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Computational Balloon Twisting: The Theory of Balloon Polyhedra

by Erik D. Demaine, Martin L. Demaine, and Vi Hart

in Proceedings of the 20th Canadian Conference on Computational Geometry (CCCG 2008), Montréal, Québec, Canada, August 2008

Paper in PDF format (2.8MB)

Abstract: This paper builds a general mathematical and algorithmic theory for balloon-twisting structures by modeling their underlying edge skeleta, evolving classic balloon animals into the new world of balloon polyhedra.

4-simplex twisted from one balloon.

Cuboctahedron twisted from one balloon.

Classic balloon dog and its model as a graph.

Octahedron twisted from one balloon.