Ruled Free Forms

The geometry of ruled surfaces is highly relevant for freeform architectural design, owing to the fact that any negatively curved freeform shape can be approximated by a smooth union of ruled surface strips. This information is important for the efficient manufacturing of both skins and underconstructions. The present paper discusses how to algorithmically solve this approximation problem. In particular we emphasize the special class of conoidal ruled surfaces which suggest new and simple ways of surface generation.

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