Is It Me Who Is One Of The Few Who Sees Patterns?

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BTDT
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10 Jul 2019, 10:07 am

I routinely conduct experiments in my garden to understand how to grow better flowers.



Mona Pereth
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10 Jul 2019, 11:14 am

hurley4456 wrote:
synchromystic wrote:
hurley4456 wrote:
Can you complete the following pattern (next row in the sequence)....?

1
11
21
1211
111221
.................


312211
13112221
1113213211
31131211131221
13211311123213112211
1113122113311213121113212221
311311222123211211131112311312113211


Very good!

For those interested in the recurcive pattern, you use the following rules:
- The successive row is derived from preceeding row (a given)
- By progessing from left to right, consider each number set as an individual element ( i.e. Row 5: 111, 22, and 1 are individual sets
- Count the number of elements per set and arrange left to right numerically ( i.e. Row 5: There exists three (3) 1's, two (2) 2's, and one (1) 1.
(312211) = row 6

I might have been able to see this pattern had I been shown maybe three or four more rows.

hurley4456 wrote:
I have another one, but this is derived from vedic mathematics, and I spent my some time working on it....Note: This is a visual pattern based on the shifting on numerical elements. Also, row N is supposed to be shifted to the right N-1 times (hint-space bar). So, if you write it out again by shifting row 2 one time, row 3 two times and so forth, it may help. This is is how you convert a square into an inverted triangle... You can explain verbally or visually based on preferree method..Consider the following term written as ABCD^(2)

3568^(2) =

09253664
306096
3680
48

The way you can preserve visual patterns in text, here on this message board, is by using the "code" tag, which among other things uses a monospaced font and preserves indentation. For example:

Code:
3568^(2) =

09253664
 306096
  3680
   48

(Quote this message to see how to use the "code" tag.)

Anyhow, could you provide a few more examples of the pattern you are trying to show here?


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hurley4456
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10 Jul 2019, 7:40 pm

Code:
 N = 1
5^(2) =

25


Code:
 N = 2
13^(2) =

0109
 06


Code:
 N = 3
246^(2) =

041636
 1648
  24


Code:
 N = 5
12345^(2) =

0103091625
 04122440
  061630
   0820
    10



auntblabby
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10 Jul 2019, 7:59 pm

i'm a pattern spotter. i'm not the only one. the composer George Gershwin "heard" a melody or rhythm in the jostling mechanism of the NYC subway which he incorporated into his magnum opus Rhapsody in Blue.



Mona Pereth
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10 Jul 2019, 9:20 pm

To hurley4456: I've replied in the separate thread Number patterns, in a more appropriate section of this board.


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blazingstar
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10 Jul 2019, 11:23 pm

hurley4456 wrote:
. WE are limited to our frame of referance and global scope of discreet observations. I have been wrong numerous times, but that is the prerequsite for growth. We would inherently decay if considering ALL our opinions /beliefs as true. I'm just going off a tangent btw...


An astute observation.


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