Maya Cosmic Number Puzzles

A forum for good logic/math puzzles.

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MCNP2010
Posts: 6
Joined: Tue Oct 04, 2016 2:25 pm UTC

Maya Cosmic Number Puzzles

Postby MCNP2010 » Tue Oct 04, 2016 4:38 pm UTC

00 __ __ __ 56 __ 42
__ 11 __ 04 __ __ __
__ __ __ __ 15 __ 01
__ 40 __ 33 __ 26 __
65 __ 51 __ __ __ __
__ __ __ 62 __ 55 __
24 __ 10 __ __ __ 66

Rules
1. No first digit is repeated in any row or column.
2. No Second digit is repeated in any row or column.
3. No two digit combination is repeated.
Note: This puzzles the numbers 0-6.

This is a simple example puzzle.
Can you fill in the blanks?
Stephen

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jaap
Posts: 2068
Joined: Fri Jul 06, 2007 7:06 am UTC
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Re: Maya Cosmic Number Puzzles

Postby jaap » Tue Oct 04, 2016 5:51 pm UTC

I used pen & paper. Although each step in the solve was easy, those steps are hard to spot. I needed to make lots of annotations, and it is easy to make so many that it becomes a big unreadable mess.
Spoiler:

Code: Select all

00 35 63 21 56 14 42
53 11 46 04 32 60 25
36 64 22 50 15 43 01
12 40 05 33 61 26 54
65 23 51 16 44 02 30
41 06 34 62 20 55 13
24 52 10 45 03 31 66

MCNP2010
Posts: 6
Joined: Tue Oct 04, 2016 2:25 pm UTC

Re: Maya Cosmic Number Puzzles

Postby MCNP2010 » Fri Oct 07, 2016 3:29 pm UTC

The easiest way is to take a column or row, figure out what is needed for the first digit, do the same for the second digit, and then figure out what combinations are allowed. Sometimes there is a first digit that can only be combined with one of the second digits.
Try this. It should make it a little less messy.

Tirear
Posts: 25
Joined: Fri Feb 05, 2016 5:42 pm UTC

Re: Maya Cosmic Number Puzzles

Postby Tirear » Fri Oct 07, 2016 5:48 pm UTC

MCNP2010 wrote:00 __ __ __ 56 __ 42
__ 11 __ 04 __ __ __
__ __ __ __ 15 __ 01
__ 40 __ 33 __ 26 __
65 __ 51 __ __ __ __
__ __ __ 62 __ 55 __
24 __ 10 __ __ __ 66

Rules
1. No first digit is repeated in any row or column.
2. No Second digit is repeated in any row or column.
3. No two digit combination is repeated.
Note: This puzzles the numbers 0-6.

This is a simple example puzzle.
Can you fill in the blanks?
Stephen

Spoiler:
The placement of the second digits are the same as the first digits flipped diagonally. This means that I can look at just one of the digits with the added rule combinations of numbers and their mirrors cannot repeat. The obvious implication is that the main diagonal has to contain all 7 numbers, as otherwise a palindrome would repeat. Do other diagonals share this requirement? Actually, doesn't it look like all diagonals occur in the same order? By assuming this pattern is real and connecting diagonals to get a length of seven, I get the following solution:
0362514
5140362
3625140
1403625
6251403
4036251
2514036
This seems to satisfy all of the rules.

MCNP2010
Posts: 6
Joined: Tue Oct 04, 2016 2:25 pm UTC

Re: Maya Cosmic Number Puzzles

Postby MCNP2010 » Mon Oct 10, 2016 2:49 pm UTC

The spoiler is correct. That is why this is only a simple example. This puzzle is made from a self-orthogonal Latin square.

generalz
Posts: 10
Joined: Wed Jan 14, 2015 11:18 am UTC
Location: Central Europe

Re: Maya Cosmic Number Puzzles

Postby generalz » Wed Oct 12, 2016 3:42 pm UTC

Cool puzzle! Fun to solve :)


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