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Regular version of the site

Book chapter

Aperiodic Tilings by Right Triangles

P. 29-41.

Let ψ denote the square root of the golden ratio, ψ = ( 5 − 1)/2.
A golden triangle is any right triangle with legs of lengths a, b where
a/b = ψ. We consider tilings of the plane by two golden triangles: that
with legs 1, ψ and that with legs ψ, ψ 2 . Under some natural constrains
all such tilings are aperiodic.
 






In book

Edited by: A. Okhotin, H. Jurgensen, J. Karhumaki. Vol. 8614. Berlin: Springer, 2014.