Complex Projective 4-Space
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Schanuel's conjecture and the semantics of FPSan
I've been spending some of my time recently developing a tool called FPSan in collaboration with Pawel Szczerbuk. It's implemented as a Triton compiler pass, but has none of the desirable properties expected of a compiler pass: in particular, it doesn't p
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Every finite phoenix has period 2
A phoenix is an oscillator in Conway's Life where every cell dies in every generation. The smallest example is Phoenix 1, which oscillates with period 2 and has a constant population of 12: All known finite phoenices have period 2, and Stephen Silver prov
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Aperiodic monotile
David Smith, Joseph Myers, Craig Kaplan, and Chaim Goodman-Strauss have discovered an aperiodic monotile: a polygon that tiles the plane by rotations and reflections, but cannot tile the plane periodically. Any tiling induced by the monotile is scalemic:
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29-year-old Conway conjecture settled
Ilkka Törmä and Ville Salo, a pair of researchers at the University of Turku in Finland, have found a finite configuration in Conway's Game of Life such that, if it occurs within a universe at time T, it must have existed in that same position at time T1
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