Category Archives: sciences

more chainmail

This image, which I made a few years ago, is based on a tiling of the hyperbolic plane with triangles whose angles are π/2, π/3, π/7. Other than the 7, which can be changed to any higher integer, I couldn’t … Continue reading

Posted in eye-candy, mathematics | 1 Comment

another thought that I’m never likely to have occasion to apply

If one has the luxury of designing a calendar from scratch, it might be good to put leap day at aphelion, where its angular value is least.

Posted in calendars | Tagged | 1 Comment

more hyperbolic stuff

I put a series of tilings of the hyperbolic plane on Wikimedia Commons.

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toward a graceful imitation of the crude

I’ve long had an idea to design “outline” typefaces which, at appropriate low resolution, would mimic certain bitmap fonts that have sentimental resonance. The orange discs are the original dots, of course. The blue arcs are least-squares fits (linear, quadratic) … Continue reading

Posted in curve-fitting | Tagged , | 3 Comments

to save some integrating

For my own future reference, in case I lose the bit of paper on which I jotted it. In a function of period 2π, a unit step discontinuity in the nth derivative at phase α contributes this to the Fourier … Continue reading

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wiggly lines

A few people will recognize immediately how and why I did this.

Posted in heraldry, mathematics | 3 Comments

if MCE were alive

My strip representation of the hyperbolic plane inspired Vladimir Bulatov to explore weirder conformal mappings thereof. (Conformal means angles are preserved.)

Posted in eye-candy, mathematics | 1 Comment