Adventures Among the Toroids: A Study of Quasi-convex, Aplanar, Tunneled Orientable Polyhedra of Positive Genus Having Regular Faces with Disjoint Interiors ... |
Contents
I | 3 |
CARDBOARD RUBBER BAND METHOD | 19 |
SIMPLEST_RAQT TOROIDS of genus | 27 |
Copyright | |
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A₁ a₂ accordion altitude antiprism aplanar toroid Archimedean B₁ b₂ Bilunabirotunda central colors configuration construct continued convex closure copies corresponding counting crossing point cupola decagonal faces deltahedra dihedral angle dodecahedron entrances equilateral triangles Euler's Theorem example excavations exterior F₁ F₂ figure Frobenius Frobenius formula gyrated Hence hexagonal prisms hole independent tunnels joining K-world K₁ knot manifold midpoints non-convex non-orientable notation number of faces obtain orientation P₁ pentagonal cupola pentagonal faces pentagonal pyramid pentagonal rotunda plane polygon polyhedra polyhedron preceding exercise projection property Q pyramid quasi-convex R₁ R₂ reference cube region regular regular-faced ring s-gon S₁ Schlegel diagram square faces tesselation top view toroid of genus triangular cupola triangular faces truncated truncated icosahedron truncated icosidodecahedron unit edge vertex vertices