Category Archives: mathematics

16 million colors

Nearly eight hours in the making, here it is: all the 24-bit colors in a tasteful, tilable fractal arrangement — 16million.png.gz (1 megabyte). And since Mads asked for it, the Python sourcecode: two files. Another way to flatten the color … Continue reading

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Takana

I had the idea to design a fantasy script from combinations of a small repertoire of features: namely, subsets of this set of twelve segments. Using a fixed number of segments gives some built-in error-detection. There are 924 subsets of … Continue reading

Posted in language, mathematics | 9 Comments

four million colors

You may know from The Art of Computer Programming §4.1 (citing W. Penney, 1965) that, just as any positive real number can be represented by a bit string in base 2, any complex number can be represented by a bit … Continue reading

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fun with eigenvectors

After installing that matrix math library, I spent a week’s evenings pushing several abstract graphs through my “topological coordinates” program and finding, to my lack of complete shock, that none of them had any neat three-dimensional embedding. Then I tried … Continue reading

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Finagle’s Law

I hoped to have some new math pictures for you (or at least for me) today, but my attempts to install a code library that I need have come to nothing. The makefile invokes gcc with options that version 3.3 … Continue reading

Posted in bitterness, mathematics, neep-neep | 6 Comments

les maths sont universels

Philippe “Goulu” cites my sphere arrangements page and discusses the subject thereof, in French.

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Jenn

New toy! Fritz Obermeyer’s Jenn makes stereographic projections of most of the convex uniform tilings of the hypersphere; of the 64 Conway-Guy polychora only four (whose construction is somewhat anomalous) are missing. I downloaded the generic Unix version and easily … Continue reading

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