Doyle Spiral Circle Packings Animated

Alan Sutcliffe
Bridges Leeuwarden: Mathematics, Music, Art, Architecture, Culture (2008)
Pages 131–138


Doyle spiral circle packings are described. Two such packings illustrate some of the properties of the packings in general, with some of the mathematics needed for their construction. Each of these two packings is the basis for a short animation. The first uses self-similarity to make endless zooms by repetition of a short sequence. The second animation is composed of short sections using the circle packing in different decorative forms. A visual aid to approximation is described.