ℂℍ ≅ Cl(3) ≅ M₂₂(ℂ) ≅ SU(2) ⊕ SU(2)i. 4D geometry enthusiast. Physics programmer: https://teapawt.net/t.co/0Cfon7p87D
Irvine, CA
Joined December 2012
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I've uploaded 3 1080p HD renders of the twister animation to #Wikipedia. Released to public domain as always. commons.wikimedia.org/w/inde…
I’ve heard arguments about mathematical criteria various voting systems satisfy.
I think this misses the mark. I endorse approval voting because I think it fundamentally *depolarizes society*.
Candidate effort goes to gaining policy support instead of villainizing opponents.
Prediction: the most obvious immediate effect of the new presidency will be that self driving cars hit the roads quickly because regulatory ‘red tape’ has been removed.
This will hurt many early adopters and bystanders, and simultaneously advance self driving tech very quickly.
Happy to see the rhombic dodecahedron exposed as a tesseract projection, with the front and the back indicated by a choice of which four distorted cubic faces to visualize!
For space tiling intuition: it is a checkerboard of every other cube, inflated to fill the gaps.
New video: Why 4d geometry makes me sad
As I say in the intro, if you even remotely like math, I can almost guarantee that you will be delighted by the solutions to the puzzles here.
youtu.be/piJkuavhV50
I expect the quaternion fish to be 3D and the octonion fish to be a perspective dependent Escherian paradox that is simultaneously eating and anti-eating the quaternions.
When you unify elliptic and hyperbolic rotations, you unify gentle periodic behavior with asymptotic ‘wrap around at infinity’ behavior.
Volume preserving hyperbolic squish-stretching does like to poke infinity as the transformation turns inside out.
Intuitively, it seems like modern hardware and compilers would treat x << N and x >> N as evaluating to zero if N is greater than or equal to the number of bits in x.
Yet at best we treat N as (N % bitcount(x)), and at worst it is undefined. Why?
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