SOMA Crystal
SOMA News 8 october 2015
E-Mail.


The Normalization of SOMA solutions.


Merv Eberhardt of Huntsville, Alabama, USA. contacted me in the summer 2015
On June 22, 2015, he questioned whether there was any investigation into the "standard/normalized" presentation of the 240 SOMA solutions.
I responded that there was no known investigation and that Merv's efforts in doing such a presentation would be of interest to the SOMA community.
Then July 4, Merv provided the list of normalized SOMA solutions.
And July 6, Merv provided a corrected list in solution #77.

Now October 7 2015 I received a complete Newsletter text.
Thank you so much, Merv
The text is presented in the following, (slightly adapted to the Newsletter format).


The following is a description on the “normalization” of the SOMA solutions
presented by Merv Eberhardt of Huntsville, Alabama, USA. Questions can be sendt to: MervEberhardt@knology.net.

Having visited many of the information pages that discuss the SOMA cube puzzle, it is clear that the “T” piece (also Green piece or #3 piece) must occupy two vertices. It is further stated that the “normalized position” be such that it lies on the bottom with its long edge along the front and the "tongue" of the "T" in the bottom center cube. It is also stated that in each of the 240 solutions to the cube puzzle the "T" piece can be rotated into that position.

My curiosity led me to examine the 240 solutions to find the locations of the key piece and to identify the rotations to move it into the desired position. The list that I used was that published in the SOMA News, 1 Feb 1999
http://www.fam-bundgaard.dk/SOMA/NEWS/N990201.HTM

I focused on its orientation within the faces (i.e., Top, Bottom, Left, Right, Front, and Back). Within each face there are four edge orientations.
The face-orientation summary is as follows:
           -----    -----    -----    -----   
          |x x x|  |x    |  |     |  |    x|
          |  x  |  |x x  |  |  x  |  |  x x|
          |     |  |x    |  |x x x|  |    x|
           -----    -----    -----    -----   
Top          1      + 0       +19      + 5     =  25
Bottom       7      + 3       +11      + 2     =  23
Front        6      + 3       + 6      +22     =  37
Back         0      +40       +16      + 2     =  58
Left        12      +33       + 3      +25     =  73
Right        0      + 3       + 7      +14     =  24
                                                 240
As the basis for the further discussion below, the following frame of reference is provided.
My generic reference is based on the three-slice model:
   -----      -----      ----- 
T |A B C|  M |J K L|  B |S T U|
O |D E F|  I |M N O|  O |V W X|
P |G H I|  D |P Q R|  T |Y Z *|
   -----      -----      ----- 
The Top and Bottom faces correspond to the TOP and BOT slices. The other six faces are as follows:
       -----         -----        -----         -----
Front |G H I| Right |I F C| Back |C B A| Left  |A D G|  
Face  |P Q R| Face  |R O L| Face |L K J| Face  |J M P|  
      |Y Z *|       |* X U|      |U T S|       |S V Y|  
       -----         -----        -----         -----   
An illustration of the four orientations for the Left Face is as follows:
 -----    -----    -----    -----   
|A D G|  |A    |  |     |  |    G|
|  M  |  |J M  |  |  M  |  |  M P|
|     |  |S    |  |S V Y|  |    Y|
 -----    -----    -----    -----
The translations from the positions in the given 240 solutions to the normalized position of the G/T/3 piece are sequences of Yaw, Pitch, and Roll rotations.
The Yaw axis goes through the E-N-W spaces. The Pitch axis goes through the O-N-M spaces. The Roll axis goes through the Q-N-K spaces. A positive rotation follows a right-hand rule where the fingers show the direction of rotation when the thumb points along the positive axis.

The basic YAW +/-, PITCH +/-, ROLL +/- rotations are:

And finally, here is the normalized list of the 240 SOMA solutions:
On 20170511 Merv Eberhardt made corrections to 7 solutions. The corrections are marked in blue on solutions 004, 005, 006, 010, 091, 138, 198.
---------------------------------------------------------------- 001..015
LOY  YOW  YOR  WOR  ROW  YOW  YOW  OBB  OBB  BBO  YOO  WOO  ROO  OOY  OOY
BOO  YWW  YLR  WWR  RRW  YWW  YWW  OOB  OOB  BLY  OOB  OOB  OOB  YYY  YYY
BBO  RLL  LLW  YYY  YYY  YYR  YLL  YOL  YOW  LLW  RBB  RBB  WBB  RRW  RRL
                                                                         
LLY  OOB  OOB  OOB  OOB  OOB  OOB  YRB  YRB  BOO  YYY  WLL  RLL  BOO  BOO
WLR  YRL  YRR  LRR  LRW  LRR  RRL  YLW  YLL  RRY  LRW  WRL  RRL  RLL  RLW
BRR  RRL  LWW  LLY  LLY  LLR  YRL  YLL  YWW  LWW  RRB  RRB  WWB  RWW  RLL
                                                                         
WYY  OBB  OBB  OBB  OBB  OBB  OBB  RRW  RRL  ROY  LLW  YYY  YYY  BBL  BBW
WGR  YGB  YGB  LGB  LGB  LGB  RGB  RGW  RGL  RGY  LGW  YGL  YGL  BGL  BGW
GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG
------------------------------------------- ---- ---- ---------- 016..030
OOW  OOL  OOY  OOY  OOY  BBR  BBW  BBR  BBW  BBY  YBB  YBB  OYR  OYR  OLY
RWW  RLL  RRY  RWY  WRY  BOO  BOO  BOO  BOO  BOO  YRB  YLB  BRR  BRR  BLR
YYY  YYY  WRY  WWY  WRY  OOY  OOY  OOW  OOR  OOR  YRR  YLL  BBL  BBW  BBR
                                                                         
BOO  BOO  BOO  BOO  BOO  BRR  BLW  BRR  BWW  BWY  OOB  OOB  OYR  OYR  OWY
RLL  RLW  RLL  RLL  WLL  LRW  RRW  LRW  LRR  LRR  WLL  WLR  OLW  OLL  OLL
RRY  RRY  WWY  RRY  RRY  YYY  YYY  LLW  LLR  LLR  YLR  YRR  BLL  BWW  BRR
                                                                         
BBL  BBW  BBL  BBL  BBL  LLW  RLL  YYY  YYY  WWY  WOO  WOO  YYW  YYL  WWY
BGL  BGW  BGL  BGL  BGL  LGW  RGL  LGY  LGY  LGY  WGL  WGR  OGW  OGL  OGY
GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG
------------------------------------------- ---- ---- ---------- 031..045
ORY  ORY  OYY  OLW  ORW  ORW  OWW  OLL  OWL  OLL  WYO  WYO  YLO  YRO  YYO
BRR  BRR  BWW  BLR  BRW  BRR  BWR  BLR  BWR  BWW  WYO  LYO  RRO  RRO  RRO
BBW  BBL  BBW  BBR  BBL  BBL  BBL  BBR  BBR  BBW  RYY  LYY  RWW  LWW  RWW
                                                                         
OLY  OWY  OLY  OWW  ORR  OWW  ORR  OWL  OWL  OLY  LLB  WWB  YLB  YRB  YLB
OLR  OLR  OLR  OLL  OLW  OLR  OLR  OWW  OLL  OLR  WRO  RRO  LLO  LLO  LLO
BWW  BLL  BRR  BRR  BLL  BLL  BLL  BRR  BRR  BRR  RRO  LLO  RWO  LWO  RWO
                                                                         
LLY  WWY  LLY  YYY  YYY  YYY  YYY  YYY  YYY  YYY  LBB  RBB  YBB  YBB  YBB
OGY  OGY  OGR  OGY  OGY  OGY  OGY  OGY  OGY  OGR  LGB  RGB  YGB  YGB  LGB
GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG
------------------------------------------- ---- ---- ---------- 046..060
YLO  YLO  YRO  YYO  YYO  RRO  WWO  YBB  YBB  YBB  YBB  YBB  YBB  RBB  LBB
YLO  YLO  YRO  YRO  YWO  RWO  YWO  YWB  YRB  YLB  LLB  WWB  LLB  RLB  WRB
YRR  YWW  YWW  YWW  YWW  YYY  YYY  WWO  RRO  LLO  WLO  WLO  WWO  WLO  WRO
                                                                         
LLB  LLB  LLB  LLB  RRB  LLB  RRB  YRB  YWB  YWB  YRB  YRB  YRB  RRB  LLB
WRO  RRO  RRO  RRO  LRO  RWO  LRO  LRO  LRO  RRO  WRO  LRO  LRO  LLO  WLO
YRO  YWO  YWO  RWO  LLO  YWO  LLO  LLO  LLO  LRO  WLO  LLO  LWO  WWO  RRO
                                                                         
WBB  RBB  LBB  LBB  RBB  LBB  RBB  YRR  YWW  YWW  YRR  YRR  YRR  YYY  YYY
WGB  RGB  LGB  LGB  LGB  LGB  LGB  LGO  LGO  RGO  YGO  YGO  YGO  YGO  YGO
GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG
------------------------------------------- ---- ---- ---------- 061..075
LBB  LBB  RBB  RBB  BBY  BBY  BBY  BBY  BBY  BBY  BBR  BBW  BBL  BBR  BBW
RRB  RWB  RLB  RWB  BWR  BLL  BRY  BLY  BRY  BRR  BRR  BLL  BWL  BRR  BRY
WRO  WWO  LLO  LWO  WWR  WWL  RRY  WWY  WWY  WWR  YYY  YYY  YYY  YYY  YYY
                                                                         
LLB  LLB  RRB  RRB  BLY  BRY  BLY  BLL  BLR  BLY  BWR  BWW  BLL  BLR  BLW
RLO  RLO  WWO  LLO  OLL  ORR  ORW  OLR  ORR  ORY  OLL  OLR  OWR  OWW  ORW
WWO  RRO  LWO  LWO  ORR  OWL  OWW  OWY  OWY  OWY  OLY  OLY  OWY  OWY  ORR
                                                                         
YYY  YYY  YYY  YYY  OLY  OYY  OLL  ORR  OLL  OLL  OWW  ORR  ORR  OLL  OLL
YGO  YGO  YGO  YGO  OGY  OGR  OGL  OGR  OGL  OGL  OGL  OGR  OGR  OGL  OGL
GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG
---------------------------------------------------------------- 076..090
YYY  YLL  WYY  RYY  RRY  YYY  YYY  YRR  YYY  YYY  YWW  YYY  LLY  YBB  YWW
RLL  YLR  LOB  ROB  ROB  LRY  YLR  BOO  BOO  BLL  YWB  WWB  WWB  OOB  YWR
RRL  YYR  LBB  WBB  WBB  LRR  LLR  BBW  BBW  BBL  YBB  WBB  WBB  RRW  YRR
                                                                         
BOY  BOL  WRY  RRY  LLY  OOB  OOB  YLR  LLY  ORY  YRR  YRR  LRY  YLB  LLB
OOW  OOW  WOO  LOO  ROO  WOO  WOO  OOR  OOR  OOW  LOO  LOO  LOO  ROO  OOR
ORL  ORR  LLB  WWB  WWB  LLR  LRR  BWW  BWW  BOL  OOB  OOB  OOB  RWW  YOO
                                                                         
BBW  BBW  RRY  LLY  LYY  WBB  WBB  YLL  LRR  RRW  LLR  LLR  RRY  YLL  LBB
BGW  BGW  RGO  LGO  LGO  WGB  WGB  YGL  LGR  RGW  LGR  LGR  RGY  YGL  LGB
GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG
-------------------------------------------- ---- ---- --------- 091..105
YRR  YWW  BBY  BBW  BBR  YYY  WRR  YYW  YRR  RRY  YYY  RRW  LRR  RRY  BBL
YOR  LWB  BWY  BWW  BRR  LOB  LOB  LOB  YOB  RWY  WRY  RWW  LLR  BRY  BOL
WLL  LBB  WWY  YYY  YYY  LBB  LBB  LBB  WBB  WWY  WRR  YYY  YYY  BBY  RRW
                                                                         
YRB  YOO  BRR  BRR  BLR  WWY  WWR  YWW  YLR  LLB  LLB  LLB  LRB  RLO  BLL
OOL  OOR  LOO  LOO  WOO  OOR  OOR  OOR  OOR  ROO  WOO  ROO  WOO  WOO  ROO
WWL  LLB  OOY  OOY  OOY  LLB  LLB  LLB  WWB  OOY  OOR  OOY  OOY  BOY  RWW
                                                                         
YBB  YRR  LLR  LLR  WLL  WRR  YYY  YRR  YLL  LBB  LBB  LBB  WBB  WLL  YYY
OGB  YGR  LGR  LGR  WGL  OGR  OGY  OGR  OGL  LGB  LGB  LGB  WGB  WGL  YGO
GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG
-------------------------------------------- ---- ---- --------- 106..120
YYY  BBY  BBY  OYY  OYY  OYY  RRO  YRO  YLO  LOO  WOO  YOO  LLY  WYY  RRL
YOO  BLY  BLW  OOY  OOY  OOY  YRB  LRB  LLB  OOR  OOL  OOL  BWY  BLL  BRL
WLL  LLY  LLW  LOY  LOY  WOY  WBB  LBB  RBB  YRR  YYY  RRW  BBO  BBO  BBO
                                                                         
BRR  BRY  BRY  BRR  BWW  BLL  ROO  YOO  YOO  LLB  WWB  YLB  LRY  WRY  RLL
OOL  OOW  OOW  LLW  LLR  WLR  YLL  RRW  LRW  WLR  RRL  RLL  LWO  WLO  WWO
WWL  LOO  LOO  LWW  LRR  WRR  WWB  LLB  RRB  YYY  YLL  RWW  BWO  BLO  BWO
                                                                         
BBR  RRW  RRY  BBR  BBW  BBL  YOL  YOW  YOW  WBB  RBB  YBB  RRY  RRY  YYY
BGR  RGW  RGY  BGR  BGR  BGR  YGL  YGW  YGW  WGB  RGB  YGB  RGO  RGO  YGO
GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG
-------------------------------------------- ---- ---- --------- 121..135
WWL  RLY  WLY  LRY  RYY  WYY  LYY  WYY  RYW  YRR  YRR  YLL  YLL  YLL  YRR
BWL  RLY  RLY  LLY  RLY  RLY  WWY  LLY  RYW  YWR  YLR  YRR  YWW  YRR  YLR
BBO  WWY  RRY  WWY  WWY  RRY  WRY  LRY  YYL  YLL  YWW  YWW  YRW  YRW  YLL
                                                                         
YLL  RRB  WWB  LRB  RRB  WWB  LLB  WWB  RRB  YRB  YRB  YLB  YLB  YLB  YRB
RRO  OLL  OLL  ORR  OLL  OLL  OLR  OLR  OLW  OWL  OLL  OLR  OLR  OLW  OLW
BRO  OWY  ORY  OWY  OWL  ORL  ORR  ORR  OLL  OWL  OWL  OWR  ORR  ORW  OWW
                                                                         
YYY  OBB  OBB  OBB  OBB  OBB  OBB  OBB  OBB  OBB  OBB  OBB  OBB  OBB  OBB
RGO  OGB  OGB  OGB  OGB  OGB  OGB  OGB  OGB  OGB  OGB  OGB  OGB  OGB  OGB
GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG
-------------------------------------------- ---- ---- --------- 136..150
YLL  YLR  YYY  WLL  RLL  LRR  LWW  WRR  WLL  YYY  OBB  BBO  OLL  OYY  WLL
YRL  YLR  RLL  RRL  RWL  LLR  LLR  YRL  YRL  OLB  LRB  BWO  YLB  RRB  OOL
YYW  YYW  RRL  YYY  YYY  YYY  YYY  YYY  YYY  OBB  LRR  YYY  RBB  RBB  YOO
                                                                         
RRB  LLB  YWB  WWB  RRB  LRB  LWB  WWB  WWB  ORY  OWB  BRR  OOL  OOY  WWB
ORL  ORR  OWW  ORL  OWL  OWW  ORR  ORL  ORL  OLW  OWW  LWO  YRW  WLL  RRL
OWW  OWW  ORL  ORY  OWY  OWY  ORY  OLL  ORR  LLB  LLR  YWO  RRB  RLB  YYY
                                                                         
OBB  OBB  OBB  OBB  OBB  OBB  OBB  OBB  OBB  RRW  YYY  LLR  YOW  WOY  RBB
OGB  OGB  OGB  OGB  OGB  OGB  OGB  OGB  OGB  RGW  OGY  LGR  YGW  WGL  RGB
GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG
-------------------------------------------- ---- ---- --------- 151..165
YRR  YYY  LLY  RRY  LLY  RRY  YYO  LLO  LLO  WWO  LLO  RLO  WWO  WWO  OYY
OOR  BLL  LRW  LLW  LRY  LLY  BLL  BRR  BWR  BLR  BLR  BLL  BWR  BLL  ORY
LOO  BBL  OOW  OOW  OOY  OOY  BBL  BBW  BBR  BBR  BBR  BBW  BBR  BBL  RRY
                                                                         
YRB  YOO  BLY  BRY  BLY  BRY  YWO  LRO  LWO  LWO  WWO  RLO  YLO  YWO  LLB
LLW  RRW  RRW  LRW  RRW  LRW  RRO  LRO  LWO  LLO  WLO  RRO  LLO  RRO  ORW
LWW  BRL  ROO  LOO  ROO  LOO  BRL  BWW  BRR  BRR  BRR  BWW  BRR  BRL  OWW
                                                                         
YBB  OOW  BBY  BBY  BBW  BBW  YWW  YYY  YYY  YYY  YYY  YYY  YYY  YYY  LBB
YGB  RGW  BGY  BGY  BGW  BGW  RGO  YGO  YGO  YGO  YGO  YGO  LGO  RGO  LGB
GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG
-------------------------------------------- ---- ---- --------- 166..180
OYR  OWW  ORR  YBB  YBB  YBB  YBB  YBB  WBB  RBB  RBB  RBB  WBB  BBY  BBY
OYR  OWR  ORY  YRB  YWB  YRB  YRB  YLB  RRB  RWB  RLB  RLB  LLB  BRY  BWY
YYW  YYY  YYY  ORR  OWR  ORR  ORW  OLL  OLL  OLL  OWW  OLL  OLR  RRY  LWY
                                                                         
LLB  LLB  LLB  YWB  YLB  YLB  YLB  YWB  WWB  RRB  RRB  RRB  WWB  BWY  BRY
ORR  ORR  ORW  OLL  ORR  OWW  ORR  OLR  ORL  OWL  OLL  OLW  ORR  LRO  LLO
OWW  ORY  OWW  OLR  OWR  OWR  OWW  ORR  ORL  OWL  OWL  OWW  OLR  LLO  LWO
                                                                         
LBB  LBB  LBB  YWW  YLL  YLL  YLL  YWW  YYY  YYY  YYY  YYY  YYY  WWO  RRO
LGB  LGB  LGB  OGL  OGL  OGL  OGL  OGR  OGY  OGY  OGY  OGY  OGY  LGO  RGO
GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG
-------------------------------------------- ---- ---- --------- 181..195
BBY  BBY  BBY  YYY  YYY  YYY  YLL  YWW  LLY  YYY  RRY  LLY  LLY  LLY  RRY
BLY  BLY  BLY  YOO  YOO  YOO  ROO  YOO  BLY  WLY  LLY  LWY  LRY  LRY  WWY
LLY  LLY  WLY  OOR  OOW  OOR  OOW  OOR  BBY  WOO  WWO  RRO  WWO  RRO  WLO
                                                                         
BRY  BWY  BRY  LLB  RRB  WWB  YLB  YWB  OOY  BRR  BRY  BLY  BLY  BLY  BRY
WWO  RRO  LLO  WRR  LRW  LRR  RLW  LRR  WLR  WLL  LRO  RWO  RRO  WRO  LRO
LWO  LRO  WWO  WWR  LLW  LLR  RRW  LLR  BRR  OOL  LWO  RWO  RWO  WWO  LLO
                                                                         
RRO  WWO  RRO  LBB  RBB  WBB  YBB  YBB  WOO  BBR  BBY  BBY  BBY  BBY  BBY
RGO  RGO  RGO  LGB  LGB  LGB  YGB  LGB  WGR  BGR  BGO  BGO  BGO  BGO  BGO
GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG
-------------------------------------------- ---- ---- --------- 196..210
RRY  YYY  YYY  YYY  YYY  YYY  YYY  YRR  OYY  OWW  ORR  RWW  LRR  LLR  OWW
LLY  YRR  YLL  YRR  RWY  RRY  WRY  YWB  RRL  RRL  LWR  RWL  LLR  LRR  LRB
WLO  LRO  RRO  WRO  WWO  WRO  WRO  YBB  RLL  RLL  LWW  OLL  OWW  OWW  LRR
                                                                         
BRY  BWW  BWW  BLL  BLL  BLL  BLL  YLR  OWY  OWY  ORY  RRY  LRY  YLR  OWB
WRO  LLO  RLO  WLO  RLO  RLO  WLO  OWR  OBB  OBB  OBB  OBB  OBB  OBB  OBB
WLO  LRO  RLO  WRO  RRO  WWO  RRO  OWB  RLB  RLB  LLB  OLB  OWB  OWB  LLR
                                                                         
BBY  BBW  BBW  BBL  BBL  BBL  BBL  OLL  WWY  YYY  YYY  YYY  YYY  YYY  YYY
BGO  BGO  BGO  BGO  BGO  BGO  BGO  OGL  OGB  OGB  OGB  OGB  OGB  OGB  OGY
GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG
-------------------------------------------- ---- ---- --------- 211..225
RRL  YYY  LLY  RRL  OBW  YYO  YRR  YRR  YBR  YRR  YYY  LLY  YYY  OOW  LLY
BRL  RLL  WWY  WRL  LRW  RLL  YBB  YWW  YRR  YOO  RRL  BBY  RLL  LRW  WWY
WWO  RRL  WBO  WBO  LRR  RRL  YBW  YBW  YWW  OOW  RLL  WBO  RRL  LRR  WOO
                                                                         
RLL  YWB  LRY  RLL  OBB  YOO  YLR  YLR  BBR  YLR  OOY  LRY  YBB  BOO  LRY
BBO  OBB  LBO  WBO  OBW  BBW  OBR  OBR  LBO  BBR  WBB  LBO  OBW  BBW  LBB
BWO  ORL  BBO  BBO  LLR  BRL  OWW  OBB  YWO  BWW  RLB  WWO  ORL  LLR  OOB
                                                                         
YYY  OWW  RRY  YYY  YYY  YOW  OLL  OLL  LLO  YLL  WOO  RRY  OBW  YYY  RRY
YGO  OGB  RGO  YGO  OGY  BGW  OGL  OGL  LGO  BGL  WGB  RGO  OGW  BGY  RGB
GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG
-------------------------------------------- ---- ---- --------- 226..240
RRL  OOY  YYY  LLY  YYY  YYY  YRR  YYY  WWY  YYY  YYL  YYW  YLL  RRY  YYY
WRL  BOO  OOB  OOB  YLR  LRY  BWW  BWW  BWY  RRO  BBL  BBR  BBL  LRY  RRL
WOO  WLL  WOO  WOO  LLR  LRR  OOW  OOW  OOY  RBO  OBW  OBR  OBW  LYY  RLL
                                                                         
RLL  BRY  YRR  LRY  BOO  BOO  YLR  LLY  LLY  YLO  YLL  YLW  YRR  RBB  YBB
WBB  BBL  LBB  LBB  BBW  BBW  BBR  BBR  BBR  WBO  OBR  OBW  OBL  WBO  WBO
OOB  WWL  WWB  WWB  LRR  LLR  BOO  BOO  BOO  RBB  OWW  ORR  OWW  LLO  RLO
                                                                         
YYY  RRY  LLR  RRY  OOW  OOW  YLL  LRR  LRR  WLL  YRR  YLL  YYR  WBO  WBO
YGB  RGY  LGR  RGY  BGW  BGW  YGL  LGR  LGR  WGL  OGR  OGL  OGR  WGO  WGO
GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG  GGG



Written by Merv Eberhardt of Huntsville, Alabama, USA. <MervEberhardt@knology.net>
Adjusted by Thorleif Bundgaard <thorleif@fam-bundgaard.dk>

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