Deltoidal dodecahedron Rhombic dodecahedron

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example net (3/4,3/2)


another topologically equivalent variation, called deltoidal dodecahedron or trapezoidal dodecahedron, isohedral tetrahedral symmetry order 24, distorting rhombic faces kites (deltoids). has 8 vertices adjusted in or out in alternate sets of 4, limiting case tetrahedral envelope. variations can parametrized (a,b), b determined planar faces. (1,1) rhombic solution. (a) approaches 1/2, (b) approaches infinity.



(±2, 0, 0), (0, ±2, 0), (0, 0, ±2)
(a, a, a), (−a, −a, a), (−a, a, −a), (a, −a, −a)
(−b, −b, −b), (−b, b, b), (b, −b, b), (b, b, −b)








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