Streptohedrons (Twisted polygons)

David Springett
Bridges London: Mathematics, Music, Art, Architecture, Culture (2006)
Pages 285–292

Abstract

Imagine a simple form, a cone with a symmetrical cross-section. Now split that cone from apex to base, twist the two halves and re-join. Before your eyes a new, complex form is produced. Imagine more intricate geometric solids which are split, twisted and re-joined, magically producing shapes which coil and twirl - shapes not seen before, unexplored shapes. Remove the inner form of some of these twisted shapes and a path or ribbon remains. These shapes, these ribbons, this idea, will excite the Mathematician, the Sculptor and artist alike.

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