Octamatch - eight-sided edge matching

Octamatch

Diagonal of Squares

This page shows possible placements of the solids with diamonds on two opposite 6-piece corners and the rest squares, a "stripe" of squares.

Almost of necessity, all placements have some fairly symmetric solutions.

For the inverse pattern of diamonds and squares, see corners3.html.


Solids	Time (secs)	# Solutions	Max symmetry (/60) : how many	Time (secs)	# Solutions	Max symmetry (/60) : how many
0,2,10 D	--	--	--	83	114/2	52 : 4
0,2,14	73	820	51 : 1	--	--	--
0,2,16	--	--	--	35	61	51 : 1
0,2,18	52	312	48 : 4	--	--	--
0,2,22	23	681	52 : 8	26	133	52 : 2
0,8,22	--	--	--	6	58	47 : 2
0,14,22 D	--	--	--	19	104/2	51 : 4
2,6,10 D	--	--	--	320	1788/2	56 : 4
2,6,16	--	--	--	177	832	51 : 2
2,6,22	--	--	--	241	1559	54 : 3
2,10,18 D	--	--	--	409	1264/2	56 : 12
2,16,18 H	183	696	48 : 3	114	(696)	48 : 3
Totals:		2509			+ 4278	= 6787

For this configuration, the totals are shown.
For the 2,16,18 start, we only count one side of the table, since the solutions are mirrors of each other. For the four starts marked "D" above (for Diagonally symmetric start), each basic solution is found twice, as a diagonal reflection with color swap.
The solutions presented below are the ones of maximum symmetry for each placement of the solids, as indicated in the table above.

For example, this one, with either 93.3% or 95.8% symmetry,
depending how you count adjacent same-color segments.