Nonorthogonal Polyhedra Built from Rectangles

Details Nonorthogonal Polyhedra Built from Rectangles Nonorthogonal Polyhedra Built from Rectangles

2001-10-29

arxiv.org/abs/cs/0110059v2

Computer Science

Computational Geometry

19 pages, 20 figures. Revised version makes two corrections: The statement of the old Lemma 14 was incorrect. It has been corr

Scientific paper

We prove that any polyhedron of genus zero or genus one built out of
rectangular faces must be an orthogonal polyhedron, but that there are
nonorthogonal polyhedra of genus seven all of whose faces are rectangles. This
leads to a resolution of a question posed by Biedl, Lubiw, and Sun [BLS99].

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