The author H C Rajpoot has mathematically analysed & derived analytic formula for a rhombic dodecahedron having 12 congruent faces each as a rhombus, 24 edges & 14 vertices lying on a spherical surface with a certain radius. ‘HCR’s Theory of Polygon’ is used to derive formula to analytically compute the angles & diagonals of rhombic face, radii of circumscribed sphere, inscribed sphere & midsphere, surface area & volume of rhombic dodecahedron in terms of edge length, solid angles subtended at the vertices and dihedral angle between adjacent faces. This convex polyhedron can be constructed by joining 12 congruent elementary-right pyramids with rhombic base & certain normal height.
He is studying for a PhD at Indian Institute of Technology Bombay. He received Master's degree (Hons) in Production Engineering from Indian Institute of Technology Delhi.
He received Bachelor's degree (Hons) in Mechanical Engineering from M.M.M. Engineering College Gorakhpur (UP), India.
He has passion for Mathematics specifically Geometry, Trigonometry, Algebra and Photometry in Mathematical Physics. He made independent researches in Mathematics over three years and proposed 'Theory of Polygon' for solid angle. He derived numerous formula & results and made remarkable contribution to Mathematics specifically Geometry.
His areas of interest in Production Engineering are Laser Material Processing, Laser Machining, Smart Manufacturing, Modeling and Simulation in Manufacturing.
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H. C. Rajpoot [PhD, IITB] 