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Home > Gwen L. Fisher :: Woven Beads

"Sierpinski Tetrahedron (View II)," iby Gwen Fisher (

Materials: glass bugle beads, size 11/0 and 8/0 seed beads, Fireline thread

There are several ways to build a polyhedron with beads. One technique that will always work is to align the hole of a bead along each edge of the polyhedron. Then, the thread connects the beads at the vertices of the polyhedron. The most stable polyhedron is the tetrahedron because it is made of all triangles. In a beaded tetrahedron, there are three sets of beads in each loop, like the three sides of a triangle. Any regular tetrahedral beaded bead will naturally require six identical sets of beads, one set for each of the six edges of the tetrahedron. In this case, a set is three beads: a short, a long and a short. Rather than give an example of the simplest tetrahedron, I have used a more complex design based on the structure resulting from the third iteration in the construction of the "Sierpinski Tetrahedron" with its 64 little tetrahedrons. Adding a bead at each interior vertex is necessary to stabilize the structure and make it more rigid. --- Gwen Fisher (

circular-celtic-knot.jpg sierp-1.jpg sierp-2.jpg sierp-3.jpg sierp-4.jpg

American Mathematical Society