Tuesday, May 25, 2021

The weave pattern of a triangular helix

The stereogram shows a portion of the woven D-surface built up along the axis of a single triangular helix, that is, built above one of the triangles in this diagram,

The triangle is small, in the view along the axis the weaving elements appear to be engaging a single point.

Since each weaving element in the helix engages only two others, this is not really a weave structure that can hold together. By comparison, in a "Star-of-David" arrangement of 6 triangular helices around a hexagon, each weaving element engages four others. This is might be the smallest "tower" that can be bult along the isometric axis if the weaving elements are held by their own friction.

No comments: