Message #1415

From: Melinda Green <>
Subject: Re: [MC4D] Re: The 3 slice pentachoron
Date: Tue, 15 Feb 2011 13:57:13 -0800


If you do decide to create that guide, please consider Roice’s
suggestion of adding a sequence library to the wiki page for the
simplex. Files uploaded to the Yahoo group site are fine for data that
you want to reference from within messages but are otherwise not very

Log files and especially macro definition files are certainly useful,
though I do share your feeling that it is more satisfying when you
figure them out on your own. I still feel that solutions performed using
any of these aids still count and are worthy of recording. My personal
preference is to allow myself use of guides such as Roice’s wonderful
tutorial, but I’d feel a little funny simply picking up and using
someone else’s macro file. Somehow creating my macros from someone
else’s description feels better to me, but again that’s just my

To emphasize that, it may be fun to hold a speedsolving contest in which
macros are allowed but use of predefined macros is not. Your ability to
quickly create a macro suggests to me that you have mastered its
essence. I just can’t think of a way to run such a contest remotely and
reduce the chances that someone will cheat on that point.


On 2/15/2011 10:24 AM, Matthew wrote:
> With a little thought, the {3,3,3}3 puzzle (this can serve to check I’m thinking of the correct puzzle) is fairly easy to solve. The octahedra located around a vertex are one piece and can easily be orientated correctly, and the tetrahedra at each vertex are equivalent to the trivial tips on a pyraminx and thus are easy to solve in a similar manner, although you know all this already. This leaves the 10 edges which can be 3-cycled using basically the same 4-move sequence which applies on a normal pyraminx. This allows the sequence which flips 2 edges on a pyraminx to also apply. A slight change in 4D is similar to one found on the 3x3x3x3: you can have a single edge with incorrect orientation. Think about the previous sequence to flip 2 edges in place (switching 2 stickers on each, to clarify). Perform this, then perform a single twist about an edge to change the stickers being swapped on one of those edges. Then repeat (or undo) the flipping sequence and undo the edge
> twist. I will upload a log file demonstrating this after posting. Any more questions, just ask (I sometimes don’t explain things well).
> Matt
> PS. Funny coincidence, my Meffert’s Professor Pyraminx arrived today, so I might do the {3,3,3}5 for fun sometime soon. When/if I do, I can write a short guide if there is enough interest, although I feel that most of the fun in this group is covering new ground and solving puzzles with no tutorial to follow.
> — In, "Eduard"<baumann@…> wrote:
>> I asked in this forum for instructions for the pentachoron (3 slices).
>> Since I got no reaction I think that these instructions do not exist. At
>> least not for a layered solution (as Roice’s for the magic cube). This
>> is not astonishing because the pentachoron beeing smaller (only 5 cells
>> compared with the 8 cells of the magic cube) seems to be more ensnared.
>> Reading (watching, playing) the log files from R.Durka I can’t learn
>> anything. Does he use computer aid?
>> We can distinguish the following technics (1) fully by hand, (2) by hand
>> and macros, (3) with heavy computer aid. I’m doing (2).
>> Without any macros and commutators you can do the 5 faces with 4
>> differently colored octahedra. Then the 5 fourcolored corners can be
>> done with slice 3 twists only.
>> After that you have the hard core of the job to be done: the 10
>> threecolored edges. For the moment I have established a 3-cycles across
>> an edge, a 3-cycle in a face and a 3-cycle around a vertex. I have also
>> a concept for a sequence which mirrors two edges in their place. I need
>> also a sequence to turn two edges in their place. All these sequences
>> work with slice 2 twists of course.
> ————————————
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