Our random triangles paper has been published! Here’s an animated Figure 2, showing a geodesic in triangle space. The geodesic starts at the equilateral triangle shown, and the three curved paths show the tracks of the three vertices. https://doi.org/10.1080/00029890.2019.1535735 …pic.twitter.com/l6EZQ9dn1B
you may have a new sort of theta function associated with triangle-space, if you can make sense of a lattice in such a space
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In this case, triangle space is just the real projective plane, so probably the theta functions are already well-understood?
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