Innies & Outies

[Icewynd]

GOTCHA! You were thinking of belly buttons, weren't you?

Actually, I'm talking about dividing up the lotto numbers according to their placement on the playslip.

Our playslips are arranged into 7 groups of 7 numbers, and I'm sure most playslips for 6/49 lotteries are similar. When you count up the numbers around the perimeter of the playslip block (the "OUTs") you will find that there are 24 of them (1-8,14,15,21,22,28,29,35,36,42-49) while the remaining inner block (the "INs") totals 25 numbers (9-13,16-20,23-27,30-34,37-41). This allows for a 50/50 breakdown (OK, 48.8/51.2) similar to breaking down the numbers into LOW/HIGH or ODD/EVEN groupings.

And, indeed, this categorization shows a similar distribution to the L/H and O/E distributions. 31% of draws will show a 3/3 spread, 49% will be either 2OUTs/4 INS or 4INs/2 OUTS, and 17% will be either 1/5 or 5/1, with the remaining 3% being 6/0 or 0/6.

The IN/OUT categories show clear position preferences. Position 1 and Position 6 will be "OUT" numbers 72% of the time. Position 3 and Position 4 prefer the "IN" numbers about 69% of the time. And Position 2 and Position 5 are the most equal with 57% INs and 43% OUTs.

Just another way of looking at the numbers that might shake out a winner.

 

[PAB]

Excellent work as usual Icewynd ,

I have kept this sort of data for the UK Lotto since it's inception back in 1994.
We have had a few changes to our PlaySlip structure over those years and now we have a 10 column by 5 rows structure, with the last row having only 9 numbers.

Anyway, I have calculated the total combinations for a C(49, 6) Lotto based on your Outer = 24 Numbers and your Inner = 25 Numbers.

Here are the results...

0 Outer + 6 Inner = 177,100 combinations which = 1.27% and expected 1 in every 78.96 draws.
1 Outer + 5 Inner = 1,275,120 combinations which = 9.12% and expected 1 in every 10.97 draws.
2 Outer + 4 Inner = 3,491,400 combinations which = 24.97% and expected 1 in every 4.01 draws.
3 Outer + 3 Inner = 4,655,200 combinations which = 33.29% and expected 1 in every 3. draws.
4 Outer + 2 Inner = 3,187,800 combinations which = 22.80% and expected 1 in every 4.39 draws.
5 Outer + 1 Inner = 1,062,600 combinations which = 7.60% and expected 1 in every 13.16 draws.
6 Outer + 0 Inner = 134,596 combinations which = 0.96% and expected 1 in every 103.89 draws.
Total = 13,983,816 combinations which = 100.00%

I just thought you might find this interesting or useful!

Regards,
PAB


-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-
12:45, restate my assumptions.
(1) Mathematics is the language of nature.
(2) Everything around us can be represented and understood through numbers.
(3) If you graph the numbers of any system, patterns emerge. Therefore, there are patterns, everywhere in nature.

 

[Icewynd]

Thanks for the info, PAB!

Good to know what the expected values are. I see that the empirical evidence is running pretty true to the expected values, although I see that we are running a bit ahead on 6/0, 0/6 drawn combinations and a bit behind on 3/3s. But that's just part of the variations of the game.

 

[PAB]

Hi Icewynd,

If you want me to post the statistics for the Expected, Actual & Difference drawn for the Combinations, Percent & Expected 1 in Every drawn, please let me know.

Regards,
PAB


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12:45, restate my assumptions.
(1) Mathematics is the language of nature.
(2) Everything around us can be represented and understood through numbers.
(3) If you graph the numbers of any system, patterns emerge. Therefore, there are patterns, everywhere in nature.

 

[Icewynd]

Sure, if its not too much trouble, go for it!

Thanks, Mate

 

[PAB]

Hi Icewynd,

Sure, if it's not too much trouble, go for it!

Here is the statistical data for the Canadian 649 Lotto upto and including draw 3,085 as outlined in my previous post...

0 Outer + 6 Inner - EXPECTED = 39.07 combinations, ACTUAL = 35 combinations, DIFFERENCE = -4.07
1 Outer + 5 Inner - EXPECTED = 281.31 combinations, ACTUAL = 286 combinations, DIFFERENCE = 4.69
2 Outer + 4 Inner - EXPECTED = 770.25 combinations, ACTUAL = 780 combinations, DIFFERENCE = 9.75
3 Outer + 3 Inner - EXPECTED = 1,026.99 combinations, ACTUAL = 1,028 combinations, DIFFERENCE = 1.01
4 Outer + 2 Inner - EXPECTED = 703.27 combinations, ACTUAL = 716 combinations, DIFFERENCE = 12.73
5 Outer + 1 Inner - EXPECTED = 234.42 combinations, ACTUAL = 214 combinations, DIFFERENCE = -20.42
6 Outer + 0 Inner - EXPECTED = 29.69 combinations, ACTUAL = 26 combinations, DIFFERENCE = -3.69

0 Outer + 6 Inner - EXPECTED = 1.27% combinations, ACTUAL = 1.13% combinations, DIFFERENCE = -0.13%
1 Outer + 5 Inner - EXPECTED = 9.12% combinations, ACTUAL = 9.27% combinations, DIFFERENCE = 0.15%
2 Outer + 4 Inner - EXPECTED = 24.97% combinations, ACTUAL = 25.28% combinations, DIFFERENCE = 0.32%
3 Outer + 3 Inner - EXPECTED = 33.29% combinations, ACTUAL = 33.32% combinations, DIFFERENCE = 0.03%
4 Outer + 2 Inner - EXPECTED = 22.80% combinations, ACTUAL = 23.21% combinations, DIFFERENCE = 0.41%
5 Outer + 1 Inner - EXPECTED = 7.60% combinations, ACTUAL = 6.94% combinations, DIFFERENCE = -0.66%
6 Outer + 0 Inner - EXPECTED = 0.96% combinations, ACTUAL = 0.84% combinations, DIFFERENCE = -0.12%

0 Outer + 6 Inner - EXPECTED 1 in Every = 78.96 combinations, ACTUAL 1 in Every = 88.14 combinations, DIFFERENCE 1 in Every = 9.18
1 Outer + 5 Inner - EXPECTED 1 in Every = 10.97 combinations, ACTUAL 1 in Every = 10.79 combinations, DIFFERENCE 1 in Every = -0.18
2 Outer + 4 Inner - EXPECTED 1 in Every = 4.01 combinations, ACTUAL 1 in Every = 3.96 combinations, DIFFERENCE 1 in Every = -0.05
3 Outer + 3 Inner - EXPECTED 1 in Every = 3.00 combinations, ACTUAL 1 in Every = 3.00 combinations, DIFFERENCE 1 in Every = 0.00
4 Outer + 2 Inner - EXPECTED 1 in Every = 4.39 combinations, ACTUAL 1 in Every = 4.31 combinations, DIFFERENCE 1 in Every = -0.08
5 Outer + 1 Inner - EXPECTED 1 in Every = 13.16 combinations, ACTUAL 1 in Every = 14.42 combinations, DIFFERENCE 1 in Every = 1.26
6 Outer + 0 Inner - EXPECTED 1 in Every = 103.89 combinations, ACTUAL 1 in Every = 118.65 combinations, DIFFERENCE 1 in Every = 14.76

I hope this is clear enough mate, if not, I will try and elaborate in a bit more detail!

Regards,
PAB


-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-
12:45, restate my assumptions.
(1) Mathematics is the language of nature.
(2) Everything around us can be represented and understood through numbers.
(3) If you graph the numbers of any system, patterns emerge. Therefore, there are patterns, everywhere in nature.

 

[Icewynd]

I hope this is clear enough mate, if not, I will try and elaborate in a bit more detail!

Very clear and very comprehensive, thanks! Awesome information, as usual.

Looks like we should see more 6/0 combos over the next 5-10 years to even up the score. Too bad these happen so infrequently -- very difficult to chase!

 

[PAB]

Hi Icewynd,

Very clear and very comprehensive, thanks! Awesome information, as usual.

You're very welcome mate.

Looks like we should see more 6/0 combos over the next 5-10 years to even up the score. Too bad these happen so infrequently -- very difficult to chase!

I take it that your crystal ball is still in the menders?

Regards,
PAB


-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-
12:45, restate my assumptions.
(1) Mathematics is the language of nature.
(2) Everything around us can be represented and understood through numbers.
(3) If you graph the numbers of any system, patterns emerge. Therefore, there are patterns, everywhere in nature.

 

[sangoma123]

GOTCHA! You were thinking of belly buttons, weren't you?

This remember me the jimi´s hendrix song:"Belly button window"...

Congratulations,Icewynd and PAB for your aports.

It´s a very good post.

Thanks

 

[PAB]

Hi Icewynd,

Have you had any luck with your strategy of late?

Regards,
PAB


-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-
12:45, restate my assumptions.
(1) Mathematics is the language of nature.
(2) Everything around us can be represented and understood through numbers.
(3) If you graph the numbers of any system, patterns emerge. Therefore, there are patterns, everywhere in nature.

 

[Icewynd]

Actually, I have done quite well with it. The way I am using it is if I see that one position has been In or Out for 4 or 5 draws in a row, I will bet the other way and, often, I'm right.

 

[PAB]

Hi Icewynd,

I thought I would take this one step further with respect to the Matrix approach.
Let's assume that the Playslip runs from left to right and we have a 7x7 Matrix.

This would give us a Basic 7x7 Matrix Grid of...

01,02,03,04,05,06,07
08,09,10,11,12,13,14
15,16,17,18,19,20,21
22,23,24,25,26,27,28
29,30,31,32,33,34,35
36,37,38,39,40,41,42
43,44,45,46,47,48,49

Now, if we take this to the next level there are FOUR scenarios that we can extract from this and apply numerical analysis to each of them.
To keep it simple, we will structure the FOUR scenarios as Columns, this way, we can construct formulas to give us meaningful data to analyse.

Here are the scenarios based on the Basic 7x7 Matrix Grid.

(1) Horizontal Columns

01,08,15,22,29,36,43
02,09,16,23,30,37,44
03,10,17,24,31,38,45
04,11,18,25,32,39,46
05,12,19,26,33,40,47
06,13,20,27,34,41,48
07,14,21,28,35,42,49

(2) Vertical Columns

01,02,03,04,05,06,07
08,09,10,11,12,13,14
15,16,17,18,19,20,21
22,23,24,25,26,27,28
19,20,21,22,23,24,25
36,37,38,39,40,41,42
43,44,45,46,47,48,49

(3) Diagonal Left > Right Columns

01,02,03,04,08,15,22
09,10,11,12,16,23,30
17,18,19,20,24,31,38
25,26,27,28,32,39,46
33,34,35,05,40,47,29
41,42,06,13,48,36,37
49,07,14,21,43,44,45

(4) Diagonal Right > Left Columns

07,13,19,25,31,37,43
06,12,18,24,30,36,01
05,11,17,23,29,02,08
04,10,16,22,03,09,15
14,20,26,32,38,44,49
21,27,33,39,45,42,48
28,34,40,46,35,41,47

I do actually keep this data for the UK Main 649 Lotto but thought you mind find the concept useful!

Regards,
PAB


-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-
12:45, restate my assumptions.
(1) Mathematics is the language of nature.
(2) Everything around us can be represented and understood through numbers.
(3) If you graph the numbers of any system, patterns emerge. Therefore, there are patterns, everywhere in nature.

 

[Icewynd]

Some interesting ideas here, PAB!

I thought I would take this one step further with respect to the Matrix approach.
Let's assume that the Playslip runs from left to right and we have a 7x7 Matrix.

This would give us a Basic 7x7 Matrix Grid of...

01,02,03,04,05,06,07
08,09,10,11,12,13,14
15,16,17,18,19,20,21
22,23,24,25,26,27,28
29,30,31,32,33,34,35
36,37,38,39,40,41,42
43,44,45,46,47,48,49

Actually, our playslip is reversed, so your horizontal is my vertical and vv.

Now, if we take this to the next level there are FOUR scenarios that we can extract from this and apply numerical analysis to each of them.
To keep it simple, we will structure the FOUR scenarios as Columns, this way, we can construct formulas to give us meaningful data to analyse.

Here are the scenarios based on the Basic 7x7 Matrix Grid.
(1) Horizontal Columns
(2) Vertical Columns
(3) Diagonal Left > Right Columns
(4) Diagonal Right > Left Columns

I do track the Horizontal and Vertical columns. It is quite useful as you know that either 2 or 3 of both H & V columns will be missing 82% of the time. The other 18% is made up of 4,1 or 5 missing -- in that order. We haven't had 6 missing yet in 1670 draws but, after all, there are only 7 possible combos from each row or column, so 49 total out of almost 14M.

Also, the missing row or column tends to repeat a lot, so quite often 1 or 2 of those missing last draw will miss again.

I designate the horizontals by a letter (A-G) and the verticals by number (1-7) so that each number in a draw has an 'address' e.g. F1, C6, as in Excel.

I hadn't thought of doing diagonals. That is a fresh approach that I will have to think about.

 

[PAB]

Hi Icewynd,

I hadn't thought of doing diagonals. That is a fresh approach that I will have to think about.

I just thought you might be interested in another angle involving Matrix Grids etc!
I don't know if any useable statistics can be gleamed from doing an analysis but it is just something else worth considering.

Regards,
PAB


-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-
12:45, restate my assumptions.
(1) Mathematics is the language of nature.
(2) Everything around us can be represented and understood through numbers.
(3) If you graph the numbers of any system, patterns emerge. Therefore, there are patterns, everywhere in nature.

 

[sangoma123]

Hi Icewynd,

I thought I would take this one step further with respect to the Matrix approach.
Let's assume that the Playslip runs from left to right and we have a 7x7 Matrix.

This would give us a Basic 7x7 Matrix Grid of...

01,02,03,04,05,06,07
08,09,10,11,12,13,14
15,16,17,18,19,20,21
22,23,24,25,26,27,28
29,30,31,32,33,34,35
36,37,38,39,40,41,42
43,44,45,46,47,48,49

Now, if we take this to the next level there are FOUR scenarios that we can extract from this and apply numerical analysis to each of them.
To keep it simple, we will structure the FOUR scenarios as Columns, this way, we can construct formulas to give us meaningful data to analyse.

Here are the scenarios based on the Basic 7x7 Matrix Grid.

(1) Horizontal Columns

01,08,15,22,29,36,43
02,09,16,23,30,37,44
03,10,17,24,31,38,45
04,11,18,25,32,39,46
05,12,19,26,33,40,47
06,13,20,27,34,41,48
07,14,21,28,35,42,49

(2) Vertical Columns

01,02,03,04,05,06,07
08,09,10,11,12,13,14
15,16,17,18,19,20,21
22,23,24,25,26,27,28
19,20,21,22,23,24,25
36,37,38,39,40,41,42
43,44,45,46,47,48,49

(3) Diagonal Left > Right Columns

01,02,03,04,08,15,22
09,10,11,12,16,23,30
17,18,19,20,24,31,38
25,26,27,28,32,39,46
33,34,35,05,40,47,29
41,42,06,13,48,36,37
49,07,14,21,43,44,45

(4) Diagonal Right > Left Columns

07,13,19,25,31,37,43
06,12,18,24,30,36,01
05,11,17,23,29,02,08
04,10,16,22,03,09,15
14,20,26,32,38,44,49
21,27,33,39,45,42,48
28,34,40,46,35,41,47

I do actually keep this data for the UK Main 649 Lotto but thought you mind find the concept useful!

Regards,
PAB


-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-
12:45, restate my assumptions.
(1) Mathematics is the language of nature.
(2) Everything around us can be represented and understood through numbers.
(3) If you graph the numbers of any system, patterns emerge. Therefore, there are patterns, everywhere in nature.

Hello PAB & Icewynd:

Very Interesting post and stuff.

Thanks for your brilliant and clever ideas.

 

[PAB]

Hello PAB & Icewynd:

Very interesting post and stuff.

Thanks for your brilliant and clever ideas.

Thanks Sangoma, but the difficult part is transferring this data into winning combinations.
If you have any ideas then feel free to post them .

Regards,
PAB


-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-
12:45, restate my assumptions.
(1) Mathematics is the language of nature.
(2) Everything around us can be represented and understood through numbers.
(3) If you graph the numbers of any system, patterns emerge. Therefore, there are patterns, everywhere in nature.

 

[Icewynd]

Thanks, sangoma!

the difficult part is transferring this data into winning combinations.

The only thing that I have found is that there is a strong correlation between several of the positions and the IN/OUT classification.

Positions 1 and 4 are likely to be OUT about 73% of the time. All this really means is that P1 is likely to be 1-8, 14,15, 21, or 22 73% of the time and P6 is likely to be 35, 36 or 42-49 73% of the time.

Likewise P3 and P4 are likely to be IN 69% of the time.

P2 and P5 have a slight bias towards IN, but only 57% vs. 43% for OUT.

Really, IN and OUT are a way of systematizing the most likely candidates for each position in a combination.

 

[PAB]

Hi Icewynd,

Really, IN and OUT are a way of systematizing the most likely candidates for each position in a combination.

Yes I can see what you're saying.

This is very similar to the statistics that I keep for the Lower & Upper limits for each of the positions P1...P6, then I just adjust them by taking out those at the bottom and at the top that have appeared very rarely in the overall duration of the Lotto.

Nice work as usual Icewynd.

Regards,
PAB


-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-
12:45, restate my assumptions.
(1) Mathematics is the language of nature.
(2) Everything around us can be represented and understood through numbers.
(3) If you graph the numbers of any system, patterns emerge. Therefore, there are patterns, everywhere in nature.

 

[sangoma123]

First,sorry.I have pasted this answer in a different topic ("Filters"..)

Thanks Sangoma, but the difficult part is transferring this data into winning combinations.
If you have any ideas then feel free to post them .

Regards,
PAB


-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-
12:45, restate my assumptions.
(1) Mathematics is the language of nature.
(2) Everything around us can be represented and understood through numbers.
(3) If you graph the numbers of any system, patterns emerge. Therefore, there are patterns, everywhere in nature.

Hi Pab:

The best help I can do in this post is in your own words:

Hi Everyone,

Just a follow up to my previous post.
This is just a basic example to give you the idea.
If you were to pick a set of numbers, like the Fibonacci numbers 01, 02, 03, 05, 08, 13, 21, 34 for example, you can track this Data Set for EACH draw to see how many of the Fibonacci numbers get drawn. You can then summarise this data into a table to see the LOWER & UPPER drawn limits. Obviously the LOWER limit would be 0.

In the UK Lotto to date the data table looks like this:

0 = 641 Times Drawn
1 = 734 Times Drawn
2 = 351 Times Drawn
3 = 72 Times Drawn
4 = 3 Times Drawn
5 = 1 Times Drawn
6 = 0 Times Drawn
Total = 1,802 Total Draws

So if we were to include this as one of our filters we would probably use the LOWER limit of 0 with an UPPER limit of say 2 for example. This would obviously disregard a total of 76 draws drawn to date, which is not a great impact in the overall scheme of things.

Now the 8 Fibonacci numbers from C(49,6) are our TABLE 8 figures from the previous post of:-

0 + 6 = 4,496,388 Combinations
1 + 5 = 5,995,184 Combinations
2 + 4 = 2,835,560 Combinations
3 + 3 = 596,960 Combinations
4 + 2 = 57,400 Combinations
5 + 1 = 2,296 Combinations
6 + 0 = 28 Combinations

So using the LOWER & UPPER limits of 0 & 2 respectively this would disregard 656,684 total combinations, or 4.70%.

The above principle basically applies to any Data Set of numbers, regardless of how many numbers are in the Data Set.

Regards,
PAB


-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-
12:45, restate my assumptions.
(1) Mathematics is the language of nature.
(2) Everything around us can be represented and understood through numbers.
(3) If you graph the numbers of any system, patterns emerge. Therefore, there are patterns, everywhere in nature.

You can use every line of:

(1) Horizontal Columns (0-2 numbers) or another range

(2) Vertical Columns (0-2 numbers) or another range

(3) Diagonal Left > Right Columns (0-2 numbers) or another range

(4) Diagonal Right > Left Columns (0-2 numbers) or another range


It´s the same idea I published in this old post:

Hello Pab:

You are the teacher, not I, but I´ll try to help.

I think that the way would be something like that:


1 º-Go to the page of all the series:

http: // oeis.org/wiki/Index_tEIS: _ Section_Se*sequences_which_agree_for_a_long_time


2 º-We search in the the thousands of possible series the one that we are interested for our game.

For example. A002048:

The serie it consists these numbers between 1 and 49:

1, 2, 4, 5, 8, 10, 14, 15, 16, 21, 22, 25, 26, 28, 33, 34, 35, 36, 38, 40, 42, 46, 48, 49



3 ª-Now is when you can analize how many numbers of this serie, they appear normally in every combination.



This page has thousands of possible filters (so many as series), because of it I said you that there is a lot of information with possibilities of being applied.

Regards

Regards,my friends

 

[PAB]

Hi Sangoma,

You might still have time to edit the other post and delete it and just put "Posted In Error"!

Regards,
PAB


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12:45, restate my assumptions.
(1) Mathematics is the language of nature.
(2) Everything around us can be represented and understood through numbers.
(3) If you graph the numbers of any system, patterns emerge. Therefore, there are patterns, everywhere in nature.