I spent about 2 1/4 hrs making and deciphering this bead. There is place for improvement, but the result is interesting.
This "Four of Spades Bead" appears in Fig. 14 in Gwen Fisher and Blake Mellor's paper:
"Three-dimensional finite point groups and the symmetry of beaded beads" (Journal of Mathematics and the Arts, Volume 1, Issue 2 June 2007 , pages 85 - 96)
It is also brought in the Bead infinitum magnificent site: