On the Enumeration of Chequered Tilings in Polygons

Year: 2017 Authors: Hiroaki Hamanaka; Takashi Horiyama; Ryuhei Uehara

Core claim

Rhombus tilings of a dodecagon with a hole are bijective with special pseudoline arrangements and special Amidakujies, enabling dynamic-programming enumeration.

Topics

polygon tilings, pseudoline arrangements, Amidakuji enumeration, Tokyo 2020 emblems

Domains

combinatorics, discrete geometry, enumerative algorithms, bijections, graphic design, logo design, visual patterning, ornamental tilings

Methods

bijection proof, dynamic programming, enumeration, combinatorial modeling

Media

rhombus tilings, dodecagon with hole, Amidakuji diagrams, conference figures

Source status

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