---
title: "Frank Lloyd Wright’s Use of Apollonian Nets"
type: "post"
post_id: "169"
slug: "frank-lloyd-wrights-use-of-apollonian-nets"
canonical: "https://workshophiraku.com/?p=169"
markdown_url: "https://workshophiraku.com/?easypress_markdown_post=169&easypress_markdown_format=md"
json_url: "https://workshophiraku.com/?easypress_markdown_post=169&easypress_markdown_format=json"
txt_url: "https://workshophiraku.com/?easypress_markdown_post=169&easypress_markdown_format=txt"
published: "2025-08-04T15:21:31+00:00"
modified: "2025-08-04T15:21:31+00:00"
author: "Jon"
categories:
  - "Fractals"
  - "Frank Lloyd Wright"
tags:
site_name: "workshophiraku.com"
publisher: ""
language: "en-US"
generator: "easyPress Markdown"
generator_version: "1.0.6"
---
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](http://mathworld.wolfram.com/ApollonianGasket.html).

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.

![](https://workshophiraku.com/wp-content/uploads/2025/08/mandelbrot171-ticelaseau37-1024x483.jpg)Apollonian Gasket or Apollonian Net, courtesy: Benoit Mandelbrot’s, “The Fractal Nature of Geometry,” p. 171The image below is from Paul Laseau’s and James Tice’s book, p. 37. The left column shows a clear fractal pattern.

![](https://workshophiraku.com/wp-content/uploads/2025/08/ticelaseau37-mandelbrot171-1024x801.jpg)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.