The bitruncation of the pentachoron (5-cell) results in a polychoron composed of 10 truncated tetrahedra. When the triangular faces are removed, the remaining 20 hexagons form a closed surface. This surface is hyperbolic with 4 hexagons meeting at a vertex. Topologically it is a torus with 6 handles. The 4-dimensional rotations takes us to 5 different cells, each of its own color.