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We show how we found substitution rules for a quasiperiodic tiling with localrotational symmetry and inflation factor 1 + sqrt(3). The base tiles are asquare, a rhomb with an acute angle of 30 degrees, and equilateral trianglesthat are cut in half. These half-triangles follow three different substitutionrules and can be recombined into equilateral triangles in nine different waysto make minor variations of the tiling. The tiling contains quasiperiodicallyrepeated 12-fold rosettes. A central rosette can be enlarged to make anarbitrarily large tiling with 12-fold rotational symmetry. An online computerprogram is provided that allows the user to explore the tiling.

A Quasiperiodic Tiling With 12-Fold Rotational Symmetry and Inflation Factor 1 + Sqrt(3)