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Mathematical Analysis of Uniform Polyhedron (Trapezohedron) having 2n congruent right kite faces, 4n edges & 2n+2 vertices lying on a spherical surface by H.C. Rajpoot)
Applications of HCR's Theory of Polygon (2015)
  • Harish Chandra Rajpoot Rajpoot, HCR
Abstract
The generalized formula are applicable on any uniform polyhedron having 2n congruent right kite faces, 4n edges & 2n+2 vertices lying on a spherical surface with a certain radius. These formula have been derived by the author Mr H.C. Rajpoot to analyse infinite no. of the uniform polyhedrons having congruent right kite faces simply by setting n=3,4,5,6,7,………………upto infinity, to calculate all the important parameters such as ratio of unequal edges, outer radius, inner radius, mean radius, surface area, volume, solid angles subtended by the polyhedron at its vertices, dihedral angles between the adjacent right kite faces etc. These formula are very useful for the analysis, modeling & designing of various uniform polyhedrons.
Keywords
  • All the important parameters of uniform polyhedron with right kite faces are calculated by using HCR's Theory of Polygon
Publication Date
Summer April 6, 2015
Publisher Statement
Unique
Citation Information
Harish Chandra Rajpoot Rajpoot. "Mathematical Analysis of Uniform Polyhedron (Trapezohedron) having 2n congruent right kite faces, 4n edges & 2n+2 vertices lying on a spherical surface by H.C. Rajpoot)" Applications of HCR's Theory of Polygon (2015)
Available at: http://works.bepress.com/harishchandrarajpoot_hcrajpoot/43/