Message #3550

From: Roice Nelson <roice3@gmail.com>
Subject: Re: [MC4D] Re: How to make a better 3x3x3x3
Date: Sun, 30 Oct 2016 01:20:16 -0500

This was an intriguing thread to follow! After reading it, I added some
circle puzzles to MagicTile. However, they don’t match the behavior of the
physical puzzles unless you artificially limit slicemask usage to only
allow 2nd layer twists. I added a circle cube and a circle Megaminx, but
also a circle Klein quartic, which I thought justified this post. When
limited to 2nd layer twists, I think the circle KQ can represent a "super
multi Klein quartic", and it’s cool to think about a hidden 24-color
genus-3 "cubie" :)

Roice

On Wed, Jul 27, 2016 at 8:54 PM, Dave Reens dave.reens@gmail.com
[4D_Cubing] <4D_Cubing@yahoogroups.com> wrote:

>
>
> Hello Carl,
>
> Thanks a lot for all the great information and links. I’m definitely
> adding the 3x3x3 circle to my wish list, and maybe someday when I’m rich
> I’ll have to buy your 5x5x5 with the double circle :-), what an awesome
> creation.
>
> Dave
>
> On Jul 24, 2016, at 4:48 PM, carl.n.hoff@gmail.com [4D_Cubing] <
> 4D_Cubing@yahoogroups.com> wrote:
>
>
>
> Hello David,
>
> The use of the word Super in this context has been around since the
> 1980’s I believe. The term Multi dates back to Sept. 20, 2009. Here is
> the first post to use the word in this context.
>
> http://www.twistypuzzles.com/forum/viewtopic.php?p=179035#p179035
>
> Before then the concept was know but it was also called Super so you had
> terminology like the Super-Super Cubes being used.
>
> Yes, you can buy the Circle 3x3x3 here:
> http://www.hknowstore.com/locale/en-US/item.aspx?corpname=
> nowstore&itemid=1e61975c-8343-4bce-81f9-54be14cf0cc2
>
> The Circle 4x4x4 is here: (not my auction)
> http://www.ebay.com/itm/252321959913
>
> The Double Circle Real 5x5x5 is here: (this is my Shapeways shop)
> http://shpws.me/CLly
>
>
>
> All of these are Super-Multi puzzles.
>
> Yes, there are other ways of breaking the degeneracies. You could put
> some 2D stickers on the faces of the 3D stickers for example. But I wanted
> to expose the core so the same approach could be used making a Super Multi
> 4x4x4x4 etc. This is the most general approach that I know.
>
> Also, just a point of clarification, you say the center hypercubie can’t
> be scrambled anyway on the super multi 3x3x3x3, but this doesn’t mean the
> super multi 3x3x3x3 is the same to solve as the normal 3x3x3x3- the super
> multi version does break some degeneracies and increase the number of
> unsolved states of the puzzle, correct?
>
> It is the core hypercubie that can’t be scrambled. All 8 cell center
> hypercubies can be scrambled, or at least their orientations can be as
> their positions never move. As to the second question, no that isn’t what
> it means. It does mean however that the Super Multi 3x3x3x3 is the same
> solve as the Super 3x3x3x3. The Super 3x3x3x3 does have more states then
> the Normal 3x3x3x3. All Multi does for this puzzle is add the core. And
> you know the orientation of the core even if you cannot see it as all the
> cell centers are attached to it. For example a 3x3x3 has a hidden 27 cubie
> we call the core on the inside. It is normally hidden out of view and
> unstickered but still you always know the red sticker on the core would be
> directly below the red face center.
>
>
> Also note I’m just talking about the 3x3x3x3 here. The Super Multi
> 4x4x4x4 has more states then the Super 4x4x4x4 as it contains the 2x2x2x2
> on the inside.
>
>
> And I’ve been a member of MC4D since March 12, 2011. At least I have been
> getting the digest since then. I rarely have the time to read the digest
> and honestly I can not recall if I’ve ever posted before or not. So I
> certainly haven’t been a very active member. The oldest post of mine I can
> find on TwistyPuzzles.com <http://twistypuzzles.com> is dated December 2,
> 2004 and I was active in the forum in the form it had before it moved to
> the current site. I can remember making posts about Twisty Puzzles in
> various locations going back to the early to mid 1990’s I believe. I
> remember requesting and being added to Jerry Slocum’s Directory of Puzzle
> Collectors sometime in the 90’s as well.
>
>
> I’m sad to say I’m not familiar with the origin of MC4D so I’m not certain
> how long its been around.
>
>
> Carl
>
>
>
>
>
>