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Home > Gwen L. Fisher :: Woven Beads
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"Hyperbolic Tiling," by Gwen Fisher (

Materials: size 11° seed beads and thread. 63 mm diameter

This is a beaded version of the hyperbolic rhombitetrahexagonal tiling. This tiling is composed of squares and hexagons with three squares and one hexagon around every vertex. I made two of the types of squares green to emphasize the stripes in the tiling. The other type of square is purple, and the hexagons are pink. To make this tiling with bead weaving, I used an across-edge weave. In particular, for the squares, I weaved loops of four beads of the same color for each square, and loops of 6 beads for the hexagons. Then, I attached the loops with one bead per adjacent pair. So the holes of the beads that lie on the edges of the tiling are perpendicular to the the edges. --- Gwen Fisher (

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American Mathematical Society