From:paterson@mel.dbce.csiro.au (David Paterson)Newsgroups:sci.mathSubject:Polyhedra, nets, how many with 7 faces?Date:Thu, 15 Feb 96 05:34:57 GMTOrganization:CSIRO

Hi there, First things first, I lost every one of my email contacts when moving site so if you've been corresponding with me please note my new email address. I'm trying to write a computer program to do minimal geometric dissections (in 2D) and Stage 1 is finding all valid polyhedra with a given number of faces. I've sorted out all with 2, 3, 4, 5 and 6 faces; although may have some self-crossing nets (doesn't make a valid polyhedron) in the 6 face nets. And only have edges & corners on the nets yet (working on finding the faces). I've only got partial solutions for 7, 8 and 9 faces. It would help a lot if someone can tell me how many different polyhedra have 7 faces; even more if someone has a computer program that plays around with polyhedral (or other) nets. By the way: Stage 1 is finding all polyhedra with a given number of faces; Stage 2 is adding extra nodes on edges and matching these to each given 2-D geometric figure; Stage 3 is comparing nets face by face for possible correspondences and constructing constraint equations; Stage 4 is finding dependencies in the constraint equations and solving them if possible. David Paterson CSIRO DBCE Melbourne. "Puissant Baal complies. He desires a cow-calf in Dubr, A heifer in Shihlmemat-field; Lies with her times seventy-seven. [...]... times eighty-eight. She [conc]eives and gives birth to Math." Poems about Baal and Anath Trans H.L. Ginsberg