Figures for "Spiral packing"

Cameron Browne and Paul van Wamelen

 


Figure 1. Archimedes's spiral and its footprint.

 

Figure 2. Spiral packing: (a) a seed pair, (b) simple branch, (c) fitting to one other, and (d) fitting to two others.

 

Figure 3. Branch geometry: (a) simple branch, (b) fitting to one other, and (c) and fitting to two others.

 

Figure 4. Apollonian circle packing and the Apollonian Gasket.

 

Figure 5. Zoomed views of a sparsely packed area.

 

Figure 6. Spiral illusion of depth.

 

Figure 7. A single connected set of spirals.

 

Figure 8. Under the spreading curly tree (ficus archimedea).

 

Figure 9. Intertwined arms in red, green and blue palettes. Each arm is a single connected spiral set.

 

Figure 10. Four connected spiral sets exported as polyspheres mapped onto a hemisphere.

 

Figure 11. A mural in the Aya Sofia Mosque (Istanbul) and the Newgrange tri-spiral (Ireland).