Category Archives: mathematics

fun with refraction

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the stubborn spiral

Rusin’s disco ball golden angles Saff & Kuijlaars Examples of three algorithms for distributing nodes fairly evenly over a sphere. Those on the middle and right slice the sphere into parallel bands of equal area (much narrower than the white … Continue reading

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Doctor Matrix’s little helpers

Ed Pegg writes: I’d like to do a “behind the scenes” look at Mathematical Games for an article. Martin [Gardner] did lots, but he avidly used a lot of help from hundreds of people. I’d like to write an article … Continue reading

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Randome

Dick Fischbeck has a new website for a kind of structure that he calls Randome, formed of overlapping shallow cones.

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all of you, you’re nothing but random seeds!

On BART today, a fellow passenger saw me making notes on paper and occasionally looking up, and got the idea that I was taking statistics on the passengers. No, I said, I’m doing math for my own entertainment. He sat … Continue reading

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squished hypertorus

This is intended to be an orthographic projection of a stereographic projection from S5 (the five-dimensional surface of a sphere in six-dimensional space) into E5 (flat five-space) of the cartesian product S2 × S2, a kind of torus. The colors … Continue reading

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Knuth to speak

Don Knuth: Computer Musings

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