This section is from the book "The Tinman's Manual And Builder's And Mechanic's Handbook", by Isaac Ridler Butt. Also available from Amazon: The Tinman's Manual And Builder's And Mechanic's Handbook.
No. of sides. | Names. | Surfaces. | |
4 | Tetrahedron | 1.7321 | 0.1179 |
6 | Hexahedron | 6. | 1. |
8 | Octahedron | 3.4641 | 0.4714 |
12 | Dodecahedron | 20.6458 | 7.6631 |
20 | Icosahedron | 8.6603 | 2.1817 |
The tabular surface multiplied by the square of one of the boundary lines equals the surface required; or,
The tabular solidity multiplied by the cube of one of the boundary lines equals the solidity required.
 
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