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.
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Analysis , Dodecahedron , Mathematical , Truncated
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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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.
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Angles , Archimedean , HCR , Polyhedrons , Solid
By:
harishchandraraj
Education
58 months ago
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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 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
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THE OBJECT STRUGGLE EPISODE 6:PART 3
Last time, we found out which lucky competitors have made it to the final rounds (which are Warp Pipe, Eraser, Disc, Camera, Rubber, Boxing Glove, Fan, Dodecahedron, Casey, Cupcake, Dice, Lightbulb, Puffball, Magnet, Leafy, Book, Kite, Coney, Wheel and Jigsaw. Who will make it into the final 2, who will officially win this contest and which team will e up for elimination. Find out in the third part of the Objectic Struggle Episode 6
Tags:
Episode , Object , Part , Struggle
By:
marc522235
Entertainment
31 months ago
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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
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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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