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Timeline for Dodecahedral rolling distance

Current License: CC BY-SA 3.0

8 events
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Dec 18, 2017 at 6:37 history edited Martin Sleziak
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Dec 18, 2017 at 6:08 answer added Aaron Meyerowitz timeline score: 5
Dec 17, 2017 at 0:54 history edited Joseph O'Rourke CC BY-SA 3.0
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Dec 15, 2017 at 22:35 comment added Narasimham @Joseph O' Rourke Basis.. each time a face rolls through supplement of dihedral $arctan2$
Dec 15, 2017 at 20:27 answer added j.c. timeline score: 14
Dec 15, 2017 at 15:18 comment added Peter Michor The following paper might be helpful: Dmitri V. Alekseevsky, Peter W. Michor, Yurii A. Neretin: Rolling of Coxeter polyhedra along mirrors. In: Geometric Methods in Physics: XXXI Workshop 2012. Pages 67-86. Trends in Mathematics, Birkhauser, 2013. arXiv:0907.3502.
Dec 15, 2017 at 15:17 comment added Gerhard Paseman Looking at the shapes of two, three, and four circles may be informative. Pentagon distance would be a good approximation: roll along an optimal angle to achieve y distance, then go along x to hit point. My guess is Pentagon distance and roll distance will differ by at most one. Gerhard "Try Drawing A Five Sphere" Paseman, 2017.12.15.
Dec 15, 2017 at 14:23 history asked Joseph O'Rourke CC BY-SA 3.0