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Geometry |
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Authors: Harish Chandra Rajpoot
The generalized formula, derived here, 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 Mr H.C. Rajpoot to analyse infinite no. of the trapezohedrons having congruent right kite faces simply by setting n=3,4,5,6,7,u2026u2026u2026u2026u2026u2026upto 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.
Comments: 19 Pages, 8 Figures
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[v1] 2026-02-06 00:20:43
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