• The Natural Sudoku Lecture 8

    Hung-ping Tsao
    Lawrence K Wang (see profile)
    Science, Technology, Engineering, Arts and Mathematics (STEAM)
    Item Type:
    Book chapter
    Natural Sudoku, puzzle, Principle of the Least Choice, Residue, Flipflops chain, Stratigic flipflops.
    Permanent URL:
    Tsao, Hung-ping (2022). The Natural Sudoku Lecture 8. In: "Evolutionary Progress in Science, Technology, Engineering, Arts, and Mathematics (STEAM)", Wang, Lawrence K. and Tsao, Hung-ping (editors). Volume 4, NUMBER 11I, November 2022; 61 pages. Lenox Institute Press, Auburndale, MA, 02466, USA. No. STEAM-VOL4-NOV11I-2022; ISBN 978-0-9890870-3-2. ....... ABSTRACT: (a) Hard sudoku puzzles are usually designed for defying our logical reasonings, so we can counter with the Principle of Least Choice (PLC) by selecting the least likely one when facing the multiple choices of our next move. The harder the puzzle, the more often PLC is recommended to be used; (b) This lecture serves as the preface for promoting the natural Sudoku (Sudoku with 17 givens). Accordingly, I plan to give a series of lectures, each containing two puzzles with illustrative solutions, the second one of which is the demonstration of the first of the 49 practice puzzles with annotated solutions. All natural Sudoku puzzles are downloaded from Gordon Royle list; (c) The minimum of 17 givens is required for a Sudoku puzzle to not having multiple solutions. There are no extra givens that puzzle makers can maneuver to design extremely hard Sudoku. Therefore, we shall not use PLC at all for any of our lectures;(d) The purpose of my lectures is for you not to waste time in playing Sudoku. In addition to the introduction of efficient methods, we most importantly screen out those puzzles with multiple or no solutions in the collection of practice sets for you; (e) The lectures are presented in the power point format, convenient for any interested instructors to use; (f) The solving process of each and every natural Sudoku puzzle is, in deed, performing in an act of martial art as well as poetic rhythm; and (g) Translation of a poem of Yang Shen (楊慎 臨江仙) is attached in the appendix (and more).
    Keywords: Natural Sudoku, Puzzle, Row move, Column move, Block move, Box move, Grid move, Terminating move, Rule of unique solution, Candidate, Principle of the Least Choice, Residue, Flipflops chain, Stratigic flipflops.
    Published as:
    Book chapter    
    Last Updated:
    11 months ago
    All Rights Reserved


    Item Name: pdf ns-8.pdf
      Download View in browser
    Activity: Downloads: 35