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IASS 2016 Tokyo Symposium: Spatial Structures in the 21st Century


IASS Symposium 2016

SESSION: Deployable Structures

Flexible polyhedra with two degrees of freedom

< Table of Contents for Deployable Structures
  • Proceedings Name: IASS 2016 Tokyo Symposium: Spatial Structures in the 21st Century
  • ISSN: (Electronic Version) 2518-6582
  • Session: Deployable Structures
  • Pages: 9
  • Title: Flexible polyhedra with two degrees of freedom
  • Author(s): Iila Lijingjiao, Tomohiro Tachi, Simon D. Guest
  • Keywords: polyhedron, flexibility, rigidity, finite mechanism
Abstract
Polyhedra were long considered rigid, but following Connelly, flexible examples with one degree-of-freedom have been known. Here we show a flexible polyhedron with two degrees-of-freedom, generated using a scheme that could be extended to multiple degrees-of-freedom. A polyhedron that has two degrees of freedom is generated based on a set of three tetrahedral joined along edges. Crinkles are added to turn this underlying object into a polyhedron without removing the flexibility. The parameters defining the polyhedron are adjusted to remove clashes and extend the range of motion. We examine whether the two degrees-of-freedom are linked, to determine whether the range of motion of one hinge limits the range of motion of the other, but for a particular example we find that this is not the case.

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