Intersecting Helices

(Proceedings pages 381–384)

In two dimensions a sequence of equally spaced parallel lines will
intersect with another such sequence set at some angle to form a
regular tiling of rhombi. If the lines are replaced by sine curves
there are many more possibilities, depending on the relative phases
of the curves. In three dimensions sets of parallel lines will
intersect only in particular cases, since usually lines from different
sets will be skew. A helix is a natural three-dimensional analogue
of a sine curve, and again arrays of helices will intersect only
in particular cases. Such configurations are so intricate visually
that even small pieces of the infinite structure provide interesting
sculptural forms.

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