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Hinged dissection


Hinged dissection: A hinged dissection, also known as a swing-hinged dissection or Dudeney dissection, is a kind of geometric dissection in which all of the pieces are connected into a chain by "hinged" points, such that the rearrangement from one figure to another can be carried out by swinging the chain continuously, without severing any of the connections. Typically, it is assumed that the pieces are allowed to overlap in the folding and unfolding process; this is sometimes called the "wobbly-hinged" model of hinged dissection.

Printed books with definitions for Hinged dissection

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Google previewFun with Algorithms (2014)

7th International Conference, FUN 2014, Lipari Island, Sicily, Italy, July 1-3, 2014, Proceedings by Alfredo Ferro, Fabrizio Luccio, Peter Widmayer

2 Hinged Dissections A hinged dissection is a hinged chain of blocks that can fold into multiple shapes. Although hinged dissections ...

Google previewHow to Fold It (2011)

The Mathematics of Linkages, Origami, and Polyhedra by Joseph O’Rourke

A hinged dissection is a dissection where the pieces are hinged at vertices so that the whole hangs together as a single piece (it is connected), and the transformation can be effected by rotations about the hinges. 2D dissections have been a ...

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