FAQ   Search   Memberlist   Usergroups   Register   Profile   Log in          Games  Calendar Log in to check your private messages    The proof of 5472730538 essentially different Sudoku grids          Sudoku Programmers Forum Index -> The mathematics of sudoku View previous topic :: View next topic   Author Message matcos Joined: 21 Apr 2007 Posts: 1 : Location: the Netherlands Items Posted: Sat Apr 21, 2007 7:44 pm    Post subject: The proof of 5472730538 essentially different Sudoku grids Hello, I looked on Frazer Jarvis's site, (sudgroup.html) and tried to check the proof. One of the things I would like to do is find Sudoku-grids which is invariant for each of (one representant of) the classes as defined on this site. I can't find a Sudoku-grid which is invariant under class 134, however there must be a lot of them! The described member of class 134 is of order 2 and it has 9 fixpoints, all in the first 3 rows (in the notation of Ed Russell and Frazer Jarvis no 1,5,9, 10,14,18, 19,23,27). Could someone give me a clue? --MatCos Back to top coloin Joined: 05 May 2005 Posts: 97 : Items Posted: Tue Apr 24, 2007 12:48 pm    Post subject: You might be interested in this canonical form thread..... gsf has a file with all the grids - minlex Here is a published sample of the grids with >26 automorphisms - Possibly the one you want is there ! Code: here are the 27 and up grids with #automorphisms, band, and minlex index. 123456789456789123789123456231564897564897231897231564312645978645978312978312645 # 648 001 964550 123456789456789123789123456231564897564897231897231564312978645645312978978645312 # 108 001 964558 123456789456789123789123456231564897564897231897231564348672915672915348915348672 # 54 001 964568 123456789456789123789123456231564897564897231897231564348915672672348915915672348 # 54 001 964569 123456789456789123789123456231564897564897231978312645312645978645978312897231564 # 36 001 964589 123456789456789123789123456231564978564897312897231645312978564645312897978645231 # 72 001 965096 123456789456789123789123456231564978564978231978231564312645897645897312897312645 # 108 001 965174 123456789456789123789123456231564978564978231978231564312897645645312897897645312 # 36 001 965182 123456789456789123789123456231564978645897231897312564312645897564978312978231645 # 36 001 966422 123456789456789123789123456231597864597864231864231597312678945678945312945312678 # 36 001 985543 123456789456789123789123456231597864597864231864231597312948675675312948948675312 # 36 001 985544 123456789456789123789123456231678945678945231945231678312597864597864312864312597 # 36 001 989378 123456789456789123789123456231678945678945231945231678312894567567312894894567312 # 36 001 989379 123456789456789123789123456231897564564231897897564231348672915672915348915348672 # 27 001 989400 123456789456789123789123456231897564564231897978645312312978645645312978897564231 # 36 001 989404 123456789456789123789123456231897645564312897978564231312978564645231978897645312 # 36 001 989622 123456789456789123789123456234567891567891234891234567318642975642975318975318642 # 54 001 992761 123456789456789123789123456234567891567891234891234567345678912678912345912345678 # 54 001 992769 123456789456789123789123456234567891567891234891234567372615948615948372948372615 # 54 001 992773 123456789456789123789123456235964817817235964964817235392641578578392641641578392 # 54 001 1006748 123456789456789123789123456267591348591834672834267915375618294618942537942375861 # 54 001 1007164 123456789456789123789123456267591834591834267834267591375618942618942375942375618 # 162 001 1007168 123456789456789123789123456267591834591834267834267591375942618618375942942618375 # 54 001 1007169 123456789456789123789132465231564978564978231978213546312645897645897312897321654 # 36 004 50092115 123456789456789123798132465231564897564897231879213546312645978645978312987321654 # 36 009 224283635 123456789456789123897231564231564978564978231789312645312645897645897312978123456 # 54 016 473714886 123456789456789231789123645231564897564897312897231456375618924618942573942375168 # 36 027 1012364857 123456789456789231789123645231564978564897123897231564375942816618375492942618357 # 36 027 1012366524 123456789456789231789312456231564978564978312978123564312645897645897123897231645 # 27 030 1061944621 123456789456789231789312456231645978645978312978123645312564897564897123897231564 # 54 030 1062073983 123456789457189236968372514291738465374265198685941327546813972732694851819527643 # 36 133 4869572229 123456789457189326869372514214965873635847192978213465381624957546798231792531648 # 36 240 5449015463 123456789457289163689173452235964817816735924974812635392641578568397241741528396 # 54 348 5472677656 123456789457289163689173452245968317316745928978312645564897231731524896892631574 # 108 348 5472677695 123456789457893612986217354274538196531964827698721435342685971715349268869172543 # 72 416 5472730538 C Back to top Display posts from previous: All Posts1 Day7 Days2 Weeks1 Month3 Months6 Months1 Year Oldest FirstNewest First         Sudoku Programmers Forum Index -> The mathematics of sudoku All times are GMT Page 1 of 1   Jump to: Select a forum Sudoku----------------Solving sudokuSetting sudokuProgramming sudokuThe mathematics of sudokuExotic sudoku Library----------------PuzzlesSoftwareSudoku elsewhere Not sudoku----------------Random thoughtsForum feedback  You cannot post new topics in this forum You cannot reply to topics in this forum You cannot edit your posts in this forum You cannot delete your posts in this forum You cannot vote in polls in this forum   Powered by phpBB © 2001, 2005 phpBB Group Igloo Theme Version 1.0 :: Created By: Andrew Charron