From cube-lovers-errors@curry.epilogue.com Fri May 31 16:05:07 1996 Return-Path: cube-lovers-errors@curry.epilogue.com Received: from curry.epilogue.com (localhost [127.0.0.1]) by curry.epilogue.com (8.6.12/8.6.12) with SMTP id QAA07780 for ; Fri, 31 May 1996 16:05:06 -0400 Precedence: bulk Errors-To: cube-lovers-errors@curry.epilogue.com To: Cube-Lovers@AI.MIT.EDU From: Wei-Hwa Huang Subject: Re: Another subscriber Date: 31 May 1996 07:30:49 GMT Organization: California Institute of Technology, Pasadena Lines: 19 Message-Id: <4om779$aip@gap.cco.caltech.edu> References: Nntp-Posting-Host: accord.cco.caltech.edu X-Newsreader: NN version 6.5.0 #12 (NOV) der Mouse writes: >In my opinion mechanical designs for the 7 and above will have to be >fundamentally different from those for the 6 and below, because that's >the point at which the "buried" corner of a corner cubie extends past >the surface of the face during a face turn and thus it's not possible >to build the thing as rigid pieces connected to a central mechanism, at >least not without cutting away part of some face-center cubies. >(Specifically, that buried corner is at sqrt(2)*(.5-1/N) from the >center, taking the cube side as 1 and N as the order of the cube. The >face is at .5 from the center. The former becomes greater than the >latter at about N=6.83...not that non-integer N make physical sense.) There's a really simple solution to this. Just don't make the 7 slices evenly spaced. -- Wei-Hwa Huang, whuang@cco.caltech.edu, http://www.ugcs.caltech.edu/~whuang/ --------------------------------------------------------------------------- Caught Porfiry, Raskolnikov sung his swan Sonia when he went Dounia to Siberia.