An attractive tiling of the square composed of two types of triangular tiles. It consists of 16 equilateral
triangles and 32 
-
-
isosceles triangles
arranged in the shape of a dodecagon.
The composition of Kürschák's tile is motivated by drawing inward-pointing equilateral triangles on each side of a unit square and then connecting adjacent vertices to
form a smaller square rotated 
with respect to the original square.
Joining the midpoints of the square together with the intersections of the equilateral
triangles then gives a dodecagon (Wells 1991) with
circumradius
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