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 Forum index » Diversions » TimeWasters
Can You See The Patterns..?
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wustvn
Greenhorn

Joined: 13 Jan 2008
Posts: 3

Can You See The Patterns..?

Hello to all of you guys,
Is there any of you can help me finding the relationships/patterns of table that I attach below? (file name: puzle.pdf)
(The table consist of 100 rows and 20 columns, contains of numbers 0-9).
Thank's.

EDIT:
A friend of mine gave me this table actually with 350 rows x 284 columns, which every cell contains of a single number from 0-9. Then by finding its patterns, he asked me to fill in the columns 1-20 for the rows 351,352,etc (meanwhile, ignore the columns 21-284 to make it simpler). I just can't find its patterns, that's why I need your help guys...

I just found by myself that THIS IS THE MAGIC OF THIS TABLE: no matter how you arrange the order of each four columns, there will be at least one number repeated, not just to the next four columns [(x-4,y) to (x+4,y)], but also to the next row [(x,y-1) to (x,y+1)]. Sometimes this may not happen indeed.

Take rows 1-2 as example. Letís say columns 1-4 as section A, columns 5-8 as section B, columns 9-12 as section C, columns 13-16 as section D, columns 17-20 as section E.
The numbers that repeated to the next row (row 1 to row 2):
5,6 in section A ; 8 in section B ; 7,3,8 in section C ; 9 in section D ; 4 in section E.
The numbers that repeated to the next four columns (section):
Row 1:
No numbers from section A to section B.
7,8 from section B to section C.
No numbers from section C to section D.
6 from section D to section E.
Row 2:
4,3 from section A to section B.
8,3 from section B to section C.
No numbers from section C to section D.
9 from section D to section E.
Now you can try by changing the order of section from A-B-C-D-E to A-C-E-B-D or A-D-B-E-C or A-E-D-C-B or B-C-D-E-A.

Lately, I also found that this occurs on the opposite way too, if it is seen by every four rows.
Take columns 1-2 as example. Letís say rows 1-4 as section A, rows 5-8 as section B, rows 9-12 as section C, etc.
The numbers that repeated to the next column (column 1 to column 2):
0,4 in section A ; 3 in section B ; no number in section C.
The numbers that repeated to the next four rows (section):
Column 1:
3 from section A to section B.
1 from section B to section C.
Column 2:
5 from section A to section B.
3 from section B to section C.
Now you can try by changing the order of section from A-B-C to A-C-B or B-A-C.

So please help me guys finding its patterns to fill in the columns 1-20 for the rows 351,352,etc.

Thx.
puzle.pdf
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PostPosted: Sun Jul 20, 2008 8:02 am
Last edited by wustvn on Wed Sep 10, 2008 9:55 am; edited 8 times in total
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Adventurik
Decorated


Joined: 30 Jun 2008
Posts: 262

Would it be possible to replace numbers with colors? Just wondering.

PostPosted: Sun Jul 20, 2008 12:23 pm
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DeformedUncleLouie
Decorated


Joined: 22 May 2005
Posts: 219

where did this come from?
_________________
Hold, my cold dangerous fink.

PostPosted: Sun Jul 20, 2008 7:22 pm
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wustvn
Greenhorn

Joined: 13 Jan 2008
Posts: 3

It comes from:
Da Vinci Puzzles forum.
Thx.

PostPosted: Mon Jul 21, 2008 2:48 am
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wustvn
Greenhorn

Joined: 13 Jan 2008
Posts: 3

Now I'd like to post this problem in a different format. I re-numbered and re-arranged the tables like the file that I attach below, name Enigma.xls.
So there are now 284 tables with ten rows (0,1,2,..9) each, which every tables contain of numbers 1 to 40. The problem is how to put the next larger numbers 41,42,43 and so on, in the precise rows for each tables.
Thx.

Correction on Table 182:
Row 0 : ...20, 28
Row 1 : ...23, 38
Enigma.xls
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PostPosted: Mon Nov 17, 2008 8:20 am
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