Harish Chandra Rajpoot

[34] viXra:2604.0038 submitted on 2026-04-11 01:43:47 , (38 unique-IP downloads)

A General Framework for Hierarchical Ranking of Linear Permutations

Authors: Harish Chandra Rajpoot
Category: Algebra

[33] viXra:2603.0081 submitted on 2026-03-17 00:06:07 , (102 unique-IP downloads)

Dihedral and Solid Angles at the Apex of a Tetrahedron

Authors: Harish Chandra Rajpoot
Category: Geometry

[32] viXra:2603.0008 submitted on 2026-03-01 22:14:10 , (49 unique-IP downloads)

Solid Angle Subtended by a Circular Plane at an Arbitrary Point in Space

Authors: Harish Chandra Rajpoot
Category: Geometry

[31] viXra:2603.0007 submitted on 2026-03-01 22:13:48 , (72 unique-IP downloads)

Analytical Computation of the Area of a Spherical Triangle

Authors: Harish Chandra Rajpoot
Category: Geometry

[30] viXra:2603.0006 submitted on 2026-03-01 22:21:35 , (73 unique-IP downloads)

Mathematical Analysis of Regular Spherical Polygons

Authors: Harish Chandra Rajpoot
Category: Geometry

[29] viXra:2603.0005 submitted on 2026-03-02 01:18:20 , (67 unique-IP downloads)

Mathematical Analysis of an Icosidodecahedron

Authors: Harish Chandra Rajpoot
Category: Geometry

[28] viXra:2602.0129 submitted on 2026-02-22 11:36:40 , (71 unique-IP downloads)

Derivation of Great-Circle Distance Formula (Minimum Distance Between Any Two Points on Globe Given Latitude and Longitude)

Authors: Harish Chandra Rajpoot
Category: Geometry

[27] viXra:2602.0128 submitted on 2026-02-22 11:40:31 , (67 unique-IP downloads)

Arrangement of Identical Touching Circles on a Spherical Surface Associated with Platonic Solids

Authors: Harish Chandra Rajpoot
Category: Geometry

[26] viXra:2602.0127 submitted on 2026-02-22 11:44:26 , (65 unique-IP downloads)

Solid Angle Subtended by a Beam with Rectangular Profile Given Horizontal and Vertical Beam Angles

Authors: Harish Chandra Rajpoot
Category: Geometry

[25] viXra:2602.0126 submitted on 2026-02-22 11:47:06 , (47 unique-IP downloads)

Solid Angles Subtended by Archimedean Solids at Their Vertices

Authors: Harish Chandra Rajpoot
Category: Geometry

[24] viXra:2602.0125 submitted on 2026-02-22 11:49:33 , (49 unique-IP downloads)

Analytical Solutions for a Non-Uniform Tetradecahedron with Two Regular Hexagonal Faces and 12 Trapezoidal Faces

Authors: Harish Chandra Rajpoot
Category: Geometry

[23] viXra:2602.0124 submitted on 2026-02-22 11:54:14 , (67 unique-IP downloads)

Mathematical Analysis of a Tetrahedron: Dihedral Angles Between Consecutive Faces and Solid Angle at Its Vertex Given the Apex Angles

Authors: Harish Chandra Rajpoot
Category: Geometry

[22] viXra:2602.0123 submitted on 2026-02-22 11:57:20 , (107 unique-IP downloads)

Solid Angles Subtended by the Platonic Solids (Regular Polyhedrons) at Their Vertices

Authors: Harish Chandra Rajpoot
Category: Geometry

[21] viXra:2602.0122 submitted on 2026-02-22 12:00:13 , (59 unique-IP downloads)

Mathematical Analysis of Spherical Rectangle

Authors: Harish Chandra Rajpoot
Category: Geometry

[20] viXra:2602.0119 submitted on 2026-02-22 21:45:57 , (57 unique-IP downloads)

Geometric Analysis of a Spherical Triangle

Authors: Harish Chandra Rajpoot
Category: Geometry

[19] viXra:2602.0106 submitted on 2026-02-20 20:04:49 , (58 unique-IP downloads)

Mathematical Analysis of a Great Rhombicuboctahedron

Authors: Harish Chandra Rajpoot
Category: Geometry

[18] viXra:2602.0105 submitted on 2026-02-20 20:04:30 , (62 unique-IP downloads)

Mathematical Analysis of a Great Rhombicosidodecahedron

Authors: Harish Chandra Rajpoot
Category: Geometry

[17] viXra:2602.0047 submitted on 2026-02-05 23:06:15 , (99 unique-IP downloads)

A New Polyhedron Obtained by Truncation of Rhombic Dodecahedron

Authors: Harish Chandra Rajpoot
Category: Geometry

[16] viXra:2602.0046 submitted on 2026-02-05 23:11:58 , (79 unique-IP downloads)

Mathematical Analysis of Rhombic Dodecahedron Using Theory of Polygon

Authors: Harish Chandra Rajpoot
Category: Geometry

[15] viXra:2602.0045 submitted on 2026-02-05 23:17:43 , (71 unique-IP downloads)

Analytical Study of the Rhombicuboctahedron Using the Theory of Polygon

Authors: Harish Chandra Rajpoot
Category: Geometry

[14] viXra:2602.0044 submitted on 2026-02-05 23:22:30 , (107 unique-IP downloads)

Mathematical Analysis and Modeling of Pyramidal Containers, Right Pyramids, and Related Polyhedra

Authors: Harish Chandra Rajpoot
Category: Geometry

[13] viXra:2602.0043 submitted on 2026-02-06 00:08:09 , (83 unique-IP downloads)

Two Mathematical Proofs of Bond Angle in a Regular Tetrahedral Structure

Authors: Harish Chandra Rajpoot
Category: Geometry

[12] viXra:2602.0042 submitted on 2026-02-06 00:14:36 , (68 unique-IP downloads)

Mathematical Analysis of Non-Uniform Polyhedra with Two Regular N-Gonal Faces and 2n Trapezoidal Faces Inscribed in a Sphere

Authors: Harish Chandra Rajpoot
Category: Geometry

[11] viXra:2602.0041 submitted on 2026-02-06 00:17:57 , (84 unique-IP downloads)

Mathematical Derivations of Inscribed & Circumscribed Radii for Three Externally Tangent Circles

Authors: Harish Chandra Rajpoot
Category: Geometry

[10] viXra:2602.0040 submitted on 2026-02-06 00:20:43 , (79 unique-IP downloads)

Mathematical Analysis of Trapezohedron/deltohedron Having 2n Congruent Right Kite Faces

Authors: Harish Chandra Rajpoot
Category: Geometry

[9] viXra:2602.0039 submitted on 2026-02-06 00:26:58 , (71 unique-IP downloads)

Mathematical Analysis of Spheres at Polyhedral Vertices, Face Filleting, and Sphere Packing in Right Pyramids and Platonic Solids

Authors: Harish Chandra Rajpoot
Category: Geometry

[8] viXra:2602.0037 submitted on 2026-02-06 19:53:44 , (151 unique-IP downloads)

Mathematical Analysis of Disphenoid (Isosceles Tetrahedron)

Authors: Harish Chandra Rajpoot
Category: Geometry

[7] viXra:2602.0022 submitted on 2026-02-03 11:26:38 , (153 unique-IP downloads)

Dihedral Angles Between the Polygonal Faces in Various Regular & Uniform Polyhedra: Platonic and Archimedean Solids

Authors: Harish Chandra Rajpoot
Category: Geometry

[6] viXra:2602.0021 submitted on 2026-02-03 21:00:09 , (91 unique-IP downloads)

Solid Angle of Torus on Normal Geometrical Axis Using [a] Method of Concentric Cones

Authors: Harish Chandra Rajpoot
Category: Geometry

[5] viXra:2601.0085 submitted on 2026-01-21 23:21:49 , (338 unique-IP downloads)

[ a New] Theorem for Dihedral Angles in a Regular N-Gonal Right Pyramid

Authors: Harish Chandra Rajpoot
Category: Geometry

[4] viXra:2512.0119 submitted on 2025-12-26 00:02:27 , (157 unique-IP downloads)

Simplified Master Formula for a Right Triangular Plane and Solid-Angle Corollaries in the Theory of Polygon

Authors: Harish Chandra Rajpoot
Category: Geometry

[3] viXra:2305.0150 submitted on 2023-05-23 01:38:23 , (589 unique-IP downloads)

Regular N-gonal Right Antiprism: Application of HCR’s Theory of Polygon

Authors: Harish Chandra Rajpoot
Category: Geometry

[2] viXra:2208.0109 submitted on 2022-08-19 18:37:38 , (187 unique-IP downloads)

Mathematical Analysis of 2D Packing of Circles on Bounded and Unbounded Planes: Analytic Formulation and Simulation

Authors: Harish Chandra Rajpoot
Category: Geometry

[1] viXra:2104.0039 submitted on 2021-04-08 17:26:13, (288 unique-IP downloads)

HCR's Theorem

Authors: Harish Chandra Rajpoot
Category: Geometry