The author has derived the radius of circumscribed sphere passing through all 24 identical vertices of a rhombicuboctahedron with given edge length applying ‘HCR’s Theory of Polygon’ & subsequently derived various formula to analytically compute the normal distances of equilateral triangular & square faces from the centre of rhombicuboctahedron, radius of mid-sphere, surface area, volume, solid angles subtended by each equilateral triangular face & each square face at the centre by using ‘HCR’s Theory of Polygon’, dihedral angle between each two faces meeting at any of 24 identical vertices (i.e. truncated rhombic dodecahedron), solid angle subtended by truncated rhombic dodecahedron at any of its 24 identical vertices.
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] 