You can see the hyperbolicity of the group from the curvature of the model. Or rather, you could if we were laying it flat in the picture. Photograph by Max Mikkelsen.
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This page is a collection of fun mathematical antics I've gotten up to. |
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A model of (part of) the Cayley graph of the triangle group
created by
Nelson Odins-Jones
(left) and myself (right), for a Geometric Group Theory assignment at
AMSI Summer School 2023.
You can see the hyperbolicity of the group from the curvature of the
model. Or rather, you could if we were laying it flat in the picture.
Photograph by
Max Mikkelsen.
Some (in fact, most) virtual knots, can't be drawn properly on the plane, but need a surface of positive genus. A simple example is the virtual knot , which requires a surface of genus at least 1 to be drawn. This makes it the perfect decoration for a donut or teacup (as pictured below).
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