Mathematical dice design and -Variants of the 15-Puzzle and the Effects of Holonomy Henry Segerman, Oklahoma State University Host: Nazia Valiyakath This is part of the OSU-AWM Inauguration Week activities.
Abstract: Robert Fathauer and I started making injection molded dice as "the dice lab" in 2014, and have since produced over 30 different dice designs. I'll talk about the mathematical, functional, and aesthetic aspects of our work.
Variants of the 15-puzzle and the effects of holonomy
I'll discuss some variants of the classic sliding tile "15 puzzle" that involve holonomy - the phenomenon of traveling around a loop in a curved surface and coming back rotated. I'll demonstrate physical puzzle designs with positive and with negative curvature, and discuss design considerations and consequences.
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