Polyhedral Sculptures with Hyperbolic Paraboloids

Year: 1999 Authors: Erik D. Demaine; Martin L. Demaine; Anna Lubiw

Core claim

Any polyhedron can be algorithmically represented by a hyparhedron built from glued hyperbolic paraboloid paper models.

Topics

hyperbolic paraboloids, origami folding, polyhedral sculpture, combinatorial topology

Domains

geometry, topology, polyhedra, algorithmic construction, origami, sculpture, architectural forms, paper art

Methods

crease-pattern folding, edge-to-edge gluing, polyhedron-to-sculpture algorithm, generalized polygon folding

Media

paper, crease patterns, 3D images

Source status

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