Message #2552

From: Andrey <andreyastrelin@yahoo.com>
Subject: Re: RefleCube: a reflection on the Rubik’s Cube
Date: Mon, 17 Dec 2012 19:26:07 -0000

Corners of mirror x behave like stickers of FTO :) Most complicated operation was [[2,2],1] may be with 1 or 2 setup reflections - to reflect two corners of mirror x or mixed puzzle. I know that I could reduce it to 8 moves (like 3-cycle of corners in 3^3), but what I’ve used is more easy to re-invent when I see what do I want to do.

— In 4D_Cubing@yahoogroups.com, "schuma" <mananself@…> wrote:
>
> Thanks! By the way, how special do you think is special? The corners of mirror x behave more like MC4D.
>
> — In 4D_Cubing@yahoogroups.com, "Andrey" <andreyastrelin@> wrote:
> >
> > Nice puzzle!
> > Mirror+ and mirrorX solved, no special operations required :) Now trying mixed puzzle…
> >
> > Andrey
> >
> > — In 4D_Cubing@yahoogroups.com, "schuma" <mananself@> wrote:
> > >
> > > Hi guys,
> > >
> > > Recently I made a puzzle simulator called RefleCube:
> > >
> > > http://nanma80.github.com/
> > >
> > > The idea is, instead of twisting a layer by 90 degrees like on the Rubik’s Cube, we can mirror a layer. For example, the top layer (U) can be mirrored with respect to the plane bisecting the cube into left and right halves. The result of the reflection is swapping UFR with UFL, UBR with UBL, UR with UL.
> > >
> > > We can also think of reflecting a layer with respect to a diagonal plane so that UFR<->UBL, UF<->UL, UR<->UB.
> > >
> > > I call the first transform "mirror +", and the second transform "mirror X".
> > >
> > > You can choose to play a puzzle with only one type of mirroring moves, or both of them (which implies the Rubik’s Cube’s twisting moves).
> > >
> > > I also included the common Rubik’s cube and a half-turn cube (only allows 180 degree turns) because they are related.
> > >
> > > This puzzle is inspired by Magic Cube 2D (http://www.superliminal.com/cube/mc2d.html) and the discussion about it. I also emulated this puzzle using MC4D and MPUlt before implementing it. You know, we can use 4D rotation to emulate 3D reflection.
> > >
> > > I’m not going to tell you what can happen or cannot happen on RefleCube. Find out by yourself!
> > >
> > > Nan
> > >
> >
>