Higher Genus Toroidal Solids
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Heptagonal Dodecahedron
(type A)
(C3-symmetric form 3)
form 3
Vertices:
28 (28[3])
Faces:
12 ({3 * 4} nonconvex heptagons)
Edges:
42 (12 different lengths)
Symmetry:
3-fold Cyclic (C3)
(values below based on integer coordinates)
Edge 1 (3):
sqrt(2)
≈1.4142135623730950488
Edge 2 (3):
sqrt(3)
≈1.73205080756887729353
Edge 3 (3):
sqrt(5)
≈2.2360679774997896964
Edge 4 (6):
2*sqrt(2)
≈2.8284271247461900976
Edge 5 (6):
4
Edge 6 (3):
3*sqrt(2)
≈4.2426406871192851464
Edge 7 (3):
2*sqrt(6)
≈4.8989794855663561964
Edge 8 (3):
5
Edge 9 (3):
3*sqrt(3)
≈5.1961524227066318806
Edge 10 (3):
sqrt(35)
≈5.9160797830996160426
Edge 11 (3):
7*sqrt(2)
≈9.8994949366116653416
Edge 12 (3):
12*sqrt(2)
≈16.970562748477140586
Volume:
575/2
287.5