Numbers are seemingly random and unpredictable - yet fractals are totally predictable!
This raises 2 questions:
1) What exactly is predictable about fractals?
link:s://:.youtube.com/watch?v=kbKtFN71Lfs
In this fractal example we can observe that the dots form a predictable pattern in terms of what areas are likely to hit and what areas are likely to remain unhit, i.e. the small black upside-down triangle regions - and this pattern must form based on a trail that "snakes" around the big white triangle region.
If it were totally unpredictable then the enclosed area would form a solid triangle of equal distribution without any of the small black upside-triangles (representing mostly unhit areas) - and not all areas of the triangle are accessible at any one time - hence has more to do with the snake's intelligence for want of a better interpretation.
2) How to apply fractals to roulette?
link:s://:.youtube.com/watch?v=kbKtFN71Lfs
Observation A: It seems the most obvious mechanism behind the fractal example is dependency: each trial forms a dot and draws a line based on where the previous dots and lines were drawn - forming a trail of dots and lines that are connected by their relationship = dependency. If the fractal was based on independent trials then the starting point would always be the same, and the dots and lines would never form a predictable pattern - unless they were not equally-likely. However, the fractal example is in fact using equally-likely outcomes.
How to apply this mechanism to Roulette? Answer: cycles! A cycle begins and ends on a repeat, which is carried over to the next cycle as the defining element:
1231
11
122
22
22
212
The cycle always has more chance of ending in order 1 because the outcome depends on the starting partition:
2... more chance finish on 2.
Observation B: The fractal example is based on 3 outcomes that are used to create multiple outcomes - representing the many possible spaces where a dot/line could end up being drawn within the enclosed area of the triangle.
With cycles we can use 3 outcomes to generate multiple outcomes too, i.e. 9 Dozen Options:
Order 1, Dozen 1
Order 1, Dozen 2
Order 1, Dozen 3
Order 2, Dozen 1
Order 2, Dozen 2
Order 2, Dozen 3
Order 3, Dozen 1
Order 3, Dozen 2
Order 3, Dozen 3
Observation C: some areas of the triangle are hit more than other areas of the triangle.
With Cycles, Order 1 is going to hit more than Order 2 or 3 - but just betting Order 1 doesn't result in any edge because risk/reward is the same ratio as betting Order 2 or Order 3 = equivalent.
Observation D: the most important! The snake cannot repeat the same outcome as the last outcome, i.e. it cannot return to the previous dot immediately - but it can return there later after several trials have taken place!
How to apply this to Roulette? In 9 Dozen Options (see above), Order 2 Dozen 1 cannot immediately follow Order 1 Dozen 1 - but it can return there later in a set of cycles.
What other observations are there and what further refinements must we make to our dozen cycles to make this applicable? Or if it's not applicable then why not?
Thanks God and Good Morning All.
Thanks falkor for this good post.
note for critics (I know who falkor is and read all his post previously, but I like his this very post.)
Love and Light,
SugTips
In the video a new point is created halfway between the old point and (A, B or C).
What the triangle look like if the new point was created 1/3 or 1/4 (instead of halfway)? Be interesting to see.
What software is he using to create this serpinksi triangle ?
I've been puzzling over this for a few days now and cannot seem to get my head around it. Here's where I'm at...
I found that with the following four outcomes, CL1 defined by Red cannot be followed by CL1 defined by Black (and vice versa):
CL1dR
CL2dR
CL1dB
CL2dB
And unlike order 1, the above 4 outcomes are 25% ratios each.
So what is the difference between playing for a repeat (or deadlock) on the above vs. traditional Quads?
QuoteI found that with the following four outcomes, CL1 defined by Red cannot be followed by CL1 defined by Black (and vice versa):
CL1dR = 1
CL2dR = 3
CL1dB = 2
CL2dB = 4
And unlike order 1, the above 4 outcomes are 25% ratios each.
This one is strange...
2
3
1
4
3
1
3
4
3
3
4
2
2
2
2
2
4
2
3
1
1
3
1
3
1
3
1
3
1
4
2
3
4
2
2
4
3
1
1
1
4
2
2
2
2
4
2
4
3
1
1
1
1
4
2
2
2
2
4
2
4
3
4
2
2
4
2
3
1
3
4
3
1
1
1
1
1
1
1
1
1
3
1
1
4
3
1
3
3
4
2
4
2
4
2
2
3
1
1
3
1
1
1
4
2
3
4
2
2
2
4
4
4
2
4
2
2
4
2
2
2
4
4
4
2
3
3
1
1
1
1
3
4
2
2
4
3
4
4
4
2
3
1
1
4
2
2
2
4
2
2
2
3
1
4
3
1
4
2
4
4
4
3
3
1
3
4
3
1
4
3
1
4
2
2
3
4
2
3
3
4
2
4
All 25% chance each! Though a CL1 is just 1 spin and CL2 requires 2 spins.
Playing for a repeat gets more stranger still:
23143
313
343
33
3422
22
22
22
242
2311
131
131
131
131
14234
422
24311
11
1422
22
22
242
24311
11
11
1422
22
22
242
2434
422
242
2313
343
311
11
11
11
11
11
11
11
131
11
1431
133
3424
424
422
2311
131
11
11
14234
422
22
244
44
424
422
242
22
22
244
44
4233
311
11
11
13422
2434
44
44
42311
1422
22
242
22
22
23143
31424
44
44
433
313
343
3143
31422
2342
233
3424
4233
311
131
11
1431
1343
311
133
344
433
311
11
1344
433
33
3422
22
22
22
22
22
22
2343
33
33
33
31423
33
33
3143
313
311
11
1422
23144
44
424
422
23142
22
22
22
22
2311
1431
131
11
131
11
11
11
14233
31422
242
22
22
2342
242
242
22
22
233
3424
44
422
22
242
242
2433
343
344
424
424
4311
11
11
11
11
11
133
311
133
343
344
44
44
4234
422
22
2342
22
233
311
1422
22
22
22
22
22
244
433
3144
44
422
22
2311
11
11
11
11
131
131
13424
4314
422
244
433
311
1431
11
11
144
44
434
44
422
244
42311
144
422
242
244
4233
311
1424
4233
344
4234
4311
11
1422
22
242
242
22
22
23143
311
1434
42311
133
311
1424
434
424
4234
424
4313
33
3144
4234
424
44
424
44
4311
11
11
11
Average
134160 40%
120492 36%
63236 19%
21150 6%
339038
1…
CL1 49838 50%
CL2 24766 25%
CL3 18382 19%
CL4 6246 6%
99232
2…
CL1 49036 50%
CL2 24476 25%
CL3 18275 19%
CL4 6146 6%
97933
3…
CL1 17558 25%
CL2 35696 50%
CL3 13266 19%
CL4 4307 6%
70827
4…
CL1 17728 25%
CL2 35554 50%
CL3 13313 19%
CL4 4450 6%
71045
You may recall that standard Quads were different:
(link:s://i.postimg.cc/rmYBS7xn/qcycles.png)
Back to main example: Order 1 can be either 67% or 51% depending on starting partition and how things develop in the (outer) cycle.
Yet everything began with equally-likely 25%...!
Here's an interesting thought...
Let's say we have all cycles starting with 1:
131
131
131
131
14234
11
1422
11
11
1422
11
11
11
11
11
11
11
131
11
1431
133
131
11
11
14234
11
11
13422
1422
131
11
1431
1343
133
11
1344
11
1422
1431
131
11
131
11
11
11
14233
11
11
11
11
11
133
133
1422
11
11
11
11
131
131
13424
1431
11
11
144
144
1424
11
1422
133
1424
11
11
11
144
1424
1431
11
131
vs. all cycles starting with 2:
23143
22
22
22
242
2311
24311
22
22
242
24311
22
22
242
2434
242
2313
2311
22
244
242
22
22
244
2434
22
242
22
22
23143
2342
233
22
22
22
22
22
22
2343
23144
23142
22
22
22
22
2311
242
22
22
2342
242
242
22
22
233
22
242
242
2433
22
2342
22
233
22
22
22
22
22
244
22
2311
244
244
242
244
22
242
242
22
22
23143
242
22
233
2343
22
242
22
22
22
22
244
I think you will find a deadlock is probably impossible! A repeat must happens extremely quickly on 1 side or the other (2).
I found that with the following four outcomes, CL1 defined by Red cannot be followed by CL1 defined by Black (and vice versa):
CL1dR
CL2dR
CL1dB
CL2dB
Gil maybe we can use that if we see imbalance here?
Here's a fractal I generated from quads based on the same rules as the triangle - but using up, down, left, right in a square formation.
0 500
0 -750
-500 -750
750 -750
-875 -750
-875 -125
-875 -438
938 -438
31 -438
485 -438
485 719
-743 719
-743 -860
-743 930
872 930
-936 930
-936 -965
-32 -965
-32 -18
-32 -491
-32 746
-32 127
-32 437
-32 -719
-32 -141
516 -141
516 571
516 -786
242 -786
-621 -786
-190 -786
595 -786
595 893
-798 893
899 893
899 54
51 54
475 54
475 473
263 473
369 473
369 264
-685 264
-158 264
-158 368
-158 -684
-158 842
-421 842
711 842
711 -921
711 961
711 20
711 -510
-856 -510
-856 -245
928 -245
-964 -245
-18 -245
-491 -245
746 -245
746 623
746 -812
746 906
746 47
746 -524
746 762
127 762
127 119
127 -560
437 -560
437 780
282 780
-641 780
-180 780
-410 780
-295 780
-353 780
-353 -890
-353 -55
-353 -473
-353 737
-353 -869
-353 935
-324 935
-324 33
-324 -517
-338 -517
-338 759
669 759
-835 759
-835 -880
-835 -60
-835 -470
-835 735
-83 735
-83 -868
-83 934
-459 934
-271 934
636 934
636 -967
182 -967
182 -17
182 509
409 509
-705 509
853 509
74 509
463 509
-732 509
-134 509
567 509
217 509
392 509
-696 509
-696 246
-152 246
-424 246
712 246
712 -623
712 -189
144 -189
-572 -189
-214 -189
-214 595
-393 595
-393 -798
697 -798
697 899
697 -950
697 975
-849 975
-849 13
-849 494
925 494
925 253
925 -627
925 -187
-963 -187
-19 -187
510 -187
245 -187
245 -407
-623 -407
812 -407
94 -407
453 -407
453 704
453 -852
453 926
-727 926
864 926
864 -963
864 982
864 -991
864 996
864 -998
68 -998
68 -1
-534 -1
-534 501
-233 501
-233 250
-233 -625
617 -625
617 813
617 -907
617 954
192 954
192 -977
192 989
192 6
(link:s://i.postimg.cc/Qxz1J4Qt/fractal.png)
(link:s://i.postimg.cc/wTW8fJM3/fractal2.png)
(link:s://i.postimg.cc/fbmPN0zc/fractal3.png)
Up next: will do the same with:
CL1dR
CL2dR
CL1dB
CL2dB
Looks a bit different now:
(link:s://i.postimg.cc/Z5dZDcQj/newfractal.png)
(link:://:.pichost.org/images/2019/07/23/source.jpg) (link:://:.pichost.org/image/w7gSA)
Stop this stupid nonsense before you kill more brain cells
Never!
Apologies, but there was a mistake in my calculations before. The correct data generates the following instead:
Quads
(link:s://i.postimg.cc/mrpP3j3Y/quads.png)
4 EC Options
(link:s://i.postimg.cc/5yS1gNch/4-ECoptions.png)
500 0
500 -500
-250 -500
-250 250
-250 -375
-625 -375
-625 -688
-625 156
-625 -422
-625 -711
-625 145
188 145
594 145
797 145
899 145
950 145
950 573
975 573
975 -214
-13 -214
-507 -214
-507 -607
-754 -607
-754 -804
-877 -804
-877 -902
-939 -902
-939 -951
-970 -951
-970 25
15 25
15 -488
15 256
508 256
754 256
754 628
etc.
Above was 2K spins; below is 10K spins for 4 EC options:
(link:s://i.postimg.cc/tTmFTymH/10k.png)
Zoomed in
(link:s://i.postimg.cc/mDrQBhjw/10kb.png)
NOTE: The 4 EC options (some outcomes cannot follow others) are more concentrated in specific areas compared to equally-likely quads.