2 papers
math.GT2020
Combinatorial Growth in the Modular Group
Ara Basmajian, Robert Suzzi Valli
We consider an exhaustion of the modular orbifold by compact subsurfaces and show that the growth rate, in terms of word length, of the reciprocal geodesics on such subsurfaces (so…
math.HO2020
Shortest Paths on Cubes
Richard Goldstone, Rachel Roca, Robert Suzzi Valli
In 1903, noted puzzle-maker Henry Dudeney published The Spider and the Fly puzzle, which asks for the shortest path along the surfaces of a square prism between two points (source…