Message #2613

From: Eduard Baumann <>
Subject: Re: [MC4D] MagicTile Solving
Date: Wed, 23 Jan 2013 22:18:09 +0100

Thanks for responding.
The problem is still unsolved for me.
I had already carefully analysed the composition of a single twist.
Everybody can himself verify his opinions with an unscrambled version of this puzzle.
Kind regards

—– Original Message —–
From: Roice Nelson
Sent: Wednesday, January 23, 2013 6:59 PM
Subject: Re: [MC4D] MagicTile Solving

On the parity issue, I don’t know the solution, but I have a few thoughts:
a.. A single twist is odd for edges (3 2-cycles). Doesn’t this mean you could fix your issue with by making a single twist, then solving with an even number of twists from there?
b.. I wonder if studying this past thread, Parity on MC m^n, would help. Levi talks about the "double odd" situation of the 3^3, which feels like it might be relevant.
I look forward to hearing the actual solution.


P.S. I agree with Melinda about what counts as a solve. Proving you can solve a puzzle is definitely worthwhile too, even if you don’t carry out all the motions. This was enough for me on the 120-cell, for instance :) But it seems like the wiki list should be reserved for actual solves. And in any case, it sounds like this puzzle is still unsolved from either perspective.

On Tue, Jan 22, 2013 at 6:30 PM, Eduard Baumann <> wrote:

Sending "around the horn" doesn’t help because the torus is to simple.
I tried these "sendings".
The two radii are the same (7).

  ----- Original Message ----- <br>
  From&#58; Melinda Green <br>
  To&#58; 4D&#95; <br>
  Sent&#58; Wednesday, January 23, 2013 12&#58;41 AM<br>
  Subject&#58; Re&#58; &#91;MC4D&#93; MagicTile Solving

Oh my. I don’t feel that a puzzle has been solved unless it has been completely finished from an appropriately large scramble. Other opinions, anyone?

  Like Roice, I wonder whether one or more pieces need to be sent &quot;around the horn&quot;. In this case there are two ways to do that involving the small and large radius of the torus.