Superspheres: Intermediate Shapes between Spheres and Polyhedra

Symmetry

关键词: supersphere;    particle;    precipitate;    materials science;    crystallography;   

DOI  :  10.3390/sym4030336

来源: mdpi

【 摘 要 】

Using an x-y-z coordinate 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 parameters p, a and b are included to describe the {100}-{111}-{110} near-polyhedral shapes, where p describes the degree to which the shape is a polyhedron and a and b determine the ratios of the {100}, {111} and {110} surfaces.

【 授权许可】

CC BY   
© 2012 by the authors; licensee MDPI, Basel, Switzerland.