Tuesday, May 7, 2013

The smallest anyam gila braided tube with triangular facets

The tetrahelix is a tube with triangular facets, but a  is not commensurate with anyam gila weaving. Other small diameter tubes require weavers that are smoothly-bent rather than triangle-faceted. Some other small diameter tubes are un-braidable because their weavers form closed loops. I believe this 5-4-1 triangulated helix (the tetrahelix is a 3-2-1 triangulated helix) is the smallest triangle-faceted tube that can be braided by anyam gila (mad weaving.) By 5-4-1, I mean that the triangular faces can be triply covered by triangle strips in three classes of helix angles, and the counts of weavers in each class are 5, 4, and 1 (thus a total of 10 weavers are needed to braid this tube in anyam gila.) The practical application would be to make a column by triaxial braiding.


Net for the 5-4-1 triangulated helix (already decorated with the tumbling blocks anyam gila pattern.)

The anyam gila pattern does not line up unless torsion is applied to the tube when closing it.

The 5-4-1 triangulated helix decorated with the pattern of anyam gila weaving. The practical application would be to make a column by triaxial braiding.

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