x-y-z

p

a

b

p

a

b

Using ancoordinate system, the equations of the superspheres have been extended to describe intermediate shapes between a sphere and various convex polyhedra. Near-polyhedral shapes composed of {100}, {111} and {110} surfaces with round edges are treated in the present study, where {100}, {111} and {110} are the Miller indices of crystals with cubic structures. The three parametersandare included to describe the {100}-{111}-{110} near-polyhedral shapes, wheredescribes the degree to which the shape is a polyhedron andanddetermine the ratios of the {100}, {111} and {110} surfaces. View Full-Text