2 papers
math.MG2018
Rigid foldability of the augmented square twist
Thomas C. Hull, Michael T. Urbanski
Define the augmented square twist origami crease pattern to be the classic square twist crease pattern with one crease added along a diagonal of the twisted square. In this paper w…
math.NT2017
Index divisibility in the orbit of 0 for integral polynomials
T. Alden Gassert, Michael T. Urbanski
Let $f(x) \in \bbz[x]$ and consider the index divisibility set $D = \{n \in \bbn : n \mid f^n(0)\}$. We present a number of properties of in the case that $(f^n(0))_{n=1}^\inft…