3 papers
math.NT2025
Folding
Michael Assis
It is well known that the set of origami constructible numbers is larger than the classical straight-edge and compass constructible numbers. However, the Huzita-Justin-Hatori origa…
math.GM2024
Exploring criteria for designing novel waterbomb tessellations using triangular convex polygons
Sukanya Deshmukh, Michael Assis
Waterbomb style tessellations have been explored in the past by artists such as Ronald D. Resch, Benjamin Parker and Mitya Miller. Generalised waterbomb tessellations are still und…
cs.CC2024
An origami Universal Turing Machine design
Michael Assis
It has been known since 1996 that deciding whether a collection of creases on a piece of paper can be fully folded flat without causing self-intersection or adding new creases is a…