1. Superspheres: Intermediate Shapes between Spheres and Polyhedra.
- Author
-
Onaka, Susumu
- Subjects
- *
POLYHEDRA , *PIECEWISE linear topology , *GEOMETRIC shapes , *SOLID geometry , *TOPOLOGY , *PLATONIC solids - Abstract
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. [ABSTRACT FROM AUTHOR]
- Published
- 2012
- Full Text
- View/download PDF