6.849: Geometric Folding Algorithms: Linkages, Origami, Polyhedra (Fall 2012)
[Problem Session Notes]
Hinged dissections: animations, polyform inductive construction,
rectangle to rectangle, furniture, pseudopolynomial construction, 3D,
This lecture covers four additional results:
Along the way, we'll see some fun examples of animation and furniture.
- How polyform (polyomino, polyiamond, polyhex, polycube, etc.)
hinged dissection works
- How rectangle-to-rectangle (nonhinged) dissection works
- How we obtain a pseudopolynomial bound on hinged dissection
- How (nonhinged) dissection works in 3D and 4D:
the Dehn invariant
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