Polyhedra in OpenSCAD

Group IndexFull ListCreate from Conway FormulaConway operatorsAbout

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)
.
Search

Name	STL	Groups	#Vertices	Vertex orders	#Faces	Face orders	#Edges	Conway
Thomson 10		Thomson	10	8{5}+2{4}	16	16{3}	24
Thomson 11		Thomson	11	8{5}+1{6}+2{4}	18	18{3}	27
Thomson 12		Thomson	12	12{5}	20	20{3}	30
Thomson 13		Thomson	13	10{5}+2{6}+1{4}	22	22{3}	33
Thomson 14		Thomson	14	12{5}+2{6}	24	24{3}	36
Thomson 15		Thomson	15	12{5}+3{6}	26	26{3}	39
Thomson 16		Thomson	16	12{5}+4{6}	28	28{3}	42
Thomson 17		Thomson	17	5{6}+12{5}	30	30{3}	45
Thomson 18		Thomson	18	2{4}+8{6}+8{5}	32	32{3}	48
Thomson 19		Thomson	19	12{5}+7{6}	34	34{3}	51
Thomson 20		Thomson	20	8{6}+12{5}	36	36{3}	54