Euclidean Patterns in Non-Euclidean Tilings |
Euclidean Patterns in Non-Euclidean Tilings |
3-fold tree with edge-length arccosh(3).
Tile- and Vertex-1-transitive.
This 3-fold forest of trees projects onto the P surface to form an array of isolated cubic clusters. In the figure below, the edges have been lifted off the P surface and straightened.
On the G surface, this 3-fold forest gives two interpenetrating chiral +Y* nets. Each net has symmetry P4(1)32, but the structure as a whole is I4(1)32.
Projecting the forest onto the D surface we obtain four interpenetrating +Y* nets.
