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Superspheres: Intermediate Shapes between Spheres and Polyhedra.
- Source :
-
Symmetry (20738994) . Sep2012, Vol. 4 Issue 3, p336-343. 8p. 1 Black and White Photograph, 5 Diagrams, 1 Graph. - Publication Year :
- 2012
-
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]
Details
- Language :
- English
- ISSN :
- 20738994
- Volume :
- 4
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Symmetry (20738994)
- Publication Type :
- Academic Journal
- Accession number :
- 80917559
- Full Text :
- https://doi.org/10.3390/sym4030336