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This simple applet lets you play interactively with the shapes
of Penrose tiles that arise using the geometric matching conditions
from Section 10.3 of Grünbaum and Shephard. The prototiles
are shown on the left, and a sample patch of tiles on the right.
You can click on any prototile edge and drag to create a new
vertex. Control-click on a vertex to delete it. Drag the
sliders below to change the 'tiling vertex parameterization'
(details in my
dissertation).
The two buttons on top reset everything to a new tiling of
type P2 (kites and darts) or P3 (rhombs).
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