Cunning Combination Problems & Other Puzzles

Overview

There's magic in these brainteasers. Most of them play variations on the magic square, among the oldest puzzles that exist. These cubes or other shapes are made up of groups of cells, each cell containing one of a set of numbers. The set generally corresponds with the number of cells, so, for example, a five-by-five magic square would contain numbers from 1 to 25. The trick: the sum of the numbers in any one row or column (and sometimes diagonal) must be the same. It's pure mathematical beauty. Examine and ...

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Overview

There's magic in these brainteasers. Most of them play variations on the magic square, among the oldest puzzles that exist. These cubes or other shapes are made up of groups of cells, each cell containing one of a set of numbers. The set generally corresponds with the number of cells, so, for example, a five-by-five magic square would contain numbers from 1 to 25. The trick: the sum of the numbers in any one row or column (and sometimes diagonal) must be the same. It's pure mathematical beauty. Examine and attempt to figure out the workings of a "diabolic" version created by Dürer, an early variation by Lo-Shu, and variants that use colors, different shapes, and hinged tiles.

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Product Details

  • ISBN-13: 9781402723469
  • Publisher: Sterling Publishing
  • Publication date: 12/1/2005
  • Series: Mastermind Collection Series
  • Pages: 128
  • Product dimensions: 7.98 (w) x 9.94 (h) x 0.33 (d)

Table of Contents

Lo-Shu 6
Magic Square of Order 4 7
Magic Square of Durer 8
Melancholia Strips 9
Hinged Magic Square 10
Baker's Square 11
Triomino Grid 12
Magic Square of Order 6 13
Magic Square of Order 8 13
Mirrors of Archimedes 14
Mirror Path 15
Match Light 16
Corner Mirror 17
Curved Mirrors 17
Magic Latin Squares of Order 3 19
Magic Latin Squares of Order 4 20
Magic Diagonal Latin Squares of Order 5 21
Magic Latin Square of Order 6 21
Magic Latin Square of Order 7 22
Magic Wheels 1 23
Magic Wheels 2 24
Anti-Magic Square of Order 3 26
Magic Hexagons 27
Mathemagic Honeycomb 1 and 2 28
Magic Pentagram 29
Magic Hexagram 29
Magic Heptagonal Star 30
Magic Octagonal Star 30
Magic Cube 31
Magic Hexagram 32
Square Dissections 33
Chessboards and Dominoes 34
Six-Color Star 35
Mirror Tangrams 36
Domino Covering 1 38
Domino Covering 2 39
Consecutive Polyomino Square 1 40
Consecutive Polyomino Square 2 41
Mirror Lines 1 42
Mirror Lines 2 43
Mirage 44
Dodecagon Patterns 45
Color Domino Magic Square 46
Color Domino Ring 46
Color Matador-Solitaire Puzzle 47
Color Matador-Competition Game 47
Color Dominoes 48
Color Dominoes Game 49
Color Domino Strips 50
A Piece of Cake 51
Domino Layouts 52
Mirrors at an Angle 53
Pie Dominoes 54
Pie Dominoes Gameboard 55
Color Squares of MacMahon 57
Color Squares of MacMahon Game 58
Color Zigzag 59
Color Triangles of MacMahon 60
The Butterfly Puzzle 61
The Hexagon Puzzle 61
Block Numbers 62
Color Square Patterns 63
Quadrangle Mangle 64
Block Shock 65
Hexagon Sense-a-Gone 66
Cover-Up Game 67
Cover-Up for One 67
Match Blocks 68
Heptagon Coloring Game 69
Coloring Hexagons Puzzle 1 70
Coloring Hexagons Puzzle 2 71
Color Strips Puzzle 1 72
Color Strips Puzzle 2 73
Color Strips Puzzle 3 74
Color Strips Puzzle 4 75
Decanting Puzzle 1 76
Decanting Puzzle 2 77
Octagon Coloring 78
Laser Beam 79
Comball 1 81
Comball 2 82
Comball 3 83
Ladybugs on Flowers 84
Bee Love 85
The Love Cubes Problem 86
Thirty Color Cubes 88
Big Brother Cubes 90
Linear Cubes 91
Polyaboloes 92
Pentagor 93
Polyform Square 1 94
Polyform Square 2 95
Arrow Wheels 96
Dancing Competition 97
Answers 98
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