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)
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

Disciplines

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/