Thread: "4^4 help thread"

From: "deustfrr" <deustfrr@yahoo.ca>
Date: Sat, 17 Jul 2010 13:14:43 -0000
Subject: 4^4 help thread



Help with 4^4 by anybody, write in this thread
I have 2 center pieces switched.
http://groups.yahoo.com/group/4D_Cubing/photos/album/346940124/pic/19018063=
56/view?picmode=3D&mode=3Dtn&order=3Dordinal&start=3D1&count=3D20&dir=3Dasc
The line tells you which 2 are switched
I can't switch the centers without ruining the other centers




From: "deustfrr" <deustfrr@yahoo.ca>
Date: Sat, 17 Jul 2010 16:19:58 -0000
Subject: 4^4 help thread



I've took a closer look to Magic Tile set of puzzles and found a strange th=
ing.
Of 11 puzzles from "hyperbolic" part of set there are only 5 mathematical=
ly different ones and two of them are already listed in "spherical" section=
: all 6-colors are equivalent to Rubik's cube, all 4-colors are alternative=
implementations of pyraminx, and 3-colors are equivalent to 3-colored Rubi=
k's cube - non-oriented polyhedron with one vertex, 3 edges and 3 digonal f=
aces :) (are they the same as "digonal" puzzle? No, there is not enough 1C =
pieces in the latter). Two others - 24-color Klein's quartic and 12-colors =
{8,3} puzzle (double cube?) are really hyperbolic. This {8,3} looks very in=
teresting - and I have to understand how it works. Like we cut a hole in ce=
nter of paper cube, dupicated the rest and interconnented copies so that wh=
en you pass some of edges you go to another cube... May be not. And it look=
s like there could be 12-colored {9,3} (triple pyraminx) and 18-colored {12=
,3} - triple cube or double {6,3}*9 colors.
3 colors, 7 layers took some time to understand and solve it - most algor=
ithms from N^3 didn't work. Luckily there is only small set of colors distr=
ibution, and simplest commutators did the trick :)))
Thanks again, Roice!

Andrey





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