Regular Hexagonal Toroidal Solids
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Regular Hexagonal Toroid with 9 faces
(type A)
(triangular form)
triangular form
Vertices:
18 (18[3])
Faces:
9 ({6 + 3} nonconvex hexagons)
Edges:
27 (4 different lengths)
Symmetry:
3-fold Dihedral (D3)
Dihedral Angle 1 (6):
acos(sqrt(2)/2)
45 degrees
Dihedral Angle 2 (3):
acos(1/2)
60 degrees
Dihedral Angle 3 (12):
acos(0)
90 degrees
Dihedral Angle 4 (6):
acos(0)
270 degrees
Dual Toroid:
Regular Triangular Toroid with 18 faces (type A)
(values below based on short edge length = 2)
Edge 1 (12):
2
Edge 2 (6):
4*sqrt(2)
≈5.6568542494923801952
Edge 3 (6):
8
Edge 4 (3):
6*sqrt(3)
≈10.392304845413263761
Volume:
120 [EXACT]