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Authors: Harish Chandra Rajpoot
All the articles discussed and analyzed in this work are related to the five Platonic solids. A geometrical problem involving a finite number of identical circles mutually touching one another on the entire surface of a sphere of given radius is considered. Using elementary geometric relations together with tabulated parameters corresponding to the five Platonic solids, all important quantities, including the flat radius and arc radius of each circle, the total surface area covered by the circles, and the percentage of spherical surface coverage, are systematically evaluated. The derived parameters are useful for accurately drawing identical circles on a spherical surface and for the design and modeling of the five Platonic solids with identical flat circular faces.
Comments: 13 Pages, 10 Figures, Original Research
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[v1] 2026-02-22 11:40:31
Unique-IP document downloads: 82 times
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