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Polyominoes

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

Solomon W. Golomb

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Princeton University Press img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Mathematik

Beschreibung

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.

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Schlagwörter

Summation, Complex number, Regular polygon, Tromino, Hexagonal tiling, Unit cube, Dihedral group, Empty set, Parity (mathematics), Octomino, Octahedron, Combination, Factorization, Addition, Exponential function, Prime factor, Rep-tile, Coefficient, Inverse element, Natural number, Commutative property, Dimension, Soma cube, Discrete mathematics, Rhombus, Unit square, Cyclic group, Heptomino, Polyiamond, Hexagon, Counterexample, Proof of impossibility, Regular dodecahedron, Integer, Cuboid, Number form, Rectangle, Conjecture, Diagram (category theory), Equilateral triangle, Plus-minus sign, Binomial coefficient, Square tiling, Counting, De Bruijn's theorem, Prime number, Dissection problem, Icosian game, Mathematical induction, Tetromino, Backtracking, Polycube, Hypercube, Special case, Tetrahedron, Binomial theorem, Subset, Pentomino, Cube, Polyomino, Permutation, Tower of Hanoi, Factorial, Triangular tiling, Checkerboard, Enumeration, Nonomino, Hexomino, Big O notation, Diagonal