Polyhedra in OpenSCAD

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group : Thomson   Count = 11

J.J. Thomson (1904) asked: How do a small number of electrons arrange themselves on the surface of a unit sphere? Various algorithms are available for computing a solution as discussed in Wikipedia. see also POLYHEDRA IN PHYSICS, CHEMISTRY AND GEOMETRY
Following the approach of pmoews on Thingiverse, these Polyhedra have been created by using the coordinates from The Cambridge Cluster Database, converting to the format required by Qhull to generate the faces and then converting to the XML format used for all solids.
Currently all faces are triangles even when 4 or more points lie in a plane as they do on one face of Thomson 19. The duals of these solids have irregular square, pentagonal and hexagonal faces (use Conway formual dZ)
.

Name Groups #vertices #faces face orders #edges Conway
Thomson 10  Thomson 10 16 24
Thomson 11  Thomson 11 18 27
Thomson 12  Thomson 12 20 20 of 3 30
Thomson 13  Thomson 13 22 22 of 3 33
Thomson 14  Thomson 14 24 24 of 3 36
Thomson 15  Thomson 15 26 26 of 3 39
Thomson 16  Thomson 16 28 28 of 3 42
Thomson 17  Thomson 17 30 30 of 3 45
Thomson 18  Thomson 18 32 32 of 3 48
Thomson 19  Thomson 19 34 34 of 3 51
Thomson 20  Thomson 20 36 36 of 3 54