Table of solid angles subtended by Archimedean solids by HCR
Table of solid angles subtended at the vertices by all 13 Archimedean solids (uniform polyhedrons) calculated by the author Mr H.C. Rajpoot by using standard formula of solid angle & formula of tetrahedron. These are the standard values of solid angles which are useful for the analysis of all 13 Archimedean solids truncated tetrahedron, truncated hexahedron (cube), truncated octahedron, truncated dodecahedron, truncated icosahedron, cuboctahedron, icosidodecahedron, small rhombicuboctahedron, small rhombicosidodecahedron, snub cube, snub dodecahedron, great rhombicuboctahedron & great rhombicosidodecahedron.
Tags:
Angles , Archimedean , HCR , Polyhedrons , Solid
By:
harishchandraraj
Education
58 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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All the important parameters of a snub dodecahedron by HCR
Table of the important parameters of a snub dodecahedron (an Archimedean solid having 80 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 calculated by using HCR's Theory of Polygon & NewtonRaphson Method. It can be used in analysis, designing & modelling of uniform polyhedra.
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By:
harishchandraraj
Education
60 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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