
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:
Analysis , HCR , Platonic , Solids , Using
By:
harishchandraraj
Science & Technology
62 months ago
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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:
Analysis , Archimedea , Cuboctahedron , HCRs Formula , Mathematical
By:
harishchandraraj
Education
61 months ago
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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 2D & 3D 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 Infiniteseries' published with IJMPSR
Tags:
Advanced , Book , Geometry , Hand , HCR
By:
harishchandraraj
Science & Technology
63 months ago
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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:
Analysis , Dodecahedron , Mathematical , Truncated
By:
harishchandraraj
Education
61 months ago
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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:
Analysis , HCR , Mathematical , Rhombicuboctahedron , Small
By:
harishchandraraj
Education
60 months ago
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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:
Analysis , HCR , HCRsTheory , Mathematical , Smallrhombicosidodecahedron
By:
harishchandraraj
Education
61 months ago
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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.
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By:
harishchandraraj
Education
61 months ago
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