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This page shows "mostly symmetric" solutions with diagonal symmetry.

The placement of squares and diamonds is half-and-half across the upper-right/lower-left diagonal.

The solids are placed symmtrically with respect to the first diagonal.
Three placements are shown: blue on the upper-left/lower-right diagonal, and red and green symmteric on either side of it.

Solid
positions		Symmetric solutions/
Total solutions		 Degree of
symmetry
0,2,105 / 84,00777%
0,3,1511 / 548,33577%
6,8,162 / >750,00088%


A second arrangement of diamonds and squares produces other results:
Solids at 0,9,21: 2 of 44 solutions have 77% symmetry.
Solids at 0,3,15: 2 of 42 solutions have 82% symmetry.


For this "stripe" configuration, several positions produced symmetry of 83.3% or more. Interestingly, a couple of them (marked with *'s) do NOT place the solids symmetrically! For more information, see corners3sum.html. For an exploration of the reverse pattern of diamonds and squares, see corners5.html. That configuration has solutions with even fewer segments asymmetric.

Solid
positions		Symmetric solutions/
Total solutions		 Degree of
symmetry
1,10,18*2 / 1183.3%
2,10,183 / 6885%
6,13,1732 / 775690%
2,11,17*8 / 2019483.3%
1,16,1912 / 9283.3%