What is twisted triangular two-torus also called a triangular doughnut?

Asked May 14 '13 at 19:37

Active May 14 '13 at 20:02

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In "A Geometry of Music" by Dmitri Tymoczko Oxford 2010, the authors says that mathematicians refer to a particular lattice in what mathematicians would call "the interior of a twisted triangular two-torus, otherwise known as a triangular doughnut.

What is the correct equation for that?

edited May 14 '13 at 20:02

Ed Pegg

20,955

asked May 14 '13 at 19:37

Booger Rooger

See "The Sensual Quadratic Form" by John Horton Conway. I am pretty sure you are asking about isospectral domains, Conway gives some detail but stays elementary. – Will Jagy May 14 '13 at 20:26

What is twisted triangular two-torus also called a triangular doughnut?

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