SERVING THE QUANTITATIVE FINANCE COMMUNITY

Collector
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Joined: August 21st, 2001, 12:37 pm

### Patterns in the dark?

31,12,13,24,30,1,35,34,3,32,6,7,19,18,25,36,5,33,4,2,26,17,23,8,28,27,11,14,20,29,10,9,21,15,16,22

what two objects would you link this number series too?

Generator Deterministic or Random ? (is one of the objects a random number generator (black "box") ?)

katastrofa
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Joined: August 16th, 2007, 5:36 am
Location: Alpha Centauri

### Re: Patterns in the dark?

The numbers are as random as a random permutation (of N6, i.e. numbers for 1 to 36), once beautifully called a variation with no repeats.

Collector
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Joined: August 21st, 2001, 12:37 pm

### Re: Patterns in the dark?

close but not close enough!  tips 2 dimensional (one of the objects) ! and light (second object) ! Try harder!

one more tips: the secrets off: Symmetry! Numbers coming out of the perfect symmetry:
Last edited by Collector on October 29th, 2018, 7:42 pm, edited 1 time in total.

katastrofa
Posts: 9322
Joined: August 16th, 2007, 5:36 am
Location: Alpha Centauri

### Re: Patterns in the dark?

No worries, I don't take offence from fellow vegans, even if they step on my axons.

Hmm, my brain cells have gotten bigger than usual (swollen): singularity, light... The beginning of spacetime? But why 36? Some symmetry group?

Collector
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Joined: August 21st, 2001, 12:37 pm

### Re: Patterns in the dark?

symmetry grope it is! closer but not close enough! Numbers coming out of the magic symmetry grope:

katastrofa
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Joined: August 16th, 2007, 5:36 am
Location: Alpha Centauri

### Re: Patterns in the dark?

Oh, I get it. A permutation "grope"? (A.k.a. G36.) You've made a funny typo BTW, Valentiner groups are a nice concept if you're at symmetries.

Collector
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Posts: 4647
Joined: August 21st, 2001, 12:37 pm

### Re: Patterns in the dark?

you are turning a corner, but not there yet (this symmetry group much older than Valentiner group 1889). Think harder, bend your small brain cells (not offending your brain, as brain cells are indeed small)

Collector
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### Re: Patterns in the dark?

bearish
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Joined: February 3rd, 2011, 2:19 pm

### Re: Patterns in the dark?

My understanding of the math here is at a high school level, but I did notice one regularity that may be relevant. If we denote a particular permutation of the first 36 natural numbers by p, we can form a new permutation q by setting q(n)=p(p(n)), for n=1,2,3,...,36. If we repeat this long enough, we will run into cycles, since there is only a finite (albeit large) number of such permutations, and each step is deterministic. Starting with your particular permutation, the cycle length is 22, formed by two sets of subcycles of length 2 and 11, affecting 13 and 23 of the elements, respectively.

Collector
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Posts: 4647
Joined: August 21st, 2001, 12:37 pm

### Re: Patterns in the dark?

Go from 3d to 2d, it is a magic puzzle, ancient and full of symmetry! You guys are too modern, too young and too sophisticated.

katastrofa
Posts: 9322
Joined: August 16th, 2007, 5:36 am
Location: Alpha Centauri

### Re: Patterns in the dark?

Modern world makes me depressed, people my age are too infantile for me and my sophistication amounts to spending too much on opera tickets and cat-themed antique art.

Rubik's Snake puzzle?

Collector
Topic Author
Posts: 4647
Joined: August 21st, 2001, 12:37 pm

### Re: Patterns in the dark?

black (white) box 2d

katastrofa
Posts: 9322
Joined: August 16th, 2007, 5:36 am
Location: Alpha Centauri

### Re: Patterns in the dark?

I'm still lost in the dark and disappointed with myself. You helped me to come up with an Xmas present idea for my niece, though: Rubik's cube and puzzles!

Collector
Topic Author
Posts: 4647
Joined: August 21st, 2001, 12:37 pm

### Re: Patterns in the dark?

Super-symmetry!

katastrofa
Posts: 9322
Joined: August 16th, 2007, 5:36 am
Location: Alpha Centauri

### Re: Patterns in the dark?

I'm afraid the word has been already taken by those quacks from CERN