Skip to main content
Article
HCR's Formula for N-gonal Trapezohedron (Mathematical Analysis of trapezohedron/deltohedron having 2n congruent right kite faces, 4n edges & 2n+2 vertices lying on a spherical surface )
Applications of HCR's Theory of Polygon (2015)
  • Harish Chandra Rajpoot Rajpoot, HCR
Abstract
The author Mr H. C. Rajpoot has deived the generalized formula that are equally applicable on any n-gonal trapezohedron 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 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 analytically compute 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 n-gonal trapezohedrons/deltohedrons.
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
Extraordinary
Creative Commons license
Creative Commons License
This work is licensed under a Creative Commons CC_BY-NC International License.