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Home > Gwen L. Fisher :: Woven Beads

"Unlikely Tetrahedron (View 1)," by Gwen Fisher (

Materials: size 15° seed beads, 3 mm bugle beads, 3 mm Swarovski crystal, thread. 34 mm on an edge.

I applied the beading techniques I used to turn Impossible Triangles into beaded art objects to a tetrahedron. The Unlikely Tetrahedron generates no corresponding optical illusion. The faces form three distinct paths that twist around the sculpture in unexpected ways. Each beam includes all three colors of faces, with one color on two opposite faces. Like a Möbius band, as you follow a path around the piece, sometimes when you get back to a beam, you return to the opposite face. Thus, it feels like you have to travel around the sculpture twice just to get back to where you started. --- Gwen Fisher (

unlikely-tetra-1.jpg unlikely-tetra-2.jpg unlikely-dodeca-1.jpg unlikely-dodeca-2.jpg beaded-hyperbolic-tiling.jpg

American Mathematical Society