The puzzling world of polyhedral dissections
著者
書誌事項
The puzzling world of polyhedral dissections
(Recreations in mathematics, no. 6)
Oxford University Press, 1990
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注記
Bibliography: p. [192]-193
Includes index
内容説明・目次
内容説明
This book examines the history, geometry, and practical construction of three-dimensional puzzles. It outlines the many different kinds of interlocking assembly puzzles, from burrs, Tangrams, and polyominoes, to those using such polyhedra as the rhombic dodecahedron and truncated octahedron, and describes numerous puzzles devised recently by the author and other inventors, many of which have never been published. For every design shown, an equal number of unsolved problems are considered, and most puzzles can be made in wood. The book will appeal to puzzle and computer enthusiasts and mathematicians.
目次
- Two-dimensional dissections
- two-dimensional combinatorial puzzles
- cubic block puzzles
- interlocking block puzzles
- the six-piece burr
- larger (and smaller) burrs
- the diagonal burr
- the rhombic dodecahedron and its stellations
- polyhedral puzzles with dissimilar pieces
- intersecting prisms
- puzzles that make different shapes
- coordinate motion puzzles
- puzzles using hexagonal or rhombic sticks
- split triangular sticks
- dissected rhombic dodecahedra
- miscellaneous confusing puzzles
- triacontahedral designs
- puzzles made of polyhedral blocks
- intermezzo
- the two tiers puzzle
- theme and variations
- blocks and pins
- woodworking techniques.
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