My recent origami work is based on explorations of the water bomb base tessellation, some of which was written up in my 2021 Bridges article. This is an in-depth consideration of many variations on a tessellation first folded by Ron Resch. I also have explored many other origami tessellations, and I am particularly interested in variation of structure, the interrelationship between different patterns, and the process of progression from one deign to another. I also produce generative art work inspired by mathematical ideas, for example Truchet tilings, the game of life, and highly symmetric patterns. I am particularly drawn to create moving images, illustrating dynamically changing relationships between mathematical structures.
This is folded from a fractal design based on the water bomb base tessellation. Only the first four iterations are folded. A simple fan fold completes the design instead of infinitely many iterations. The work is folded from a single sheet of paper with A-series aspect ratio. The design appears as variation (4) in Figure 1 of my 2021 Bridges paper. However, for the current work, the design has been stretched, so that a square becomes A series paper. The resulting tessellation is no longer flat folding. However, the new ratio of the sides ensures a much better form of the slightly opened out origami, with a rigid plane corrugation possible, whereas the angles for the flat version result in a slightly curved formation when opened out.