Origami Torus

Torus the phizz unit torus happens to be one of the most stunning yet challenging modular origami pieces i have done yet.

Origami torus. Once complete though the design itself is surprisingly rigid and is really fun to look at and hold. Folding and assembly is done by matt johnston and the music is frederick chopin s butterfly. Published on jun 19 2011 here is an origami torus constructed from 555 of tom hull s phizz unit.

This torus has been made as a sliceform. It folds flat because the intersection of each set of slices acts as a hinge. It has 360 total units and took me a few months to complete.

The symplectic or algebraic structure is dropped and the focus is the existence of an effective smooth action of a torus half the dimension of the manifold. Origami is one of my favorite hobbies it s nice to actually create something in the physical world instead of writing some code which you can t really pick up turn around and hold. Toric origami manifolds are locally standard.

It s nice to spend time on something and see it completed. In 2019 i made origami fibonacci torus and knot as extension of the origami fibonacci turbine 2018 patent pending. Torus made of villarceau circles and lamella dome the geometry used at palazzetto dello sport rome italy built for the 1960 summer olympics opened in 1957 by pier louigi nervi.

For more on sliceforms do a web search with google. It has 360 total units and took me a few months to complete. Toric topology is the study of topological analogues of toric symplectic manifolds and toric varieties.

It is a paper model made from two sets of slices of the torus. Normally origami is done with a single square of paper no cuts no glue.