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arXiv · 2407.06201

The Moduli Space of Acute Triangles

John Carlos Baez
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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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John Carlos Baez. 2024-06-23. The Moduli Space of Acute Triangles. https://doi.org/10.1090/noti2932

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