Tag Archives: geometry

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Discrete differential geometry Check out page 40 of the source PDF (calcula ex geometrica) — they talk about geometrical computation. Instead of approximating analog with digital doing digital arithmetic smoothing the result to fake an analog again why not OOP-define … Continue reading

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In philosophical debates about absolute truth, people cite “the truths of pure mathematics” as beyond reproach—eternal and universal things discovered/invented by us fallible mortals. But the more deeply I look into these issues myself, the more I see evidence that … Continue reading

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Why bicontinuity is the right condition for topological equivalence (homeomorphism): if continuity of the inverse isn’t required, then a circle could be equivalent to a line (.99999 and 0 would be neighbours) — Minute 8 or so. Geometric construction (no … Continue reading

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At the local viewing of the transit of Venus, I asked an astronomer named Lisa how people noticed a planet going in front of the Sun in the first place. (Surely they weren’t just staring at the sun all day?) … Continue reading

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Dmitri Tymoczko — author of The Geometry of Music how to make visual representations of music (in paintings, video games, sculpture) 5 constraints on a composition that are necessary (but not sufficient) for it to sound good global statistical properties of songs … Continue reading

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If you don’t read Sketches of Low-Dimensional Topology already, your personal astrologer advises that you start doing so before the next ecliptic. Sample pics and text: ctctstr4, originally uploaded by epsilon_is_afraid_of_zeta. View this 3-manifold as an interval of concentric spheres where … Continue reading

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http://video.ted.com/assets/player/swf/EmbedPlayer.swf rats’ brains, and presumably ours, tessellate the plane surface we walk on with multiple overlapping triangular grids (is there a mathematical reason triangles are optimal? euler characteristic, perhaps?) “path” neurons in the hippocampus fire as we cross these grids … Continue reading

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