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Contribution to Book
Mathematical analysis of truncated icosahedron & identical football
Applications of HCR's Theory of Polygon & HCR's formula for platonic solids (2014)
  • Harish Chandra Rajpoot Rajpoot, HCR
Abstract
All the important parameters of a truncated icosahedron such as normal distances & solid angles of the faces, inner radius, outer radius, mean radius, surface area & volume have been calculated by using HCR's formula for regular polyhedron. 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 depends on two parameters of any regular polyhedron as the no. of faces & the no. of edges in one face only. It is also used for finding out all the important parameters of a football similar to a truncated icosahedron. It can be used in analysis, designing & modelling of regular n-polyhedrons.
Keywords
  • how to calculate inner radius,
  • outer radius,
  • mean radius,
  • surface area,
  • volume of a truncated icosahedron & identical football
Publication Date
Winter December 19, 2014
Publisher Statement
Unique
Citation Information
Harish Chandra Rajpoot Rajpoot. "Mathematical analysis of truncated icosahedron & identical football" Applications of HCR's Theory of Polygon & HCR's formula for platonic solids (2014)
Available at: http://works.bepress.com/harishchandrarajpoot_hcrajpoot/17/