Greater Self-Dual Solids
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Self-Dual Icosioctahedron #2 (canonical)
Vertices:
28 (4[3] + 12[3] + 12[5])
Faces:
28 (4 equilateral triangles + 12 isosceles triangles
+ 12 mirror-symmetric pentagons)
Edges:
54 (12 short + 24 medium + 18 long)
Symmetry:
Full Tetrahedral (Td)
(values below based on edge-scribed radius = 1)
Short Edge (12):
12*sqrt(2)/35
≈0.48487322138506115959
Medium Edge (24):
10*sqrt(2)/21
≈0.67343502970147383276
Long Edge (18):
2*sqrt(2)/3
≈0.94280904158206336587
Max Vertex Radius:
sqrt(11)/3
≈1.1055415967851332830
Edge-scribed Radius:
1
Volume:
11048/2835
≈3.8970017636684303351