The Manifold Beauty of Piano-hinged Dissections

Year: 2005 Authors: Greg N. Frederickson

Core claim

Piano-hinged dissections extend geometric dissections into durable folding models with varied cyclic and noncyclic behaviors.

Topics

geometric dissections, hinged puzzles, folding transformations, polygonal figures

Domains

geometry, combinatorial geometry, tessellations, polyominoes, origami, mathematical recreation, paper folding, toy design

Methods

piano-hinged construction, cyclic hinging, vertex-cyclic hinging, tube-cyclic hinging

Media

paper models, polygonal pieces, prism-like levels, hinges

Source status

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