Proceedings of Bridges 2015: Mathematics, Music, Art, Architecture, Culture (2015)

Pages 1–8 Regular Papers

Motivated by a (layered) folding dissection of a 2-high {10/3}-star
to a 4-high {5/2}-star, we identify an infinite class of folding
dissections for pseudo-stars for which the dissections are cyclicly
hinged. In addition to folding dissections of 2-high to 4-high
pseudo-stars, the class includes folding dissections of 2-high to
(2*h*)-high pseudo-stars for any whole number *h*,
as well as folding dissections of (2*h*)-high to
(2*h′*)-high pseudo-stars where *h* and
*h′* are whole numbers such that
gcd(*h*, *h′*) = 1. The total number of pieces in each of
these folding dissections is the sum of the number of points in both stars.

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