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0       .          Boards need colouration ideally for clear two Bishop
  I      ._.         bindings. Each level adds 1 more corner binding 
 II     ._._. 2-4    than odd binding: 1-0; 3-1; 6-3 by Level III left.
III    ._._._. 5-9   By 11^11^11 there are 66 Black and 55 White cells,
 IV   ._._._._.10-16 correcting previous. In the event, the corner Bishop
  V  ._._.X._._.     has significant edge in piece-value vis-a-vis odd
 VI ._._._._._._.    Bishop. They could also be called exterior Bishop
VII._._._._._._._.   and interior Bishop.   Place Knight at 21 Level V,
which is a corner Bishop cell, marked X. Wherefrom Knight has 6 arrival
squares, one each through side or vertex to 7,10,16,28,34, and 43. To
Knight it makes no difference in the ''feel'' whether side or vertex.
To Falcon, however, there is slight difference, as should already be evident. That
covers Queen, Rook, Bishop and Knight in perfect equilateral triangles.
Rook, Bishop and Knight are mutually exclusive essentially by nature in any
worldly geometry. [''Geometry'' invokes Kepler who established Plato's that God geometrizes. Corresponding sixty-four Modern Queen Chess was already 100 years old when Tycho Brahe hired Kepler to work at Prague in 1600. Close: Tycho's model had Sun and Moon revolving Earth and the other planets revolving the Sun, but he did replace Ptolemy's sky chart, which everyone used all 1400 years. Also the same exact year of 1600, Bruno inquisitionally had jaws spiked shut through the palate and by cloaked priests known as the Order of Mercy and Pity was bound, stripped and burned at the stake in holy Rome. Afterword: Having refused to recant, ''He could say to himself something that Galileo should have said, but did not say -- 'Nevertheless it does move.''']