On origami embeddings of flat tori
Takashi Tsuboi
TL;DR
This paper presents explicit origami-based methods to embed any flat torus of arbitrary modulus into three-dimensional Euclidean space, providing a geometric construction approach.
Contribution
It introduces a novel explicit origami embedding technique for flat tori of any modulus in 3D space.
Findings
Successful explicit embeddings for all moduli of flat tori
New geometric construction method for origami embeddings
Potential applications in geometric modeling and topology
Abstract
We give explicit origami embeddings of a 2-dimensional flat torus of any modulus in the 3-dimensional Euclidean space.
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Taxonomy
TopicsAdvanced Materials and Mechanics · Structural Analysis and Optimization · Cellular Automata and Applications