52 minimal stick candidate (8 vertices)

1.461504 -1.601349 0.221098
-1.461780 -1.600448 -0.221423
1.211227 0.899200 0.806689
0.043600 1.793685 -0.745001
-0.969712 -1.092360 1.307509
0.969277 -1.091988 -1.307834
-0.043186 1.793208 0.745313
-1.210918 0.899995 -0.806324