The Moduli Space of Acute Triangles
Algebraic Geometry
2025-07-30 v1
Abstract
As an introduction to the concept of "moduli space" we consider the moduli space of similarity classes of acute and right triangles in the plane. This has a map to the moduli space of elliptic curves which is onto and generically three-to-one. The reason is that from any acute or right triangle we can construct an elliptic curve, and every elliptic curve is isomorphic to one constructed this way.
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Cite
@article{arxiv.2407.06201,
title = {The Moduli Space of Acute Triangles},
author = {John Carlos Baez},
journal= {arXiv preprint arXiv:2407.06201},
year = {2025}
}
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3 pages