~~~ From:

~~~ Subject:

>>>>> "hoey" == hoey <hoey@AIC.NRL.Navy.Mil> writes:

hoey> When we take account of the internal cubies I call it the

hoey> "Theoretical Invisible cube", described in my Invisible

hoey> Revenge article 9 August 1982. A solution method is given

hoey> in

hoey> Eidswick, J. A., "Cubelike Puzzles -- What Are They

hoey> and How Do You Solve Them?", 'American Mathematical

hoey> Monthly', Vol. 93, #3, March 1986, pp. 157-176.

Thanks for the references. I haven't seen Eidswick's paper yet,

but will check it out.

hoey> As for counting the positions, I haven't got around to

hoey> checking the numbers in "Groups of the larger cubes", 24 Jun

hoey> 1987. You might want to see how they compare to yours.

I just did, and for the specific case that I describe (which is "s:

Supergroup, i: theoretical invisible group") the formulas are exactly

the same. I didn't consider nearly the range of alternatives discussed

in that article, but its nevertheless nice to see a confirmation of

the results.

Regards,

Dr. Jim Mahoney mahoney@marlboro.edu Physics & Astronomy Marlboro College, Marlboro, VT 05344