!Lr(0:27) = "Locations"                            JMS 2023.08.20.0750
!%nL  %ijk     %iFaces           %nLnames
!     i  j  k  1  2  3  4  5  6   1            2            3
   0, 0, 0, 0, 0, 0, 0, 0, 0, 0, "  :none ,", "  :none ,", "  :none  "
   1,-1,-1,-1, 1, 0, 1, 0, 1, 0, "-X:rear ,", "-Y:left ,", "-Z:top   "
   2, 1,-1,-1, 0, 1, 1, 0, 1, 0, "+X:front,", "-Y:left ,", "-Z:top   "
   3,-1, 1,-1, 1, 0, 0, 1, 1, 0, "-X:rear ,", "+Y:right,", "-Z:top   "
   4, 1, 1,-1, 0, 1, 0, 1, 1, 0, "+X:front,", "+Y:right,", "-Z:top   "
   5,-1,-1, 1, 1, 0, 1, 0, 0, 1, "-X:rear ,", "-Y:left ,", "+Z:bottom"
   6, 1,-1, 1, 0, 1, 1, 0, 0, 1, "+X:front,", "-Y:left ,", "+Z:bottom"
   7,-1, 1, 1, 1, 0, 0, 1, 0, 1, "-X:rear ,", "+Y:right,", "+Z:bottom"
   8, 1, 1, 1, 0, 1, 0, 1, 0, 1, "+X:front,", "+Y:right,", "+Z:bottom"
   9, 0,-1,-1, 0, 0, 1, 0, 1, 0, " x0edge ,", "-Y:left ,", "-Z:top   "
  10,-1, 0,-1, 1, 0, 0, 0, 1, 0, "-X:rear ,", " y0edge ,", "-Z:top   "
  11, 1, 0,-1, 0, 1, 0, 0, 1, 0, "+X:front,", " y0edge ,", "-Z:top   "
  12, 0, 1,-1, 0, 0, 0, 1, 1, 0, " x0edge ,", "+Y:right,", "-Z:top   "
  13,-1,-1, 0, 1, 0, 1, 0, 0, 0, "-X:rear ,", "-Y:left ,", " z0edge  "
  14, 1,-1, 0, 0, 1, 1, 0, 0, 0, "+X:front,", "-Y:left ,", " z0edge  "
  15,-1, 1, 0, 1, 0, 0, 1, 0, 0, "-X:rear ,", "+Y:right,", " z0edge  "
  16, 1, 1, 0, 0, 1, 0, 1, 0, 0, "+X:front,", "+Y:right,", " z0edge  "
  17, 0,-1, 1, 0, 0, 1, 0, 0, 1, " x0edge ,", "-Y:left ,", "+Z:bottom"
  18,-1, 0, 1, 1, 0, 0, 0, 0, 1, "-X:rear ,", " y0edge ,", "+Z:bottom"
  19, 1, 0, 1, 0, 1, 0, 0, 0, 1, "+X:front,", " y0edge ,", "+Z:bottom"
  20, 0, 1, 1, 0, 0, 0, 1, 0, 1, " x0edge ,", "+Y:right,", "+Z:bottom"
  21, 0, 0,-1, 0, 0, 0, 0, 1, 0, "         ", "         ", "-Z:center"
  22, 0,-1, 0, 0, 0, 1, 0, 0, 0, "         ", "-Y:center", "         "
  23,-1, 0, 0, 1, 0, 0, 0, 0, 0, "-X:center", "         ", "         "
  24, 1, 0, 0, 0, 1, 0, 0, 0, 0, "+X:center", "         ", "         "
  25, 0, 1, 0, 0, 0, 0, 1, 0, 0, "         ", "+Y:center", "         "
  26, 0, 0, 1, 0, 0, 0, 0, 0, 1, "         ", "         ", "+Z:center"
  27, 0, 0, 0, 0, 0, 0, 0, 0, 0, "  :center", "  :center", "  :center"

----------------------------------------------------------------------
! 2025.01.03                   +X
!                              /
!                             /
!    (+1,-1,-1)= 2-----11------4 =(+1,+1,-1)
!               /      /|   . /|
!              9-----*21----12 |
!             /| |   /| | . /| |
!(-1,-1,-1)= 1-----10------3 | |
!            | | |  | | |. | | |
!            | |14--|-|*24-|-|-16
!            | |/|  | |/|  | |/|
!            |*22---|*27---|*25 ....+Y->  Move Choices(7,8,G)
!            |/| |  |/| |  |/| |    Indices:  1-thru- 8 are 2x2x2      corners
!           13-----*23-----15| |           :  9-thru-20 are 3x3x3      edges
!            | | |  | | |  | | |           : 21-thru-26 are 3x3x3 face centers
!            | | 6--|-|19--|-|-8 =(+1,+1,+1)          --------------------
!            | |/   | |/   | |/            :     27  accumulates rotations
!            |17----|*26---|-20            :      0   pure Euler rotations
!            |/     |/.    |/                          (face independent)
!(-1,-1,+1)= 5-----18------7 =(-1,+1,+1)
!                     |         Solving a 2x2x2 is nearly as difficult as
!                     |         solving just the corner cells of a 3x3x3.
!                    +Z  Move Choices(B,C,I)
!--------------------------------------------------------------------------