Other Solids

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Bilinski's Dodecahedron
Vertices:  14  (4[3] + 4[3] + 4[4] + 2[4])
Faces:12  (rhombi)
Edges:24  (equal length)
Symmetry:  2-fold Prismatic  (D2h)
Dihedral Angle 1 (4):  acos((sqrt(5)−1)/4)    72 degrees
Dihedral Angle 2 (8):  acos(−(sqrt(5)−1)/4)    108 degrees
Dihedral Angle 3 (12):  acos(−(1+sqrt(5))/4)    144 degrees
The dual has the same polyhedral graph as the Cuboctahedron
(values below based on edge length = 1)
Rhombus Length:  sqrt(10*(5+sqrt(5)))/5    ≈1.7013016167040798644
Rhombus Width:  sqrt(10*(5−sqrt(5)))/5    ≈1.0514622242382672121
Volume:4*sqrt(5+2*sqrt(5))/5    ≈2.4621468297402027221


References:[1]Stanko Bilinski, Über die Rhombenisoeder, Glasnik Mat.-Fiz.
Astronom. Društvo Mat. Fiz. Hrvatske Ser. II
15 (1960), 251-262.