From @mail.uunet.ca:mark.longridge@canrem.com Fri Jul 15 03:19:03 1994 Return-Path: <@mail.uunet.ca:mark.longridge@canrem.com> Received: from seraph.uunet.ca (uunet.ca) by life.ai.mit.edu (4.1/AI-4.10) for /com/archive/cube-lovers id AA25039; Fri, 15 Jul 94 03:19:03 EDT Received: by mail.uunet.ca via suspension id <91049-1>; Fri, 15 Jul 1994 03:02:49 -0400 Received: from portnoy.canrem.com ([198.133.42.251]) by mail.uunet.ca with SMTP id <92031-3>; Fri, 15 Jul 1994 02:30:57 -0400 Received: from canrem.com by portnoy.canrem.com (4.1/SMI-4.1) id AA02807; Fri, 15 Jul 94 01:45:11 EDT Received: by canrem.com (PCB-UUCP 1.1f) id 1A658F; Fri, 15 Jul 94 01:40:47 -0400 To: cube-lovers@life.ai.mit.edu Reply-To: CRSO.Cube@canrem.com Sender: CRSO.Cube@canrem.com Subject: DOTC 1.4 is done From: mark.longridge@canrem.com (Mark Longridge) Message-Id: <60.770.5834.0C1A658F@canrem.com> Date: Fri, 15 Jul 1994 01:32:00 -0400 Organization: CRS Online (Toronto, Ontario) Domain of the Cube 1.4 is finally done! --------------------------------------- I've finally finished the new issue of the DOTC newsletter, and I'm basically happy with it. I believe I owe my fellow cubists an apology for taking so long, especially Greg Schmidt and Dan Hoey. I've enjoyed using the cube since 1981 and I wish I had more time and energy to put into it. I was also rather ill earlier this year, and things at work seemed to always interrupt. Nevertheless, the first 20 copies are finally ready to mail. Despite the fact these initial copies are slightly flawed I am no longer willing to wait. This time the issues have beige covers and are stapled like a booklet, much the same as David Singmaster's Cubic Circular. I'm pleased with the printer's results, and I am mailing out the first issues tomorrow. I have considerable work done on issue 1.5 and I expect the next issue to be ready relatively soon. - Mark New Technique for Pattern Finding: Cycle a process until you find the identity, e.g. (F1 B1 R1 D1)^24 = I then bisect the process if the order is even, ( F1 B1 R1 D1 ) ^ 12 = Pattern, naturally this process is order 2. --------------------------------------------------------------------- Hmmmm, actually I have some questions that have been bugging me for some time. I while back a guy was watching me use my cube program and I explained that the reason I like studying group theory is because it provided greater insights into the cube. He then asked me: "What are other uses of group theory?" and "What are the practical uses of group theory" to which I haltingly replied (somewhat vaguely) that it helped show relationships between geometry and algebra. I felt this explanation unsatisfactory. I also mumbled about symmetry and architecture. I'm sure there is a better answer than that! Also why is it in math that |-11| means absolute value and can also be the order of G, e.g. Let G be a Group, and |G| means the order of G. Here is another tidbit for the cube archives: Rare 11-cycle of edges: ( L2 B1 R1 D3 L3 ) ^ 7 (35) alternately: F2 R3 U1 D3 B3 D1 L3 U3 D1 B1 L1 D1 B2 U2 D2 R2 B2 D1 (18) -> Mark <-