All the important parameters of a truncated cuboctahedron

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Table of the important parameters of a truncated cuboctahedron (having 8 congruent equilateral triangular, 6 congruent square & 12 congruent golden rectangular faces) such as normal distances & solid angles subtended by the faces, inner radius, outer radius, mean radius, surface area & volume calculated by using HCR's formula for regular polyhedrons. It can be used in analysis, designing & modelling of polyhedrons.

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Analysis of Truncated Cuboctahedron with Golden Rectangles: Let there be any truncated cuboctahedron having 8 congruent equilateral triangular faces each of edge length 6 congruent square faces each of edge length √ 12 congruent golden rectangular faces each of size √ then all its important parameters are calculated as tabulated below Congruent polygonal faces No. of faces Normal distance of each face from the centre of the given truncated cuboctahedron Solid angle subtended by each face at the centre of the given truncated cuboctahedron in Ste-radian sr Equilateral triangle 8 √ √ Square 6 √ Golden rectangle 12 √ Inner inscribed radius √ Outer circumscribed radius √ Mean radius √ Surface area √ √ Volume √ When a solid truncated cuboctahedron having golden rectangles of the maximum volume is produced from a solid sphere having certain diameter then approximate of total volume of the parent sphere is removed as scraps in facing operations to generate 8 congruent equilateral triangular faces each with edge length 6 congruent square faces each with edge length √ 12 congruent rectangular faces each of size √ . This solid has two unequal edges in a ratio of √ which is also generated by truncating all 12 identical vertices of a cubocthedron. Estimated illustrated by Mr Harish Chandra Rajpoot B Tech Mechanical Engineering M.M.M. University of Technology Gorakhpur-273010 UP India Dec 2014

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