Contribution to Book
Mathematical Analysis of Truncated Dodecahedron by H.C. RajpootApplications of HCR's Theory of Polygon & HCR's formula for platonic solids (2014)
AbstractAll 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 of truncated polyhedrons.
- All the important parameters of a truncated dodecahedron are calculated by using HCR's Theory of Polygon
Publication DateWinter December 26, 2014
Citation InformationHarish Chandra Rajpoot Rajpoot. "Mathematical Analysis of Truncated Dodecahedron by H.C. Rajpoot" Applications of HCR's Theory of Polygon & HCR's formula for platonic solids (2014)
Available at: http://works.bepress.com/harishchandrarajpoot_hcrajpoot/18/