Dear Walter Becker, At the first glance I understood, that you describe the Dodecahedron, beeing the dual regular polyhedron of the icosahedron, therefore the rotation symmetry for your "buckyball" is the icosahedral group, i was dealing with in my messages. You can imagine it by replacing the 12 vertices of the icosahedron by the 12 pentagons of your "buckyball".
best regards, Rudolf Zlabinger ----- Original Message ----- From: "Walter Becker" <[EMAIL PROTECTED]> To: <[EMAIL PROTECTED]> Sent: Sunday, May 14, 2006 6:14 PM Subject: icosahedral group question dear Dr. Zlabinger: You have been asking and getting several responses to questions dealing withy the icosahedral group on the GAP forum. Do you have any interest or knowledge about the uses of GAP in determining the symmetry adapted basis functions that are used in various areas of chemistry and physics? Here I am esecially interested in using GAP as a method or tool in calculating them--especially for teh higher order point groups e.g., the icosahedral one. The applicarion of interest here is to the buckyball systems which involve five-fold symmetres but the geometrical structure is a truncated icosahedran--ie, take each vertex of the icosahedron and pass a plane betwen it and the next series of vertices ---essentially converting each vertex in five new vertices. The group for te buckyball is this 60 vertex object and its vibratonsare determined by this point group. Comments on interest ????? I can give some references as to where the calclations are reported but not much in the nitty-gritty details are gven ie computer routines or projection operators used in the work. Walter Becker _______________________________________________ Forum mailing list [email protected] http://mail.gap-system.org/mailman/listinfo/forum
