The atom-spiral, also known as the atomic spiral, is the curve with polar
equation
for a real parameter
(van Maldeghem 2002).
When is allows to vary over positive and
negative values (excluding ),
curves like the ones illustrated above, shown for a variety of parameters , result.
When is allows to vary over angles , curves like teh above are
obtained.
2dcurves.com. "Atomic Spiral." https://www.2dcurves.com/spiral/spiralas.html.van Maldeghem, A. "A Remarkable Spiral." Symmetry: Art and Science,
Vol. 2, Nos. 1-4. Special Issue: Papers Presented at the Matomium Euro-Workshop,
a Regional Congress of ISIS-Symmetry, Supported by the European Commission. pp. 305-311,
2002.