About

In the ancient world, when mathematics was not much advanced, it was not too difficult to develop concepts and derive theorems and formulas, but due to advancement in mathematical research, it is rather difficult, but not impossible, to invent new concepts, formulas, or theories in the field of Mathematics in the present scenario. Although it was his dream to find out some extraordinary things in the field of Mathematics, as it was his interesting subject. He was very interested in Algebra, Geometry, Trigonometry, Calculus & Theoretical Physics since his early education, especially in Intermediate. He was not exactly sure what was to discover, existing or non-existing, even in the 21st century, but he made up his mind to derive an extraordinary analytic formula in Mathematics which had never been thought by any mathematician till he completed his intermediate in 2009-2010. Really, he was much interested in deriving new concepts & formulas rather than solving the existing problems of Mathematics & Physics, although he wasn't sure about anything but insisted on discovering something extraordinary, fond of dealing with the concepts, derivations & complex formulas, causing him to go through the fundamentals with his own efforts, especially in Mathematics. However, he is highly enthusiastic & valiant for new findings in Mathematics & never cares about it, leading to any failure. He always likes to think freely about creating new concepts & formulas. He is open-minded, free-minded & so adventurous that no failure can dispirit him even a bit. However, in case of any failure, he simply changes his way of thinking & way of working to achieve his goal.    

Mr Rajpoot belongs to a middle-class family living in a rural village, Buraura, in the district of Mahoba, Uttar Pradesh, India. In 2005, he passed his 8th class exam from Sardar Patel Junior High School, Kilhauwa (nearer to his village in Mahoba district), and he got admission to D.A.V. Govt. Inter College (UP, Board) in the district of Mahoba (a historical place of ancient warriors) in 2006.

Unfortunately, he became seriously sick a few weeks before his exam & had to drop out of 11th class in 2007. After recovering, his father took him to Kanpur, where he got admission to Oxford Model Inter College (Hindi Medium, UP Board), Kanpur in 2008. He learnt a lot of things from his well-experienced teachers & got into a better environment with CBSE students in the college hostel. It helped him very much to interact & communicate with the CBSE students in the English language. Thus, with his own efforts, he, being a Hindi Medium student, learnt many a concept of Mathematics & Physics from the NCERT books of English Medium from his classmates and hostel mates. He became the favorite student of his teacher of Physics, Mr Upendra Sir, who mentored & helped him a lot in his studies at the college as well as at his home & encouraged him to do the best. He was appreciated for his better performance in Physics & Mathematics by his teachers, principal & manager of the college. Therefore, being inspired & encouraged, he developed a great interest & decided to conduct research in the field of Mathematics & Physics on his own efforts. Although he was less interested in games & sports, he used to utilize most of his free time in Mathematical derivations, estimations/analysis & creating new concepts in Physics. He was deeply fascinated by Lambert's cosine formula in Photometry, dealing with luminous flux density over a plane surface, in the 12th class. He observed that Lambert's formula needed improvement since it was not giving accurate results in each case. He then decided to modify it in the future as he was unable to actually understand & apply the concept of 'Solid Angle'. Although the concept of 'Solid Angle' deeply inspired him for research in 3-D Geometry & then to apply it in Photometry to modify Lambert's formula to give mathematically correct results for 2-D & 3-D figures.       

After passing his Intermediate in 2009, he went to Kanpur for preparation of Engineering exams, where he, as a result of deep studies, derived a concept of finding out the hierarchical ranks of linear permutations like alphabetic words, numbers & other permutations of non-algebraic articles in 2010. He had to close his research files before his engineering exams. As a result, he got admission to Madan Mohan Malaviya Engineering College (at present M.M.M. University of Technology), Gorakhpur-273010 (UP), India in August 2010.

Being inspired by his teachers & elder brother, Dr. Chandra Shekhar Rajpoot (MBBS), he started to write his first educational book on Geometry. He included all his research articles on Geometry, Trigonometry & Radiometry in this book, which was first published in March 2014 by Notion Press, Chennai, India. Then he modified his formula to apply it to all the linear permutations of certain algebraic & non-algebraic articles, as well as on the circular permutations under certain conditions. As a result, using his formula, he proved that the factorial of any natural number can be expanded as the sum of finite terms of the first natural numbers multiplied by their own factorials. He correlated all the linear permutations of alphabetic letters & digits to those of the various articles having different shape, size, color, surface-design, etc., for ease of understanding. He proposed the "Theory of Polygon" used to calculate the solid angle subtended by any polygonal plane at any point in space. Using his own theory, he derived the simplest & most versatile formula for all five Platonic solids to calculate all the important parameters. This is entitled "HCR's Formula for Platonic Solids". Although he didn't have any idea about Euler's formula for platonic solids. Using his theory & formula, he analyzed Archimedean solids, Goldberg polyhedra & various truncated & expanded polyhedra. He generalized & tabulated the various important parameters of regular & uniform polyhedra. He also derived 'the Theorem of Rotation' for the rotation of two co-planes about their common edge for mathematical modeling of pyramidal flat containers.    

His rank formula, proven as the greatest logical formula which is universal for linear as well as circular permutations in the field of Algebra, was published in the International Journal of Mathematics & Physical Sciences Research (www.resarchpublish.com  Manuscript ID: 004022014A). He posted thousands of answers in Mathematics and Physics on various public platforms such as Socratic, Brilliant, Quora, Brainly, Math Stack Exchange, and Physics Stack Exchange. 

He, with 19 team members of his class, made an ATV (All-terrain vehicle) for the first time at his college, M.M.M.E.C., since its establishment in 1962 & participated in an Auto Competition (at National Level) held @ Indore in 2013. He completed his graduation in Mechanical Engineering (Hons) in 2014 & he is continuously making his best contributions in the field of mathematics, especially in Geometry, Algebra & Radiometry (mathematical analysis). He received his master's degree in Production Engineering from the Indian Institute of Technology Delhi. He is currently studying for a Ph.D. at the Indian Institute of Technology Bombay.