Reflection;
Inversion
| Whereas there is only one regular triangle (all
angles of 60 degrees) in Euclidean geometry, in hyperbolic space we can
have all values of the equal angles ranging from 0 (the trebly asymptotic
triangle again) to a value approaching 60 degrees (though never reaching
this of course.)
Move the points marked M to see this. This fact has consequences when it comes to tiling the hyperbolic plane with regular triangles. |
Sum of interior anglesReflection;
Inversion
Back
to Contents