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Mathematical analysis of uniform polyhedra having 2 congruent regular n-gonal faces, 2n congruent trapezoidal faces, 5n edges & 3n vertices lying on a spherical surface (Generalized Formula by H.C. Rajpoot)
Applications of HCR's Theory of Polygon (2015)
  • Harish Chandra Rajpoot Rajpoot, HCR
Abstract
All the formula have been generalized by the author which are applicable to calculate the important parameters, of any uniform polyhedron having 2 congruent regular n-gonal faces, 2n congruent trapezoidal faces each with three equal sides, 5n edges & 3n vertices lying on a spherical surface, such as solid angle subtended by each face at the centre, normal distance of each face from the centre, inner radius, outer radius, mean radius, surface area & volume. These are useful for analysis, designing & modeling of different uniform polyhedra.
Publication Date
Winter March 13, 2015
Publisher Statement
Unique
Citation Information
Harish Chandra Rajpoot Rajpoot. "Mathematical analysis of uniform polyhedra having 2 congruent regular n-gonal faces, 2n congruent trapezoidal faces, 5n edges & 3n vertices lying on a spherical surface (Generalized Formula by H.C. Rajpoot)" Applications of HCR's Theory of Polygon (2015)
Available at: http://works.bepress.com/harishchandrarajpoot_hcrajpoot/36/