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Patterns in the dark?

October 27th, 2018, 12:12 pm

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") ?)
 
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katastrofa
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Re: Patterns in the dark?

October 29th, 2018, 1:09 pm

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.
 
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Re: Patterns in the dark?

October 29th, 2018, 1:32 pm

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:
Screen Shot 2018-10-29 at 4.56.07 PM.png
Last edited by Collector on October 29th, 2018, 7:42 pm, edited 1 time in total.
 
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katastrofa
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Re: Patterns in the dark?

October 29th, 2018, 5:02 pm

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?
 
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Re: Patterns in the dark?

October 29th, 2018, 5:20 pm

symmetry grope it is! closer but not close enough! Numbers coming out of the magic symmetry grope:
Screen Shot 2018-10-29 at 6.25.10 PM.png
 
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katastrofa
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Re: Patterns in the dark?

October 29th, 2018, 5:42 pm

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.
 
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Re: Patterns in the dark?

October 29th, 2018, 6:12 pm

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)
Screen Shot 2018-10-29 at 6.35.23 PM.png
 
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Re: Patterns in the dark?

October 29th, 2018, 6:46 pm

Screen Shot 2018-10-29 at 7.41.55 PM.png
 
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Re: Patterns in the dark?

October 29th, 2018, 7:24 pm

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.
 
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Re: Patterns in the dark?

October 29th, 2018, 7:38 pm

Screen Shot 2018-10-29 at 7.43.08 PM.png
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.
 
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katastrofa
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Re: Patterns in the dark?

October 29th, 2018, 10:41 pm

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?
 
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Re: Patterns in the dark?

October 29th, 2018, 11:53 pm

black (white) box 2d
 
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Re: Patterns in the dark?

October 30th, 2018, 2:43 pm

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! :-)
 
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Re: Patterns in the dark?

October 30th, 2018, 4:41 pm

Super-symmetry!
Screen Shot 2018-10-30 at 5.39.53 PM.png
 
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katastrofa
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Re: Patterns in the dark?

October 30th, 2018, 5:03 pm

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