🚀 go-pugleaf

Androcles wrote:
> 
> Hana, has it occured to you that Rubik's cube and the rotations form a
> group? (I mean in the mathematical sense.)
> Androcles
> 
Jesus Christ, Androcles!
I always knew that all elements (or states) ofd a Rubik's cube, or any
other cubes, for that matter, form a group. This group has as identity a
clean (solved) cube, its inverse is any solution algorithm, and its
operator is any cube twiddle. It has 18 generators: U, U2, U', D, D2,
D', L, L2, L', R, R2, R', F, F2, F' , B, B2 and B'. This is for the
group of the 3x3x3 cube. The total number of elements is approximately
4.3x10^(19) or 43  quintillion.
Hana a kostky

> Hana Bizek <hbizek@ameritech.net> wrote in message
> news:387DD6C1.24CC@ameritech.net...
> > Hello, all,
> > some of you  will know me from previous postings. My  quest for
> > 3-dimensional Rubik's cobe designers is still a dismal zero. There is a
> > real danger that I am the first to have come up with this. Please, if
> > you know of anyone who does  something similar to what I have done, let
> > me know. The page to look at is http://cube.misto.cz. Please go down to
> > the Appendices and click on "Thre-dimensional designs of Dr. Hana M.
> > Bizek." Thank you.
> >
> > Instead of providing me with a name of a fellow designer, the above page
> > ended up as a link to rather prestigious sites. Some are:
> > * Mensa CR at http://www.mensa.cz/cz/odkazy
> > * Sir Roger Penrose Society at http://welcome.to/SRPS
> > * The Geometry Junkyard (I forgot the URL, will look it up upon request)
> > * MSO Worldwide, Ltd at http://www.msoworld.com
> >
> > The last site, MSO Worldwide, has launched a new links directory. Our
> > site belongs to the Mental Skills - Mechanical Puzzles category. Please
> > have a look at it, and, if you think it's good, vote for our site. And
> > look around. It's a fascinating site for any and all puzzle lovers, and
> > math lovers.
> >
> > Cheers,
> >
> > Hana M. Bizek
> > hbizek@ameritech.net