
All the important parameters of a truncated icosahedron
All the important parameters of a truncated icosahedron (Goldberg polyhedron, G(1,1)) such as normal distances & solid angles of the faces, inner radius, outer radius, mean radius, surface area & volume have been calculated by using HCR's formula for regular polyhedrons (all five platonic solids)
Tags:
Goldbergpolyhedron , HCRsFormula , HCRsTheory of Polygon , Icosahedron , Truncated
By:
harishchandraraj
Science & Technology
62 months ago
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Mathematical Analysis of Regular Spherical Polygons by HCR
All the parameters of a regular spherical polygon such as solid angle subtended at the center, area, length of side, interior angle etc. have been derived by Mr H.C. Rajpoot by using simple geometry & trigonometry. All the formula are very practical & simple to apply in case of any regular spherical polygon to calculate all its important parameters such as solid angle, surface area covered & length of each side etc. & also all the parameters of the corresponding regular plane polygon obtained by joining all the vertices of the regular spherical polygon by straight lines. These formula can also be used to calculate all the parameters of the right pyramid obtained by joining all the vertices of a regular spherical polygon to the center of sphere such as normal height, angle between the consecutive lateral edges, area of regular polygonal base etc. All these results are also the shortcuts for calculating the various complex problems related to the regular spherical polygons.
Tags:
Application , HCR , Polygon , REGULAR , Spherical
By:
harishchandraraj
Education
61 months ago
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