The Ben Paul Thurston Blog

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

Sunday, February 2, 2014

Recursive tree for numbers that add and multiply to the same number

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Setting up two equations for two numbers that both add and multiply to k and using the quadratic formula yields: For example if k=10, th...

Valveless air pump

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Suppose the red and green bars inside these black lines are two piston heads inside a cylinder that also has two holes along it's length...
Friday, January 24, 2014

COVER math

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I had this idea for something I call COVER math, which is an acronym that stands for constants, operands, variables, expressions, replacemen...
Sunday, January 19, 2014

art math music and invention part 2

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A video I made showing stuff I've been working on the last couple months set to some music I made in Garage Band today...
Friday, January 17, 2014

Guass's circle problem revisited for about the tenth time

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Gauss's circle problem is asking how does the number of lattice points inside or on a circle centered at the origin for a certain radius...
Thursday, January 16, 2014

Low Kolmorogov complexity but never repeating series?

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I'm looking at the series generated by starting with n=1 and make r equal to the remainder of the sum of the digits of n when divided by...
Tuesday, January 14, 2014

Maps can be rectangularized maintaining borders

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You can take any map, say this one of the southeast U.S.... And do what I call rectangularizing it maintaining borders. So the first ste...
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