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E-raamat: Soma Puzzle Book, The: A New Approach To The Classic Pieces

(Holon Inst Of Technology, Israel), (-)
  • Formaat: 180 pages
  • Ilmumisaeg: 21-Mar-2019
  • Kirjastus: World Scientific Publishing Co Pte Ltd
  • Keel: eng
  • ISBN-13: 9789813275331
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  • Formaat - PDF+DRM
  • Hind: 23,34 €*
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  • Formaat: 180 pages
  • Ilmumisaeg: 21-Mar-2019
  • Kirjastus: World Scientific Publishing Co Pte Ltd
  • Keel: eng
  • ISBN-13: 9789813275331
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Various solutions to the Soma cube.

"A new twist on a popular puzzle cube! Invented by Piet Hein, the Soma cube is one of the most famous mechanical puzzles in the world. The traditional challenge and outcome is to build a cube or other structures from all seven pieces. Change the rules, change the outcome! The puzzles in this unique Soma-inspired collection are no longer predicated upon using all seven pieces at one time! By varying the number of pieces, there are many new and versatile puzzle challenges, from all types of recreational mathematics fields"--

The Soma cube is one of the most famous mechanical puzzles in the world. The main challenge is to build a cube or other structures from all seven pieces. The puzzles in this collection use the pieces as building blocks only, and showcase many versatile challenges, from all types of recreational mathematics fields. For example, you will find symmetry puzzles, cover-up puzzles and even fraction puzzles. The chapters are divided according to the number of pieces used; from single-piece puzzles to puzzles requiring a complete set. From the moment we changed the rules, we felt that the sky is the limit! There is something magical and enchanting in those seven pieces that enabled us to find many puzzles and challenges! Most of the puzzles demonstrated are new and original. Some are based on classic puzzles, as well as more modern ones, modified and presented by using the set of Soma pieces. This is a unique collection of puzzles — all you need is a set of the Soma cube. The puzzles range from easy to difficult and they appeal to a wide audience — all within the reach of the general public. It presents many geometrical and mathematical principals, and makes them easier to understand. However, no special knowledge in mathematics or geometry is required.

Foreword v
Thanks vii
Introduction to the Soma Cube xiii
Glossary of Terms xxiii
How to Use this Book xxv
1 Single-Piece Puzzles
1(6)
1.1 Hexagon
2(1)
1.2 Six-Pointed Star
2(1)
1.3 The Cork
2(1)
1.4 Through the Hole
3(4)
Solutions
4(3)
2 Two-Piece Puzzles
7(16)
2.1 Four in Pairs
8(1)
2.2 Double Layer
8(1)
2.3 Double Triplets
9(1)
2.4 Four Out of Six
10(1)
2.5 Three Symmetric Shapes
11(1)
2.6 V for All!
11(1)
2.7 All Symmetric
12(11)
Solutions
13(10)
3 Three-Piece Puzzles
23(14)
3.1 Two Identical Sets
24(2)
3.2 Triplets
26(1)
3.3 Three Together!
26(11)
Solutions
28(9)
4 Four-Piece Puzzles
37(26)
4.1 Hole in a Square
38(2)
4.2 A Piece on Top
40(1)
4.3 The Double Cube
41(1)
4.4 The 3 × 5 Rectangle
42(1)
4.5 The Double Heart
42(1)
4.6 The Symmetry Quest
43(1)
4.7 The Bench
44(1)
4.8 Find the Pentominoes!
45(1)
4.9 Triple Pentominoes
46(17)
Solutions
47(16)
5 Five-Piece Puzzles
63(28)
5.1 The Bar
64(1)
5.2 The Extra Cube
64(1)
5.3 The Altar
65(1)
5.4 The 2 × 2 Stamp
65(1)
5.5 The Magic-Square Shape
66(1)
5.6 Five Times
67(2)
5.7 The Double Ten
69(1)
5.8 The Small Altar
70(1)
5.9 Four Times Pentominoes
70(1)
5.10 The Pentominoes Cube
71(20)
Solutions
72(19)
6 Six-Piece Puzzles
91(26)
6.1 The 2 × 3 × 4 Box
92(1)
6.2 The (Im)possible 2 × 2 × 6 Box
93(1)
6.3 The Complete Hexominoes
94(1)
6.4 Symmetry Lines
95(1)
6.5 More Symmetry Lines
96(1)
6.6 The Extra Large Pentominoes
97(1)
6.7 The Missing Cube Shaft
98(1)
6.8 The 8 × 3 Constructions
99(1)
6.9 The 2 × 12 Constructions
100(1)
6.10 Four of the Same
101(1)
6.11 The Surprising Division
102(15)
Solutions
103(14)
7 Complete Set Puzzles
117(22)
7.1 The Impossible Cube
118(1)
7.2 The Twins
119(1)
7.3 By the Power of Three
119(1)
7.4 Fractions!
120(1)
7.5 The Symmetric LS
121(1)
7.6 The Symmetric CL
122(1)
7.7 The Divided Cube
122(1)
7.8 The Highest Tower
123(1)
7.9 All Stand Up!
124(1)
7.10 All Hat!
124(1)
7.11 Spacing Squares!
125(1)
7.12 Smallest/Largest Space!
126(1)
7.13 The Balancing Act
127(1)
7.14 The Longest Bridge
127(1)
7.15 Slicing the Loaf
128(11)
Solutions
129(10)
8 Beyond the Soma Set
139(10)
8.1 The Key Pieces
140(2)
8.2 The Nine V Pieces
142(3)
Solutions
145(4)
Appendix A Hints
149(2)
Appendix B Terms
151
B.1 Pentominoes
151(1)
B.2 Hexominoes
152