# TooT

In this post I’d like to introduce TooTs, a mix between crossword puzzles and numbers. The grid looks just like a crossword puzzle, but instead of words the grid has to be filled with numbers. Vertical numbers must be read top-down. Thus if the digits 3, 9 and 5 are listed from the top down, the number would be 395.

Every clue consists of three numbers. Two of them have to be added together to get the number to be filled into the grid.
Example: the clue is 7, 8 and 13. Then the solution is either 7+8=15, 7+13=20 or 8+13=21. The name TooT is shorthand for Two out of Three.

Here is a 5×5 exercise:

 Horizontal 1) 16, 17, 18 3) 20, 26, 36 4) 142, 139, 145 8) 6819, 20002, 30134 11) 18, 20, 22 12) 11, 24, 36 Vertical 2) 17, 19, 23 3) 18, 36, 47 5) 400, 406, 418 6) 18, 106, 256 7) 15, 25, 190 9) 1, 51, 61 10) 11, 12, 13

A 7×7 exercise:

 Horizontal 1) 16891 18930 6) 382, 23, 67 8) 25, 8, 17 10) 32, 14, 17 11) 2913476, 173823, 1876543 12) 61, 23, 38 13) 45, 11, 34 14) 865, 249, 444 16) 13947, 1171, 5419 Vertical 2) 53, 26, 27 3) 8843269, 332160, 345612 4) 22, 3, 5 5) 12263, 5321, 6942 7) 62652, 23487, 39165 9) 591, 109, 482 10) 374, 25, 98 14) 83, 16, 26 15) 54, 17, 27

You can check your solution here and here

A 9×9 puzzle:

 Horizontal 1. 108, 132, 146 4. 2, 166, 660 6. 2497, 9892, 12837 9. 0, 7, 24 11. 212, 669, 774 12. 4, 19, 30 13. 18, 27, 27 15. 14, 33, 40 16. 242, 977, 2236 17. 596, 903, 2770 18. 25, 31, 52 20. 4, 11, 22 21. 7, 9, 35 22. 126, 343, 422 24. 3, 10, 13 26. 2918, 74181, 82214 28. 292, 320, 398 29. 66, 191, 228 Vertical 1. 38, 96, 224 2. 4, 41, 77 3. 239, 1644, 4146 4. 19, 29, 35 5. 3, 7, 227 7. 20, 36, 38 8. 1, 14, 17 10. 12591, 13966, 31881 12. 706, 10961, 36955 14. 186, 210, 367 15. 102, 153, 279 19. 2287, 3330, 3945 21. 112, 239, 304 22. 19, 26, 45 23. 6, 23, 87 25. 74, 299, 315 26. 33, 49, 52 27. 12, 12, 12

You can check your solution here and here

In a subsequent post, probably next month, I hope to publish some variations.

# Chaos checks

In september last year, I wrote about ‘Vinken’ or ‘Checks’, a Sanders puzzles publication. My main comment was that it was a nice puzzle variation, but that the puzzles were slightly too easy. Sanders puzzels corrected this in later issues.

I did come up wit a slight variation, though the puzzle I designed didn’t make the puzzle difficult enough for my tast. Anyway, I’d like to present this variation to the world.

The rules are simple:
– every row and column, and every 9 sized area, contains 3 checks.
– the checkmarks are never adjacent horizontally or vertically. They may be adjacent diagonally.
– some checkmarks have been pre-filled, as well as some empty squares.

Here are three examples.
puzzle 1*
As you can see some checks and some empty positions have been given. You hve to derive the position of the remaining checks.

puzzle 2*
This time only some empty positions have been given as clues.

puzzle 3**
Again only some empty positions have been given as clues.

You can check your solutions here

A new puzzle is published every Friday.

# 1-8

The Dutch reformed-christian ‘Reformatorisch Dagblad’ twice a year publishes an extra puzzle issue for its subscribers. This weeks puzzle type is 1-8, invented by Marijke Balmaekers, and published in the childrens section of the ‘Vakantie Doe Boek’ of the reformatorisch Dagblad.

The numbers one to eight have been arranged in a 5×5 grid in such a way that:

1. Each of the numbers one to eight is used exactly once

2. There are always one or two numbers in every row, column or diagonal

3. the sum of the numbers is listed as a clue at the end of the row/column/diagonal

Example:

number 1

number 2

number 3

You can check your solutions here, here and here

# Tectonics

The free Dutch daily newspaper Metro recently – I think it was in september – published a new type of puzzle calles tectonics.
The puzzle area usually is a rectangle, for example 4×5, which is subdivided into areas of size 1 to 5. An area of size 1 contains just the number 1, an area of size 2 contains the numbers 1 and 2, and so on, until an area of size 5 which contains the numbers 1, 2, 3, 4 and 5 exactly once.
A second rule is that the same number may never be adjacent: not horizontally, not vertically, and not diagonally.
Note that there is no rule that a number may appear just once in a row or column.

A complete filled tectonic may look like:

The puzzles in Metro are designed by Denksport, the largest puzzle publisher in the Netherlands. In the magazine shop I discovered a magazine with these puzzles.
Tectonic puzzle booklet can be ordered here. I think the order page is only in Dutch, and I’m not sure if you can mail order from abroad.

Nr 1)*

Nr 2)*

Nr 3)**

You can check your solutions here, here, and here.

The publisher claims that these puzzles are a new international rage. That may well be true, but a quick search on “tectonic puzzles” turned up just puzzles on plate tectonics.