Thread: "=?iso-8859-1?q?_Variations_of_Rubik=92s_Cube_puzzle?="

From: "Andrey" <andreyastrelin@yahoo.com>
Date: Thu, 03 Feb 2011 10:47:31 -0000
Subject: =?iso-8859-1?q?Re:_Variations_of_Rubik=92s_Cube_puzzle?=



Hi Alex,
It's very interesting set of puzzles that you presented. I've tried "Gran=
dmaster level". Not very difficult - it took only 1 hour to solve, but this=
puzzle is very unusual: if you take, for example, 2C piece and make "local=
" twists, you can't flip it. You have to move it around the torus to change=
orientation! So it behaves like a part of non-orientable puzzle, while the=
torus itself is orientable surface! Very interesting effect. The same is t=
rue for 4C pieces: local twists can make 180-degree rotation of them, and f=
or 90-degree you have to move it around the torus too.
Unfortunately, I haven't algorithm for it: solution was almost intuitive.=
I first solved two outer rings of the square so only central 5x5 face was =
unsolved, then oriented all 2C and 4C pieces (by moving them to the torus b=
oundary and retreiving from the back side), then positioned all 2C (by comm=
utator like (F- I- H- E- H+ E+ I+ F+), where A..I are centers of the faces =
in order ABC//DEF//GHI). Unfortunately these commutators flip 4C pieces, so=
you have perform them twice. Last stage was positioning of 4C - and operat=
ion was like (I2 E+ I2 E+ I2 E2 I2) - it makes 3-cycle of 4Cs of E face.

Andrey


--- In 4D_Cubing@yahoogroups.com, "puzzle314" wrote:
>
> I am a new member. My name is Alex. I am a developer of the
> www.puzzlemystery.com . I am working on
> variations of Rubik's Cube puzzle.
>=20
> Recently I've added several 2D variations of the Rubik's Cube
> puzzle . The
> beginning level is pretty simple, but intermediate, advanced, master and
> grandmaster levels are very complicated. It appears easier to create
> than solve these puzzles. I would really appreciate if somebody could
> find solutions and send me the algorithms for these three levels.
>=20
> My next goal is to create 3D and then 4D Rubik's Cube puzzles. I am
> only a beginner in 4D puzzles. There is one question I am trying to
> clear now: in order to twist a hyperface in MC4D, I should click on
> hypersticker. That allows me to make only one type of a twist. It is
> fine for 3D Rubik's Cube where hyperface is a square and allows only
> one type of a twist. For 4D Rubik's Cube the hyperface is a cube. It
> should allow 3 basic twists. How I can do it? Am I missing something?
>=20
> Alex
>





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