Message #3966

From: Luna Peña <>
Subject: Re: [MC4D] Fwd: Rubik-like puzzle
Date: Wed, 17 Jan 2018 01:02:56 +0000

I have come up with a method for both the 5,5,1,1 and the 6,6,2,2, as well
as a program that can solve any of the puzzles in Arnaud’s program
optimally. Unfortunately, it is now very late at night, and I don’t have
the time to detail it now, but I’ll be sure to share it tomorrow.

Also, you should let Arnaud know that if his ‘permute’ button just places
the beads in random locations, then it’s generating unsolvable positions. I
spent an hour trying to figure out how to do a 2-cyle on the 5,5,1,1, but
now I’m pretty sure it’s impossible, and after only using the random move
button, it doesn’t show up.


On 16 Jan 2018 17:13, "Roice Nelson [4D_Cubing]" <> wrote:

Hi solution-wizards,

A friend of mine, Arnaud Chéritat, is looking for an efficient solution
algorithm for a class of twisty puzzles like the Hungarian rings
<> puzzle. It will be used for a
live solve where people play the role of the permuted dots. I wanted to
see if any of you might be able to help with this.. Details are below.


P.S. Arnaud makes awesome software and mathematical images. Check out his
site here:

———- Forwarded message ———-
From: Arnaud Chéritat <>
Date: Tue, Jan 16, 2018 at 2:11 AM
Subject: Rubik-like puzzle
To: Roice Nelson <>

Dear Roice,

Cheers and happy new year! I am co-organizing in March an math festival
event with several stands, for one of them my idea is to embody the
following Rubick’s cube like puzzle with people following marks on the
floor :

For this I need a resolving algorithm that is not too long to implement. I
recall that you were part of a club or forum of puzzle solvers, would you
happen to know a solution, or somebody who knows one? How much time would
it take you to devise one if you wanted? I can come up with an algorithm
but it is pretty long to implement and you must keep track of many
movements on a sheet of paper (or have an excellent memory) because of

By default there is the 5,5,1,1 variant (the 4 numbers in a column of text
fields in the lower left).
I also like the 6,6,2,2, that I cannot solve quickly either.
I’d be happy to have a nice method for one of those two.

Of course you can look at many variants.
The 4,4,1,1 is easy, yet interesting.
The n,2,k,1 are easy, good for training maybe?