Knot patterns: my first try

esseI’ve seen my nine years old son drawing this geometry on a squared notebook. He saw my interest and simply told me “mummy, I can show you how to draw it” and repeated the sequence of segments just for me. I started being captured by the sequence, the 2D geometry, the symmetry and I imagined it as a 2D projection of an “8” shaped spiky knot. I have always been fascinated by knots, especially as patterns, like the celtic motifs. This triggered me now as a 2D/3D designer and I came up with decomposing the shape in simple repeated elements to be reproduced as an array (copied, mirrored, turned).

With FreeCAD, first I drew the basic geometry elements as two sketches

centro_lato

and repeated them in  arrays with the same distance between elements.

centre_array

arraysThen, mirroring the left array symmetrically on the other side of the “S” shaped one ,pattern I could easily reproduce a sequence of “two crossing ribbons”, without closing the ends as in the initial “8” knot.

The three arrays all together compose the pattern I was looking for, made of the two simple basic sketch objects.

It is still a 2D drawing, the 3D alternate overlapping of the two threads is left to the imagination of the observer, while it could be helped with colors.

As a fan of the works of a geometry genius as M.C.Escher, I also started trying to imagine how this shape could be turned and placed in 2D space to auto intersect with its own copies… see my next post.

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