Post on 23-Jan-2018
80 Challenging Tatami Puzzles
by Alejandro Erickson.http://tomokupuzzle.com
Copyright c⇥ by Alejandro Erickson, 2011.ISBN 978-0-9868121-0-1
2 Quickstart guide
Quickstart Guide
Tatami mats are traditional Japanese floor mats ( , , ). In tearooms, it is unlucky to have the corners of four mats touching atone point. That is, a “lucky” layout has no “+”-shapes formed bythe lines where mats meet each other.
Unlucky LuckyHas “+”s. Has no “+”s.
Mats are shown in the Tomoku puzzle beside their containing col-umn or below their containing row. Notice that a appears in both
a row and column. You must check both places before placing a .The order of the mats within each row and column does not matter.
Tomoku Puzzle. Lucky Solution.The object of the Tomoku puzzle game is to find a lucky layoutusing the mats shown in the rows and columns of the puzzle.
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A appears in its A stays in A stays inrow and column. its row. its column.
Are you ready for your first challenge? Try some of the smallergrids first. Come back later and read the tutorial for a few extratips.
Tutorial
To fill in a puzzle, use a short line to represent a or and a dotto represent a . Cross off mats you have used in the arrangement.To place a you must use one from both a row and a column.
Adding a uses one in botha row and a column.
A may only be placed onthe dark gray squares.
Your correct solution will almost always be the one shown in thebook. If it is not, just check that you have used the right numberof mats from each row and column and that your arrangement is
4 Quickstart guide
“lucky”.
Adding a verticalmat.
Adding ahorizontal mat. Completed puzzle.
Try to place mats which force the placement of others. For example,if the corners of two mats meet at a grid intersection, then either a
or a must be placed at that intersection to avoid an unlucky“+”. Another strategy is to place the mats first.Visit http://tomokupuzzle.com for even more tips and the Tomokuweb game.
Acknowledgements
I am grateful to Donald Knuth, Frank Ruskey, Martín Matamala,and Cliff Stoll. Their work and their words inspired me to createthis puzzle book and the Tomoku web game. I also thank MichaelLa Croix, a friend and diagrams expert, who gave valuable adviceon early renditions of the puzzles.
Tomoku was conceived in a conversation between Martín Mata-mala and myself over coffee in Plaza Sotomayor in Valparaíso,Chile, when he asked how hard it is to recover a tatami tilingfrom its tomographic projections.
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Puzzle 1
Puzzle 2
6 3 � 6 Puzzles
Puzzle 3
Puzzle 4
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Puzzle 5
Puzzle 6
8 3 � 6 Puzzles
Puzzle 7
Puzzle 8
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Puzzle 9
Puzzle 10
10 3 � 10 Puzzles
Puzzle 11
Puzzle 12
Puzzle 13
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Puzzle 14
Puzzle 15
Puzzle 16
12 3 � 10 Puzzles
Puzzle 17
Puzzle 18
Puzzle 19
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Puzzle 20
Puzzle 21
14 4 � 10 Puzzles
Puzzle 22
Puzzle 23
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Puzzle 24
Puzzle 25
16 4 � 10 Puzzles
Puzzle 26
Puzzle 27
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Puzzle 28
Puzzle 29
18 5 � 12 Puzzles
Puzzle 30
Puzzle 31
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Puzzle 32
Puzzle 33
20 5 � 12 Puzzles
Puzzle 34
Puzzle 35
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Puzzle 36
Puzzle 37
22 5 � 12 Puzzles
Puzzle 38
Puzzle 39
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Puzzle 40
Puzzle 41
24 5 � 12 Puzzles
Puzzle 42
Puzzle 43
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Puzzle 44
Puzzle 45
26 5 � 12 Puzzles
Puzzle 46
Puzzle 47
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Puzzle 48
Puzzle 49
28 6 � 12 Puzzles
Puzzle 50
Puzzle 51
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Puzzle 52
Puzzle 53
30 6 � 12 Puzzles
Puzzle 54
Puzzle 55
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Puzzle 56
Puzzle 57
32 6 � 12 Puzzles
Puzzle 58
Puzzle 59
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Puzzle 60
Puzzle 61
34 6 � 12 Puzzles
Puzzle 62
Puzzle 63
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Puzzle 64
Puzzle 65
36 6 � 12 Puzzles
Puzzle 66
Puzzle 67
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Puzzle 68
Puzzle 69
38 9 � 14 Puzzles
Puzzle 70
Puzzle 71
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Puzzle 72
Puzzle 73
40 9 � 14 Puzzles
Puzzle 74
Puzzle 75
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Puzzle 76
Puzzle 77
42 9 � 14 Puzzles
Puzzle 78
Puzzle 79
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Puzzle 80
44 Solutions
3 � 6 Solutions.
3 � 10 Solutions.
4 � 10 Solutions.
5 � 12 Solutions.
6 � 12 Solutions.
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9 � 14 Solutions.