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Date: Fri, 20 Nov 1998 08:46:30 +0100 (CET)
From: Bas de Bakker
To: Cube-Lovers@ai.mit.edu
In-Reply-To: (message from Jerry
Bryan on Thu, 19 Nov 1998 15:00:06 -0500 (Eastern Standard Time))
Subject: Re: The Cylinder
References:
>>>>> "Jerry" == Jerry Bryan writes:
[About the octagonal "cube"]
Jerry> I haven't played with it in a long time. But my best
Jerry> recollection is that it can be solved basically the same
Jerry> way as a 3x3x3 cube, except that *I think* (don't remember
Jerry> for sure) that the color scheme permits invisible swaps of
Jerry> identically colored pieces which can make the puzzle seem
Jerry> "impossible" to solve unless you realize that the
Jerry> identically colored pieces must be swapped.
Your recollection is not exact. There are no identically colored
pieces to swap, but you can swap complete columns consisting of two
"corners" (what would have been corners on the cube) and one "edge"
without noticing.
In fact, if you create an even permutation of those columns, there is
no problem. But if you create an odd permutation, it will become
impossible to solve the upper layer.
Presuming you solve cubes in layers, the easiest way out is to not
start at one of the octagonal layers (which seems the most natural
way), but to start with a "side" layer. If you do it this way, it
will always be possible to solve the last layer.
I hope I'm making myself at least somewhat clear,
Bas.