From cube-lovers-errors@mc.lcs.mit.edu Thu Aug 21 12:54:21 1997 Return-Path: Received: from sun30.aic.nrl.navy.mil by mc.lcs.mit.edu (8.8.1/mc) with SMTP id MAA19523; Thu, 21 Aug 1997 12:54:21 -0400 (EDT) Precedence: bulk Errors-To: cube-lovers-errors@mc.lcs.mit.edu Mail-from: From reid@math.brown.edu Thu Aug 21 00:45:19 1997 Message-Id: <199708210441.AAA22489@life.ai.mit.edu> Date: Thu, 21 Aug 1997 00:47:02 -0400 From: michael reid To: cube-lovers@ai.mit.edu Subject: partial isoglyphs dan recently introduced the concept of "partial isoglyphs", in which some faces are solid, and the others are glyphs of the same pattern. i looked into this a little and didn't find much. only the case of two opposite solid faces seems to have many possible glyph types, although some of these possible types may have many solutions. here's what i found 6 solid faces: start 5 solid faces: no possibilities 4 solid faces: other two faces opposite: types 02, 0D and 04 are possible other two faces adjacent: type 0D is possible 3 solid faces: mutually adjacent: type 02 is possible not mutually adjacent: types 01 and 0D are possible 2 solid faces: adjacent: types 01, 02, 0D and 03 are possible opposite: many possible types 1 solid face: types 01, 02 and 0D are possible but it seems like herbert's cube explorer program can settle this matter completely. maybe he, or someone else wants to investigate this. mike