The particular atomic packing scheme in the cluster was then specified by matching the experimental diffraction pattern with that calculated from a model polyhedron, using available information ...

and mathematicians also incorporate asymmetric patterns into faces of polyhedra. Chemists have constructed molecular polyhedra with vacant or highly symmetric faces, but very little is known about ...

A polygon is regular if it is uniform and its faces are all alike. The regular convex polyhedra are the five Platonic solids, which have been known since classical Greece. The ancient Greek ...

Besides the regular and semiregular solids, there are just ninety-two other convex polyhedra with regular faces. In 1966, the American mathematician Norman W. Johnson, a student of H.S.M. Coxeter at ...

The roundedness of the Goldberg polyhedra might make them more useful for applications where a spherical shape matters — say, for designing better patterns of dimples on a golf ball. The flat ...