Discovered Tilings

Tiling with Transcendental Inflation Multiplier

An one-dimensional substitution rule that uses an infinite number of proto tiles and yields a transcendental inflation multiplier.

The inflation factor is approximately $2.7899$.

The substitution rules are given by:

$T_{0}\rightarrow T_{0},T_{1}$

$T_{1}\rightarrow 3T_{0},T_{2}$

$T_{2}\rightarrow …

One Dimensional Self Similar Substitution