Folding Pseudo-Stars that are Cyclicly Hinged

Year: 2015 Authors: Greg N. Frederickson

Core claim

Pseudo-stars admit cyclicly hinged folding dissections from one highness to another, including 2-high to 4-high and more general “(2h)”-high to “(2h’)”-high conversions when gcd(h, h’) = 1.

Topics

geometric dissection, hinged folding, pseudo-stars, cyclic hinging, recreational mathematics

Domains

geometry, combinatorics, dissections, polygrams, mathematical art, paper folding, kinetic sculpture, craft

Methods

constructive proof, hinged assembly, parameterized family, physical model

Media

laser-cut cherry wood, clear tape, paper figures, photos

Source status

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