The Ben Paul Thurston Blog

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

Sunday, May 25, 2014

180 degree vision

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I took a video panning the camera from left to right and took the very middle column of each frame of the video and stitched them to make th...
Tuesday, May 20, 2014

Rectangle billiard solution

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Suppose you have a table and a linear paramterization for a ball on the table... These equations tell you where on the table you'l...
Sunday, May 18, 2014

complex angle

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Consider the following, you first go 6 steps in the 1 direction and then 3 in the i direction: So you divide the corresponding complex n...
Thursday, May 15, 2014

bank shot

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I read about this on a pool site but they didn't have a picture so I made this one, you aim for the reflected pocket on an imaginary poo...
Sunday, May 11, 2014

Tell whether a point is inside a polygon by reflection

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I noticed if you have a convex polygon like so: You can reflect this polygon across a point, in this case G... And anytime G is outsid...
Saturday, April 19, 2014

Beta sub t, binary comparison between x and y

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I've defined this function: Where x and y are binary variables. And mod indicates the remainder of it's first argument when d...
Thursday, April 17, 2014

modular additive network

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Suppose you have a graph like the following: I first fill in some starting values for all the nodes: Call this State 1. State 2 is gen...
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