# 1801 presentation(s) on 'hcrs formula'

Subscribe to HCR's Formula for Regular n-Polyhedrons (Platonic Solids) This formula was derived by H.C. Rajpoot to calculate all the important parameters of a regular n-polyhedron such as inner radius, outer radius, mean radius, surface area & volume. This formula is a generalized dimensional formula which can be applied on any existing n-polyhedron since it depends on two parameters of any regular polyhedron as the no. of faces & the no. of edges in one face only. It can be used in analysis, designing & modelling of regular n-polyhedrons. Tags: 79 Views Science & Technology 62 months ago Analysis of all five platonic solids using HCR's generalized formula All the important parameters i.e. inner radius, outer radius, mean radius, surface area & volume of all five platonic solids i.e. regular tetrahedron, regular hexahedron (cube), regular octahedron, regular dodecahedron & regular icosahedron have been calculated by using HCR's generalized formula for regular polyhedrons. Tags: 51 Views Science & Technology 62 months ago Mathematical Analysis of Cuboctahedron/Archimedean solid by HCR All the important parameters of a cuboctahedron (Archimedean solid having 8 congruent equilateral triangular & 6 congruent square faces each of equal edge length) such as normal distances & solid angles subtended by the faces, inner radius, outer radius, mean radius, surface area & volume have been calculated by using HCR's formula for regular polyhedrons. This formula is a generalized dimensional formula which is applied on any of the five platonic solids i.e. reguler tetrahedron, regular hexahedron (cube), regular octahedron, regular dodecahedron & regular icosahedron to calculate their important parameters. It can also be used in analysis, designing & modelling of truncated polyhedrons. Tags: 76 Views Education 61 months ago HCR's Hand Book (Formula of Advanced Geometry) All the standard formula from 'Advanced Geometry' by the author Mr H.C. Rajpoot have been included in this book. These formula are related to the solid geometry dealing with the 2-D & 3-D figures in the space & miscellaneous articles in Trigonometry & Geometry. These are useful the standard formula to be remembered for case studies & practical applications. Although, all the formula for the plane figures (i.e. planes bounded by the straight lines only) can be derived by using standard formula of right triangle that has been explained in details in "HCR's Theory of Polygon" published with International Journal of Mathematics & Physical Sciences Research in Oct, 2014.And the analysis of oblique frustum of right circular cone has been explained in his research paper 'HCR's Infinite-series' published with IJMPSR Tags: 56 Views Science & Technology 63 months ago All the important parameters of cuboctahedron/Archimedean solid by HCR Table of all the important parameters of a cuboctahedron (Archimedean solid having 8 congruent equilateral triangular & 6 congruent square faces each of equal edge length) such as normal distances & solid angles subtended by the faces, inner radius, outer radius, mean radius, surface area & volume calculated by using HCR's formula for regular polyhedrons. It can be used in analysis, designing & modelling of polyhedrons. 80 Views Education 61 months ago Mathematical Analysis of Truncated Dodecahedron (HCR's formula) All the important parameters of a truncated dodecahedron (having 20 congruent equilateral triangular & 12 congruent regular decagonal faces each of equal edge length) such as normal distances & solid angles subtended by the faces, inner radius, outer radius, mean radius, surface area & volume have been calculated by using HCR's formula for regular polyhedrons. This formula is a generalized dimensional formula which is applied on any of the five platonic solids i.e. reguler tetrahedron, regular hexahedron (cube), regular octahedron, regular dodecahedron & regular icosahedron to calculate their important parameters. It can also be used in analysis, designing & modelling of truncated polyhedrons. Tags: 51 Views Education 61 months ago HCR's Rank Formula-2 to calculate rank of any linear permutation This formula was derived by H.C. Rajpoot to calculate rank of any linear permutation when repetition of articles is allowed. HCR’s Formula can be applied to calculate the rank of any linear permutation when the repetition of the articles (like digits, letters & all other objects having different shape, size, colour & other aesthetic quality) is allowed. 50 Views Science & Technology 62 months ago Mathematical Analysis of Small Rhombicuboctahedron by HCR All the important parameters of a small rhombicuboctahedron (an Archimedean solid having 8 congruent equilateral triangular & 18 congruent square faces each of equal edge length) such as normal distances & solid angles subtended by the faces, inner radius, outer radius, mean radius, surface area & volume have been calculated by using HCR's formula for regular polyhedrons. This formula is a generalized dimensional formula which is applied on any of the five platonic solids i.e. reguler tetrahedron, regular hexahedron (cube), regular octahedron, regular dodecahedron & regular icosahedron to calculate their important parameters. It can also be used in analysis, designing & modelling of truncated polyhedrons. Tags: 51 Views Education 60 months ago Mathematical Analysis of Small Rhombicosidodecahedron by HCR All the important parameters of the small rhombicosidodecahedron (an Archimedean solid having 20 congruent equilateral triangular, 30 congruent square & 12 congruent regular pentagonal faces each of equal edge length) such as normal distances & solid angles subtended by the faces, inner radius, outer radius, mean radius, surface area & volume have been calculated by using HCR's formula for regular polyhedrons. This formula is a generalized dimensional formula which is applied on any of the five platonic solids i.e. reguler tetrahedron, regular hexahedron (cube), regular octahedron, regular dodecahedron & regular icosahedron to calculate their important parameters. It can also be used in analysis, designing & modelling of truncated polyhedrons. Tags: 76 Views Education 61 months ago Mathematical Analysis of Icosidodecahedron by HCR All the important parameters of an icosidodecahedron (having 20 congruent equilateral triangular & 12 congruent regular pentagonal faces each of equal edge length) such as normal distances & solid angles subtended by the faces, inner radius, outer radius, mean radius, surface area & volume have been calculated by using HCR's formula for regular polyhedrons. This formula is a generalized dimensional formula which is applied on any of the five platonic solids i.e. reguler tetrahedron, regular hexahedron (cube), regular octahedron, regular dodecahedron & regular icosahedron to calculate their important parameters. It can also be used in analysis, designing & modelling of truncated polyhedrons. Tags: No tags for this presentation 55 Views Education 61 months ago 