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math.CO2023★ 1 cited
Direct Construction of Aperiodic Tilings with the Hat Monotile
Ulrich Reitebuch
In 2023, the quest for an aperiodic monotile was answered by the hat monotile. In this article, structures in this aperiodic tiling are discovered, which allow for a direct computa…
math.CO2017★ 1 cited
Combinatorial and Asymptotical Results on the Neighborhood Grid
Martin Skrodzki, Ulrich Reitebuch, Alex McDonough
In various application fields, such as fluid-, cell-, or crowd-simulations, spatial data structures are very important. They answer nearest neighbor queries which are instrumental…