The pattern behind some of my pages is of a tessellaton of the Poincare
disk model of hyperbolic (or non-Euclidean) geometry.
The tessellation was discovered by Klein
and is associated with G, the (2,3,7) triangle
group, on which I have worked
.
Any pair of adjacent triangles in the figure give a fundamental
domain for G.
Many subgroups of G are clearly visible - for example
the central heptagon corresponds to a subgroup of index 7.
More tessellations can be found at this location. |