Mathematical Analysis of Truncated Cube (Hexahedron)
All the important parameters of a truncated cube/hexahedron (having 8 congruent equilateral triangular & 6 congruent regular octagonal 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 , hexahedron , Mathematical , Truncated , Truncated cube
By:
harishchandraraj
Education
61 months ago
Download


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
Download

Mathematical Analysis of Truncated Tetrahedron
All the important parameters of a truncated tetrahedron 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 polyhedron. 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 be used in analysis, designing & modelling of regular npolyhedrons.
Tags:
Analysis , Mathematical , TETRAHEDRON , Truncated
By:
harishchandraraj
Science & Technology
61 months ago
Download


Mathematical Analysis of Truncated Octahedron
All the important parameters of a truncated octahedron 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 polyhedron. 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 be used in analysis, designing & modelling of regular npolyhedrons.
Tags:
Analysis , Mathematical , Octahedron , Truncated
By:
harishchandraraj
Science & Technology
61 months ago
Download

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
By:
harishchandraraj
Education
61 months ago
Download

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
Download

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
61 months ago
Download

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
Download
