2 citations · 2 across the 2 of their papers we have counts for
4 papers
Unilateral and Equitransitive Tilings by Squares of Sizes 1, 2, 3, and 4
Layan Arrabi, Casey Mann, Fatima Muniz +2
In this article we examine a problem stated in Grübaum and Shephard's classic book on tiling theory, Tilings and Patterns, which asks the reader to find all unilateral and equitran…
Experimental Results on Potential Markov Partitions for Wang Shifts
Harper Hults, Hikaru Jitsukawa, Casey Mann +1
In this article we discuss potential Markov partitions for three different Wang tile protosets. The first partition is for the order-24 aperiodic Wang tile protoset that was recent…
Nonexpansive directions in the Jeandel-Rao Wang shift
Sébastien Labbé, Casey Mann, Jennifer McLoud-Mann
We show that is the set of slopes of nonexpansive directions for a minimal subshift in the Jeandel-Rao Wang shift, where is the…
Convex pentagons that admit -block transitive tilings
Casey Mann, Jennifer McLoud-Mann, David Von Derau
The problem of classifying the convex pentagons that admit tilings of the plane is a long-standing unsolved problem. Previous to this article, there were 14 known distinct kinds of…