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math.DS2016
A single fractal pinwheel tile
Christoph Bandt, Dmitry Mekhontsev, Andrei Tetenov
The pinwheel triangle of Conway and Radin is a standard example for tilings with self-similarity and statistical circular symmetry. Many modifications were constructed, all based o…
math.DS2016
The two-dimensional density of Bernoulli Convolutions
Christoph Bandt
Bernoulli convolutions form a one-parameter family of self-similar measures on the unit interval. We suggest to study their two-dimensional density which has an intricate combinato…