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2014

All the important parameters of a truncated dodecahedron are calculated by using HCR's Theory of Polygon

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Mathematical Analysis Of Truncated Dodecahedron By H.C. Rajpoot, Harish Chandra Rajpoot Rajpoot Hcr Dec 2014

Mathematical Analysis Of Truncated Dodecahedron By H.C. Rajpoot, Harish Chandra Rajpoot Rajpoot Hcr

Harish Chandra Rajpoot H.C. Rajpoot

All the important parameters of a truncated dodecahedron (having 20 congruent equilateral triangular & 12 congruent regular decagonal 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 …