The most efficient origami torus

. This article announces the result that there does not exist an origami torus with 7 vertices and there does exist an origami torus with 8 vertices. These results settle the question about the most efficient way, in terms of the number of vertices, to construct an origami torus.

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Publication Details

Journal
Proceedings of the National Academy of Sciences
Published
2026-05-12
DOI
https://doi.org/10.1073/pnas.2523301123
Primary Topic
Advanced Materials and Mechanics
Type
article
Field-Weighted Citation Impact
0.00

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article

The most efficient origami torus

Richard Schwartz
Proceedings of the National Academy of Sciences
Advanced Materials and Mechanics
article

The most efficient origami torus

Richard Schwartz
article en

Abstract

. This article announces the result that there does not exist an origami torus with 7 vertices and there does exist an origami torus with 8 vertices. These results settle the question about the most efficient way, in terms of the number of vertices, to construct an origami torus.

Proceedings of the National Academy of SciencesVol. 123(21)
John Brown University (US)
National Science Foundation, Simons Foundation
Openalex Percentile: Top 9%
Advanced Materials and Mechanics
DOISourceOpenAlex
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The most efficient origami torus — Richard Schwartz · Proceedings of the National Academy of Sciences (2026) | TGRS Research Map | TGRS