This page shows solutions with 93.3% horizontal symmetry.
In each solution, just FOUR segments are asymmetric.
In this figure,
the symmetry is better shown.
Note how the two outside
columns can be permuted to generate 300 solutions, all
with the same center three columns.
See corners5.html for solutions with
93.3% diagonal symmetry.
Most symmetric solutions
A fourth symmetric position of solids (2,11,13),
has 6552 solutions, with 32 of them having maximum symmetry
of 88%, slightly below the ones shown here.
Red is symmetric with itself, and blue with green.