Sculpturing Surfaces with Cartan Ribbons

Year: 2016 Authors: Matteo Raffaelli; Jakob Bohr; Steen Markvorsen

Core claim

Any surface can be approximated and sculptured with flat Cartan ribbons pasted along curves, provided the curves avoid asymptotic directions.

Topics

surface approximation, ribbon geometry, rolling without slipping

Domains

differential geometry, Cartan development, Darboux frame, sculpture, architectural surfaces, product design

Methods

surface rolling, ribbonizing, geometric approximation

Media

paper, thin metal plate, bendable flat material

Source status

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