Xref: utzoo sci.math:9026 comp.theory:123 Path: utzoo!attcan!utgpu!jarvis.csri.toronto.edu!clyde.concordia.ca!uunet!lll-winken!brutus.cs.uiuc.edu!zaphod.mps.ohio-state.edu!tut.cis.ohio-state.edu!ukma!rshelby From: rshelby@ms.uky.edu (Richard Shelby) Newsgroups: sci.math,comp.theory Subject: Re: Rubik's Cube Problem Summary: switching colors can make solution impossible Message-ID: <13516@s.ms.uky.edu> Date: 19 Dec 89 02:23:06 GMT References: <5310@garfield.MUN.EDU> Organization: U of Ky, Math. Sciences, Lexington KY Lines: 17 In article <5310@garfield.MUN.EDU>, chris2@garfield.MUN.EDU (Chris Paulse) writes: > > If I had a solved Rubik's cube, and the colors on each face were > just stickers on the black plastic surface, if I exchanged some > of the stickers, would the cube still be solvable in the normal way? > Some switching of the colored stickers on cube faces makes solution impossible. Rubik's cube has been used in lots of popular math columns, it shouldn't be difficult to find articles. It's also not difficult to treat Rubik's cube as a set of n-tuples and then do proofs after determining the possible moves/ transformations. Play around with it; I've used a subset of the trans- formations to help teach logic. -- Richard L. Shelby rshelby@ms.uky.edu Department of Health Services rshelby@ukma.BITNET University of Kentucky {rutgers,uunet}!ukma!rshelby