W. Neumann et J. Komrska, CRYSTAL SHAPE AMPLITUDES OF PLATONIC POLYHEDRA .2. THE REGULAR PENTAGONAL DODECAHEDRON AND THE ICOSAHEDRON, Physica status solidi. a, Applied research, 150(1), 1995, pp. 113-126
The symmetry relations of crystal shape amplitudes of the regular pent
agonal dodecahedron and the icosahedron are studied. Graphs of the cen
tral cross-sections of the crystal shape amplitudes of these noncrysta
llographic polyhedra are calculated along the twofold, threefold, and
fivefold symmetry axes. In addition, computer simulated crystal shape
factor maps are represented for these main symmetry directions.