Winnie Leung
I am an origami artist specialising in tessellations. Since
uniform-sized, straight-lined origami tessellations and fractals are
now fairly common, I want to explore designs that are a bit different.
While playing with star polygon tessellations from Grunbaum's
tessellation book last year, I discovered a simple algorithm that
creates star-based origami corrugations. The algorithm seems to work
on any convex polygon tiling, although the end result may or may not
have zero curvature. So far, I have applied the algorithm to a number
of Archimedean and hyperbolic tilings, as well as the Hirschhorn
Medallion. It would be interesting to see if there exists any pattern
between the base tiling and the curvature of the end results.
This work is inspired by Robert Lang's 3^7 Hyperbolic Limit model.
Using the dual of the 3^7 hyperbolic tiling on a Poincare Disc as
a base, the vertices of the tiles are joined together in straight
lines to form irregular heptagons. Foldable star shapes are then
created within each heptagon, and connected. A light coloured
paper (Skytone) was chosen to accentuate the contrasting light and
shadow of the design. The crease pattern is then machine scored on
the paper and hand folded to form the final model.