From:

~~~ ~~~ Subject:

Here are the 16 antipodal processes for <U,R,U2,R2>. Also, as in the

case of <U,R>, I am including replacement position diagrams that

include a correction for the Back face so that both the corners and

edges are up-side-down. Q+H turners will like these processes because

of the way turns of the U face alternate with turns of the R face.

I have performed a few of the processes on a real cube (as opposed to

on a computer screen), and I find the alternating faces to be

quite pleasant somehow or other.

1 R' U R2 U R U2 R U R U2 R' U2 R U2 R' U2 R2 U R2 U 2 U' R U' R2 U' R2 U' R U' R2 U2 R U R U' R U R U2 R2 3 U R U2 R U' R U2 R2 U2 R2 U R U R2 U2 R U' R U R2 4 R' U2 R' U R U' R2 U' R2 U' R' U R' U' R' U' R U' R' U2 5 R' U2 R2 U' R U2 R' U' R U R' U2 R' U2 R' U' R' U2 R U 6 R U R U' R U R2 U R2 U R' U' R U2 R U2 R U R' U 7 R2 U' R U2 R U2 R U' R' U' R U2 R U R2 U R' U R U2 8 U' R' U R' U R' U R2 U' R' U' R' U R' U R' U R2 U' R' 9 R U2 R' U R' U R U' R U R' U2 R' U2 R U' R U' R' U2 10 U' R' U2 R2 U2 R' U R' U2 R' U' R U R' U R U' R' U R2 11 U' R' U' R' U2 R2 U2 R2 U R2 U R2 U' R2 U2 R' U' R U2 R' 12 R2 U' R2 U2 R' U' R2 U' R U R2 U2 R2 U R U2 R U' R' U 13 R U2 R' U' R U' R' U' R2 U' R U2 R U R2 U R' U2 R U 14 U2 R' U R2 U' R' U' R2 U' R U R' U2 R' U2 R2 U R' U2 R' 15 U' R U2 R' U2 R U' R U' R U2 R' U' R U2 R2 U R U R2 16 U' R2 U2 R' U R' U2 R U' R2 U2 R' U2 R U R2 U' R2 U2 R2

BBR BBB BBL BBB BBB BBB FBU LBD RBU RUR BUB BUR UUU UUU UUU RUU RUU DUFDLU FFL FRB ULU FFL FRR DLR FFR URB LLL FFF RRR LLL FFF RRR LLL FFF RRR LLL FFU LRD LLL FFD FRU LLL FFL URUDDB DDR DDF DDD DDD DDD DDB DDR DDB-------------------------------------------------------------BBD BBU BBR BBB BBB BBB LBR LBR RBB UUF UUB UUL UUU UUU UUU BUR BUR LURFLL UFU FRD FLL UFD BRU BLF UFF DRU LLL FFF RRR LLL FFF RRR LLL FFF RRR LLL FFR URB LLL FFR DRF LLL FFU RRDDDB DDF DDF DDD DDD DDD DDR DDR DDB-----------------------------------------------------------BBL BBR BBU BBB BBB BBB RBR LBU FBB BUU BUR RUR UUU UUU UUU LUB LUF FURDLF UFU RRF ULF UFR URB DLU LFU FRD LLL FFF RRR LLL FFF RRR LLL FFF RRR LLL FFD FRU LLL FFD FRD LLL FFL BRRDDR DDR DDU DDD DDD DDD DDB DDB DDB-----------------------------------------------------------BBF BBU BBB BBF BBD BBU FBR LFR BRR LUU UUD UFB UUU UUB DUU UUR LUF UBFULB LFB URF FBU BLD RRB LRL FRR ULU LLL FFB RRR LLL FFU RRR LLL FFU BRF LLL FFR BRD LLL FFR FRR LLL FFF RRRDDD DDU DDD DDD DDF DDU DDR DDB DDD--------------------------------------------------------------BBL BBB BBB BBU BBU BBU DRF FRF FFD FFR RDR RUB DUU FUU UUF DBR UBB FDURRB RRB URU DRL FRL URU DLU LRF RRR LLL FFU BRF LLL FFU FRB LLL FFB RRR LLL FFU LLF LLL FFR ULR LLL FFU LBUDDB DDB DDB DDU DDU DDU DDU DDD DDR----------------------------------------------------------->BBF

>BBU

>UFB

>LUU

>UUF

>BDRBLR DRF DRR

LLL FFB RRR

LLL FFU RBU

DDF

DDU

DDL

= = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = Robert G. Bryan (Jerry Bryan) (304) 293-5192 Associate Director, WVNET (304) 293-5540 fax 837 Chestnut Ridge Road BRYAN@WVNVM Morgantown, WV 26505 BRYAN@WVNVM.WVNET.EDU