10101 minimal stick candidate (12 vertices)

2.561334 -4.133737 -0.099790
-0.286624 -2.551244 2.163269
-0.048927 3.529257 -2.418337
1.237291 0.904867 4.004066
-3.758189 -0.119073 -2.838245
-2.873483 2.449682 0.444781
0.379371 -0.725901 -0.677477
0.226155 3.434178 3.412544
4.014013 -0.502039 -4.082957
-1.029743 -5.890346 0.891623
3.959409 3.206047 -0.035472
-4.380619 0.398564 -0.764019