Higher Genus Toroidal Solids
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Heptagonal Dodecahedron
(type A)
(S4-symmetric form 1)
form 1
Vertices:
28 (28[3])
Faces:
12 ({(2 * 2) * 3} nonconvex heptagons)
Edges:
42 (9 different lengths)
Symmetry:
2-fold Rotoreflection (S4)
(values below based on integer coordinates)
Edge 1 (4):
sqrt(6)
≈2.4494897427831780982
Edge 2 (8):
2*sqrt(2)
≈2.8284271247461900976
Edge 3 (4):
3*sqrt(2)
≈4.2426406871192851464
Edge 4 (4):
2*sqrt(6)
≈4.8989794855663561964
Edge 5 (8):
4*sqrt(2)
≈5.6568542494923801952
Edge 6 (4):
6*sqrt(2)
≈8.4852813742385702928
Edge 7 (4):
5*sqrt(6)
≈12.247448713915890491
Edge 8 (4):
13*sqrt(2)
≈18.384776310850235634
Edge 9 (2):
8*sqrt(10)
≈25.298221281347034656
Volume:
2608/3
≈869.33333333333333333