The most efficient origami torus.
Where this comes from
- Record sourced from PubMed, PMID 42118854.
- Also identified by DOI 10.1073/pnas.2523301123 and PMC identifier 13214001.
- No licence information is recorded for this record.
- Because redistribution is not established, this page shows the abstract only. Follow the links below for the full text.
Abstract
A paper torus, also called an origami torus, is a torus in three-dimensional space that is made from finitely many triangles which fit together in such a way that the sum of the angles around each vertex is 2<i>π</i>. 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.