Non-Regular Toroidal Solids
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Octagonal Iris Toroid
Vertices:
16 (16[5])
Faces:
24 (8 squares + 16 obtuse triangles)
Edges:
40 (24 short + 8 medium + 8 long)
Symmetry:
8-fold Dihedral (D8)
Dihedral Angle 1 (8):
acos((7+4*sqrt(2))/17)
≈41.882040944 degrees
Dihedral Angle 2 (16):
acos(sqrt(34*(5−2*sqrt(2)))/17)
≈59.6388065952 degrees
Dihedral Angle 3 (8):
acos(−sqrt(2)/2)
135 degrees
Dihedral Angle 4 (8):
acos((3+9*sqrt(2))/17)
≈337.694288208 degrees
(values below based on short edge length = 1)
Short Edge (24):
1
Medium Edge (8):
sqrt(3+sqrt(2))
≈2.1010029896154586502
Long Edge (8):
sqrt(2*(2+sqrt(2)))
≈2.6131259297527530557
Volume:
2*(2+sqrt(2))/3
≈2.2761423749153966992