Fractals - Frank Lloyd Wright

Frank Lloyd Wright’s Use of Apollonian Nets

Once again, Paul Laseau and James Tice, authors of “Frank Lloyd Wright, Between Principle and Form” reveal an element of Frank Lloyd Wright’s fractal intuition. A fractal pattern called an “Apollonian Net” or “Apollonian Gasket” is composed of a triplet of circles, each of which is tangent to the others. A complete description can be found at Wolfram MathWorld.

This is not as common as other fractals, but it still represents self-similarity of scale. The three circles do not necessarily have to be within another circle, as the MathWorld entry shows.

Apollonian Gasket or Apollonian Net, courtesy: Benoit Mandelbrot’s, “The Fractal Nature of Geometry,” p. 171

 

The image below is from Paul Laseau’s and James Tice’s book, p. 37. The left column shows a clear fractal pattern.

Frank Lloyd Wright’s Site Plans. Note the left column that resembles an Apollonian Net. Formed from triplets of circles, where each circle is tangent to the others.