Ergodic Theory

Ergodic Theory

Eight Vertices, One Proof

Jun 02, 2026
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The torus is among the simplest objects in topology: a surface with one hole, the genus-one closed manifold. In smooth geometry it presents no difficulty. In combinatorial geometry, where surfaces must be assembled from flat polygonal pieces, it becomes a problem with a surprisingly resistant lower bound.

An origami torus is constructed from finitely man…

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