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Contribution to Book
Mathematical Analysis of Small Rhombicosidodecahedron (Archimedean solid) by H.C. Rajpoot
Applications of HCR's Theory of Polygon & HCR's formula for platonic solids (2015)
  • Harish Chandra Rajpoot Rajpoot, HCR
Abstract
All the important parameters of the small rhombicosidodecahedron (an Archimedean solid having 20 congruent equilateral triangular, 30 congruent square & 12 congruent regular pentagonal faces each of equal edge length) such as normal distances & solid angles subtended by the faces, inner radius, outer radius, mean radius, surface area & volume have been calculated by using HCR's formula for regular polyhedrons. This formula is a generalized dimensional formula which is applied on any of the five platonic solids i.e. reguler tetrahedron, regular hexahedron (cube), regular octahedron, regular dodecahedron & regular icosahedron to calculate their important parameters. It can also be used in analysis, designing & modelling of truncated polyhedrons.
Keywords
  • Small Rhombicosidodecahedron,
  • HCR's formula for platonic solids
Publication Date
Winter January 15, 2015
Publisher Statement
Exellent
Citation Information
Harish Chandra Rajpoot Rajpoot. "Mathematical Analysis of Small Rhombicosidodecahedron (Archimedean solid) by H.C. Rajpoot" Applications of HCR's Theory of Polygon & HCR's formula for platonic solids (2015)
Available at: http://works.bepress.com/harishchandrarajpoot_hcrajpoot/25/