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Sensational Shape Problems & Other Puzzles

Overview

Avid puzzle mavens will spend hours slicing and dicing these wildly-hued brainbusters. That's because so many of the problems deal with dissecting geometric shapes--polygons, hexagons, squares, even a chessboard--into congruent parts or figuring out how the split parts would fit back together again. For example, to complete "Exploding Star," solvers have to copy the star in the book, cut it carefully into 12 colored pieces, and then rearrange them into four identical replicas of the big star. But this tough but ...

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Overview

Avid puzzle mavens will spend hours slicing and dicing these wildly-hued brainbusters. That's because so many of the problems deal with dissecting geometric shapes--polygons, hexagons, squares, even a chessboard--into congruent parts or figuring out how the split parts would fit back together again. For example, to complete "Exploding Star," solvers have to copy the star in the book, cut it carefully into 12 colored pieces, and then rearrange them into four identical replicas of the big star. But this tough but fascinating collection has lots more to offer: there are tangram paradoxes that offer a new spin on the ancient Chinese game, mathematical conundrums dealing with weight and gravity, Egyptian rope puzzles, and host of other complex challenges.

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Product Details

  • ISBN-13: 9780641927027
  • Publisher: Sterling Publishing
  • Publication date: 12/1/2005
  • Pages: 128
  • Product dimensions: 7.90 (w) x 9.90 (h) x 0.50 (d)

Table of Contents

Dissections and Polygon Transformations 6
Three Squares into One 7
Dissecting Space 8
Square Cake 9
Consecutive Watermelons 10
Falling Brick 10
T-Time 11
Tangram 12
Tangram Numbers 13
Tangram Polygons 14
Tangram Paradoxes 16
Triangle Tangram 17
Chessboard Dissection 18
Pentagonal Star 19
Heart Tangram 20
Circle Tangram 21
Diagonal Crossing 22
Square Dissections 23
Christmas Mobile 24
Force Four 25
Three Weights 26
Triomino Dissecting 27
Quartering Squares 28
Bomb Demolition Expert 29
Quartering Square Game 30
Hexagons from Rhombuses 31
Dodecagons from Rhombuses 32
Polygons from Rhombuses 33
Hexagon Dissection 34
Twenty-One Weights 35
Cannon Drop and Fire 36
Gravity Fall 37
Square to Star 38
Hexagon to Triangle 39
Pentagonal Star 40
Exploding Star 41
Heptagonal Stars 42
Nonagon Magic 43
Stars Puzzle 44
Twelve-Pointed Stars 45
Pentagon Transformations 46
Perigal's Square 47
Egyptian Rope Puzzles 49
Pythagorean Theorem Generalized 50
Impossible Pythagorean Theorem 50
Dog Tied 51
Antigravity Cones 52
Pythagorean Square 54
Packing Five Squares 55
Packing Unit Squares 56
Consecutive-Rectangle Squares 58
Packing Triangles in Squares 59
Spiraling Consecutive Square 61
Consecutive Squares Tiling the Plane 62
Dodecagon from Quadrilaterals 63
Squares to Infinity 64
Smallest Perfect Square 67
Smallest Perfect Rectangle 1 68
Smallest Perfect Rectangle 2 70
Imperfect Square Split 72
Incomparable Rectangles 73
More Imperfect Squares 74
Cutting Chocolate 76
Dodecagon Zigzag 77
Packing Rectangles 78
Imperfect Hexagon 79
Three-by-Three Cube Packing 80
Bookshelf 81
Rope Acts 82
Triangular Garden 83
Stacking Weights 84
Disappearing Face Magic 85
The Disappearing Pencil 86
Geometrical Vanishes Explained 87
Gain and Loss 88
Spare the Rectangle 89
Curry's Paradox 90
Curry's Triangle Paradox 91
The Disappearing Square 92
Triangle Paradoxes 94
Consecutive Unique Numbers 96
Half Pack 97
Answers 98
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