Wednesday, March 17, 2021

Denser than Diamond Weft

Diamond Weft is a rather low density sketch of the Schwarz D-surface, and its material elements don't actually lie in the D-surface (it's the missing hypotenuse of their right-triangular cross-sections that is actually in the surface.) What happens when we make the sketch denser by shortening the distance between crossings? The stereopair above shows a single saddle hexagon after the segments between crossings have been shortened to squares. Each folded weaving element wraps a tunnel of square cross-section. While this is just an assemblage of six folded strips of paper, it gains a certain rigidity when the cycle is closed.

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