From STEVENS@macc.wisc.edu Tue Jun 23 07:59:22 1992 Return-Path: Received: from vms3.macc.wisc.edu by life.ai.mit.edu (4.1/AI-4.10) id AA05161; Tue, 23 Jun 92 07:59:22 EDT Received: from VMSmail by vms3.macc.wisc.edu; Mon, 22 Jun 92 09:19 CDT Message-Id: <22062209193919@vms3.macc.wisc.edu> Date: Mon, 22 Jun 92 09:19 CDT From: PAul STevens - MACC - 2-9618 Subject: Re: reminiscences To: CUBE-LOVERS@life.ai.mit.edu X-Vms-To: IN%"cube-lovers@life.ai.mit.edu",STEVENS reid@math.berkeley.edu writes: >well, i've droned on long enough. anyone else got any interesting stories? I think my solution may be considered cheating; but I was pretty proud of it. I had almost decided to give up on the thing. But I had just designed and built an 8080 'computer'. It had 2k bytes of 2102's and had to be programmed with binary switches and whenever the program clobbered itself the entire program had to be re-entered in binary. So I wrote a program to look for combinations of moves that left most of the cube alone and only moved a few cubelets. I studied the best of these at great length and managed to combine some into 'better' moves, eventually finding some that moved only three or so cubelets. These were then combined into a solution. A rather god-awful solution I think. But my fingers learned the moves and I have never abandoned them for fear of becoming totally confused. The same ugly solution has been passed on for at least one generation and perhaps will persist for hundreds of years. I still don't know what a group or commutator or ... is except what I have deduced from reading mail from this group. I get the front face corners exactly right, the back corners in the proper position, and then the back corners rotated properly. Finally the edges go where they belong one at a time, first on the front and back and finally the four on the sides/top/bottom. I have noticed a lack of discussion of cubes that have pictures on them such that the entire cube can be right except that a single center can be upside-down. I have also painted a 4x4x4 so that the center 4 squares on each face have to be in the proper position. Every time I solve this cube I have to rediscover how it is done. My fingers refuse to learn it for me. Behind the back? You gotta be kidding! PAul