Exploring criteria for designing novel waterbomb tessellations using triangular convex polygons

Sukanya Deshmukh; Michael Assis

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arXiv · 2409.02931

Exploring criteria for designing novel waterbomb tessellations using triangular convex polygons

Sukanya Deshmukh·Michael Assis

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Abstract

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 underexplored in origami design. We have explored various sets of criteria for generalising waterbomb tessellations in order to enumerate valid patterns. We only consider triangular waterbomb tessellations, other polygons will be explored in future papers. In our search we have uncovered some new waterbomb tessellations, which could offer new uses in representational and geometric origami design. We conclude by discussing foldability properties and possible generalisations.

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Sukanya Deshmukh, Michael Assis. 2024-08-21. Exploring criteria for designing novel waterbomb tessellations using triangular convex polygons. https://arxiv.org/abs/2409.02931

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