On 2/3/11, Mike Stay <metaweta@gmail.com> wrote:
It's well known that continued fractions and the (3,infty) tiling of the hyperbolic plane are deeply connected.
Um... it may be well known, but I don't think I knew it! Anybody got a reference? WFL
What happens if we move to the (4,infty) tiling of the plane? It's the Cayley graph of the free group on two generators; as a gasket, you place two "equal" (in the hyperbolic sense) circles in the triangular gap instead of one. Do we get a notion of continued fraction with binary strings instead of natural numbers? What's analogous to the modular group? -- Mike Stay - metaweta@gmail.com http://www.cs.auckland.ac.nz/~mike http://reperiendi.wordpress.com
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