Versi-Regular Polyhedra

(box: x-ray)  (F: faces)  (slider: perspective)  (image: L=rotate R=zoom)  (M: metrics)
Please use a browser that supports "canvas"

(Uniform #62) Small Dodecahemicosahedron
Vertices:  30  (30[4])
Faces:22  (12 regular pentagrams + 10 regular hexagons)
Edges:60
Symmetry:  Full Icosahedral  (Ih)
Dihedral Angle:  acos(sqrt(15*(5−2*sqrt(5)))/15)    ≈79.187683036 degrees
Dual Solid:  Small Dodecahemicosacron
(values below based on edge length = 1)
Circumscribed Radius:  1
Midscribed Radius:  sqrt(3)/2    ≈0.86602540378443864676
Hexagon Center Radius:  0
Pentagram Center Radius:  sqrt(10*(5+sqrt(5)))/10    ≈0.85065080835203993218


References:[1]Jean Paul Albert Badoureau, Mémoire sur les Figures Isocèles,
Journal de l'École polytechnique 49 (1881), 47-172.