Rubik's Cube Solutions Plus Puzzles And 8-Balls Presents solutions to Rubik s Cube and Rubik s Revenge, and provides some background in cube group theory. http://williambader.com/museum/cubes/cubes.html
Extractions: My old racing Rubik's Cube http://www.rubiks.com is well-worn and barely holds together. I gave it a lot of wear in June 1982 during the week between high school finals and graduation ../../scscards/liberty.html . A cube has 43,252,003,274,489,856,000 (over 4 X 10^19) different positions http://www-gap.dcs.st-and.ac.uk/~gap/Intro/rubik.html . This number is the product of 8! corner position permutations X 12!/2 edge position permutations X 3^8/3 corner twirls X 2^12/2 edge flips and factors as 2^27 X 3^14 X 5^3 X 7^2 X 11. If you take a cube apart, there are 12 different ways that you can put it together such no set of moves will take the cube from one of the 12 assemblies to the other. When I was in practice, I could solve a scrambled cube in about a minute using about 65 moves (counting slices as a single move). I usually do the top corners, three of the top edges, the bottom corners, the bottom edges, the last top edge, and then the center edges.
Weyl Biography Brief biography of the German mathematician who made pioneering contribution to group theory and the concept of symmetry, and was one of the first to formulate a unified theory of electromagnetism and general relativity; from the MacTutor History of Mathematics Archive (University of St. Andrews). http://www-history.mcs.st-andrews.ac.uk/~history/Biographies/Weyl.html
Extractions: Version for printing Hermann Weyl was known as Peter to his close friends. His parents were Anna Dieck and Ludwig Weyl who was the director of a bank. As a boy Hermann had already showed that he had a great talents for mathematics and for science more generally. After taking his Abiturarbeit (high school graduation exam) (see [ Hilbert . He later wrote:- I resolved to study whatever this man had written. At the end of my first year I went home with the "Zahlbericht" under my arm, and during the summer vacation I worked my way through it - without any previous knowledge of elementary number theory or Galois theory. These were the happiest months of my life, whose shine, across years burdened with our common share of doubt and failure, still comforts my soul. Hilbert . After submitting his doctoral dissertation he was awarded the degree in 1908. This thesis investigated singular integral equations, looking in depth at
ISIS - Theory Theoretical condensed matter research at the Rutherford Appleton Laboratory, Oxford, UK. Includes research details and information on seminars, publications and the history of the group. http://www.isis.stfc.ac.uk/groups/theory/
Extractions: @import url(/web_resources/stylesheets/common.css); @import url(/web_resources/stylesheets/sitespecific.css); Go to low graphics version About ISIS Science Instruments ... Groups Theory Research Downloads Publications The ISIS Theory group carries out theoretical science work on topics that benefit from experiments performed with neutron scattering, X-ray and muon techniques. Areas include electronic and magnetic properties, with an emphasis on features that have their origin in the quantum mechanics of identical particles. Follow the links on either sidebar for information on the groups research publications and history as well as for a list of people who are involved in the ISIS theory group and a description of the lectures and seminars that we organise. Other STFC News Site Sections Important Links Can't find it? Try the A to Z or the Image Gallery Science and Technology Facilities Council Privacy Statement Access to Information ... Research Councils UK
Katanin A Home Page Application of modern mathematical methods (continual integration, renormalization group, bosonization, group theory, methods of topology) to actual problems of physics of strongly-correlated electron systems. Investigations of magnetism of strongly-correlated electron systems. http://www.imp.uran.ru/KTM_LAB/Katanin/
Extractions: Back to Dave Benson's front page What's New What's Old Authors A B C D ... Z Searching . Go to "What's Old" (above). Most browsers have a search facility which makes easy the task of finding papers by words in the title. There is no facility for keyword search, and I have no plans to install one. If you use this archive regularly (or even if you don't), please contribute by emailing me .dvi files, as well as plain text .data files containing information about author/title/abstract/status. My email address can be found here (please do not put this address on a web page or on mailing lists without asking first) If you don't include a .data file, I'll make one myself from the information I can find; so please don't let laziness stop you from depositing your papers! Conference Announcement: Approaches to Group Theory , Cornell University, 09-11 Oct 2010, dedicated to Ken Brown Created using /sw/bin/emacs under Mac OS 10.6.4.
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