above: Low pressure system over Iceland. Image from NASA, taken on 2003-09-04. (Source↗ 2008-04) (Source↗ 2008-04)
Cyclones↗ in general have the shape of equiangular spiral.
above: A cut-away view of the Nautilus↗ shell. Photo by “Chris 73”. source ↗
In general, Spiral-shaped growths in nature are mathematicaly equiangular spirals.
adove: A snail, showing equiangular spiral. More photos of seashells at Beautiful Seashells Exhibition.
above: Romanesco broccoli↗, exhibiting equiangular spiral and fractal geometry. ( full size. Photo courtesy of Dror Bar-Natan↗)
above: A Hawaiian ferm. exhibiting Archimedes' Spiral. (photos courtesy of Dror Bar-Natan↗)
above: Great Mosque of Samarra↗, exhibiting Archimedean Spiral.
above: The neck of a unfinished violin. Such a spiral in ornament is usually called a volute↗.
Mathematics of Seashell Shapes.
Archimedes' spiral, Clothoid, Lituus, equiangular spiral.
© 2002-2008 by Xah Lee.