding circle to the farthest point C(1)... Now find the point halfway ...
Wednesday, February 11, 2015

Root finding algorithm without using derivatives

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This algorithm finds a root of an equation, like Newton's method, but is designed for situations when the function in question can be so...
Monday, February 9, 2015

Hex quotients

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Considering that 1 node of the hex grid is labeled 1, there being 6 possible directions to go, 3 from one types of vertices, 3 from the othe...
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