Polyominoes (eBook)

Puzzles, Patterns, Problems, and Packings - Revised and Expanded Second Edition

Solomon W. Golomb (Autor)

eBook Download: PDF

2020
198 Seiten
Princeton University Press (Verlag)
978-0-691-21505-1 (ISBN)

Infos

Inspiring popular video games like Tetris while contributing to the study of combinatorial geometry and tiling theory, polyominoes have continued to spark interest ever since their inventor, Solomon Golomb, introduced them to puzzle enthusiasts several decades ago. In this fully revised and expanded edition of his landmark book, the author takes a new generation of readers on a mathematical journey into the world of the deceptively simple polyomino. Golomb incorporates important, recent developments, and poses problems, inviting the reader to play with and develop an understanding of the extraordinary properties of polyominoes.

Produkt-Details

• Erscheint lt. Verlag: 7.7.2020
• Reihe/Serie: Princeton Science Library
• Reihe/Serie: Princeton Science Library
• Zusatzinfo: 200 line illustrations, 5 tables
• Sprache: englisch
• Themenwelt: Sachbuch/Ratgeber ► Freizeit / Hobby ► Spielen / Raten
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• Themenwelt: Mathematik / Informatik ► Mathematik ► Graphentheorie
• Themenwelt: Naturwissenschaften
• Schlagworte: Addition • Ashbacher, Charles • associative property • Backtracking • Big O notation • Binomial coefficient • Binomial Theorem • Bird, David • Burnside, William • Calculation • checkerboard • coefficient • combination • commutative property • complex number • conjecture • Conway, John H. • counterexample • Counting • covering problems • Cube • Cuboid • Cyclic group • Dahlke, Karl A. • David Singmaster • De Bruijn's theorem • diagonal • Diagram (category theory) • Dihedral Group • Dimension • Discrete Mathematics • Dissection problem • Doig, Alison • Earnshaw, Spencer • Eden, Murray • empty set • Enumeration • equilateral triangle • exponential function • factorial • Factorization • Faithful Representation • Fletcher, John G. • Fractional part • Fraenkel, Aviezri • Gale, David • Geometry • Gordon, Basil • Harary, Frank • Haselgrove, Jenifer • Heptomino • Hermann Weyl • hexagon • Hexagonal tiling • Hexomino • Hypercube • Icosian Game • Identity element • Inequality (mathematics) • Integer • Inverse element • John Selfridge • Jones, Kathy • Line segment • Looger, Loren • Lunnon, W. F. • Manvel, Bennet • martin gardner • Mathematical Induction • Mathematical Proof • Mathematics • mirror symmetry • Moore, E. F. • Natural number • Nonomino • Nth root • Number form • octahedron • Octomino • Orman, Hilarie • Parity (mathematics) • Pascal, Blaise • Patton, W. E. • Penrose tiling • pentomino • Permutation • plausible reasoning • Plus-minus sign • Polycube • Polyiamond • Polyomino • prime factor • Prime number • Proof of impossibility • Raphael M. Robinson • real number • rectangle • Regular dodecahedron • Regular icosahedron • regular polygon • Reid, Michael • Rep-tile • rhombus • Richard K. Guy • Right angle • Right triangle • Rothschild, Bruce • Rudy Rucker • Satterfield, Wade • scale model • Solomon W. Golomb • Soma cube • Special case • square tiling • Stewart, Ian • Subset • Summation • Symmetry operation • Taylor, Herbert • tessellation • tetrahedron • Tetromino • Tower of Hanoi • Triangular tiling • Tromino • Unit cube • Unit square • Vancil, Andrew • Verbakel, Jan • Wang, Hao • Weyl, Hermann • Yoshigahara, Nob
• ISBN-10: 0-691-21505-7 / 0691215057
• ISBN-13: 978-0-691-21505-1 / 9780691215051