Octamatch - 8 sided edge-matching

Octamatch

This page shows possible placements of the solids with diamonds or squares on two outside edges (stripes) of the overall configuration, and the opposite (squares or diamonds, respectively) between them.
There are 34 possible placements of the solids for the left/right diamond placements.
There are 25 possible placements of the solids for the top/bottom diamond placements.
Three of them show up on both lists:

0,14,22
1,14,22
2,10,14

There are just 8 possible choices for left/right square placements.

Note that in each case, there are single-color stripes where the diamonds and squares meet.

For the special case of diamonds as two outside stripes AND the middle positions of the other two edges, all solutions were found. Those two diamonds can only be solids, because they each face three squares. The most symmetric of these solutions, at 80%, are in the table below. 38698 solutions were found, but only a handful of solid placements:
1,10,14: 15972 2,10,14: 6876 5,10,14: 16210 (equivalent to 0,10,14)