Parametrized Toroid with 42 Faces
Parametrized Toroid with 42 Faces
This Demonstration shows a parametrized toroid with 42 faces. Looking down along the axis of symmetry, the larger and smaller concave heptagons have circumscribing circles of radius and 1, respectively. The vertical faces are double trapezoids with bases of length , (inner) and , (outer). This polyhedral toroid is colored so that it realizes the Heawood map.
r
2a
2b
2c
2d