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 Post subject: Topsy Turvy by Oskar van DeventerPosted: Wed Sep 10, 2008 10:20 am

Joined: Wed Aug 17, 2005 8:26 pm
Location: Saratoga Springs, NY
I am always interested in the new puzzles Oskar van Deventer designs, and I thought I would re-post this here for whom ever is interested. Also, check out the Pachinko on Oskar's YouTube page. I could spend hours playing with a puzzle like that...

This was originally posted on MathPuzzle.com on 5 SEP 2008:

Topsy Turvy puzzle
M. Oskar van Deventer: Here is a YouTube video of the Topsy Turvy puzzle, which I just have successfully prototyped with the help of Peter Knoppers and George Miller. This puzzle is an implementation of the M12 puzzle, published in the July 2008 issue of Scientific American by Prof. Igor Kriz. The M12 group is a so-called "simple sporadic group" of permutations of twelve tokens. Prof. Kriz used the permutations "invert" and "merge" to construct the M12 group. My tokens are twelve disks, numbered 1-12. By cranking the handle either left or right, the tokens are entered into the mechanism that rearranges the tokens. Although the permutations "left" and "right" are slightly different from those used by Professor Kriz, they construct the same M12 permutation group. Or phrased differently, they make same fiendishly difficult puzzle.

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 Post subject: Re: Topsy Turvy by Oskar van DeventerPosted: Wed Sep 10, 2008 10:40 am

Joined: Fri Nov 04, 2005 12:31 am
Location: Greece, Australia, Thailand, India, Singapore.
The usage of simple sporadic groups adds a new dimension to any puzzle.
Oskar's new creation may be somehow related to the Think-a-dot puzzle by ESR,
but they can not be compared in terms of difficulty. Oskar's puzzle also uses
some extremely interesting "avalanche" technique, making it even more desirable.

As for Pachinko, the puzzle was presented at the IPP, but (as I had stated)
there were so many things I had to do, I regret I didn't try it at all.
Oh well, I am sure I will see them again one day!

Pantazis

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 Post subject: Re: Topsy Turvy by Oskar van DeventerPosted: Wed Sep 10, 2008 11:40 am

Joined: Mon Feb 04, 2008 8:57 pm

how does it work? I can understand falling to the left or right, but how can they fall with such force and pile on top of one another. yet when the last token gently taps the top they all tumble down?

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 Post subject: Re: Topsy Turvy by Oskar van DeventerPosted: Wed Sep 10, 2008 11:41 am

Joined: Sun Nov 25, 2007 7:29 am
Location: UK
I find non-reversible moves make for very tricky puzzles. In some ways it reminiscent of his windmill puzzle.

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Last edited by MarkSS on Wed Sep 10, 2008 1:19 pm, edited 1 time in total.

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 Post subject: Re: Topsy Turvy by Oskar van DeventerPosted: Wed Sep 10, 2008 1:00 pm

Joined: Thu Jan 06, 2005 8:53 pm
Location: Los Angeles
Drewseph wrote:

how does it work? I can understand falling to the left or right, but how can they fall with such force and pile on top of one another. yet when the last token gently taps the top they all tumble down?

Check out the Pachinko video. I'm almost positive it uses the same principle.

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 Post subject: Re: Topsy Turvy by Oskar van DeventerPosted: Wed Sep 10, 2008 10:36 pm

Joined: Sat Aug 12, 2006 6:40 pm
Location: California
This looks AMAZING!
It's a really cool, and very pretty implementation. I see Oskar's name all over, and always on something really good.
In fact, it's so cool, I wanna solve M12 right now. (If I do, do I get a free Topsy-Turvy? )

(Hmm, would ksolve be able to find reasonable algs for M24?)

MarkSS wrote:
I find non-reversible moves make for very tricky puzzles. In some ways it reminiscent of his windmill puzzle.

The generators have low orders.
(Only 1 or 10 moves to undo an accident, assuming a sufficient isomorphism from the described puzzle to Deventer's implementation.)

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