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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.MG2018
Self-foldability of monohedral quadrilateral origami tessellations
Thomas C. Hull, Tomohiro Tachi
Using a mathematical model for self-foldability of rigid origami, we determine which monohedral quadrilateral tilings of the plane are uniquely self-foldable. In particular, the Mi…
math.MG2017★ 3 cited
Double-line rigid origami
Thomas C. Hull, Tomohiro Tachi
In this paper, we will show methods to interpret some rigid origami with higher degree vertices as the limit case of structures with degree-4 supplementary angle vertices. The inte…