A dodecic curve is a plane algebraic curve of
degree 12 (Fulton 2008, p. 31).
The following table illustrates named examples of dodecic curves.
The ranunculoid is a five-cusped epicycloid
of degree 12 (Piene et al. 2025).
See also
Algebraic Curve,
Plane
Curve,
Polynomial Degree
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References
Fulton, W. Algebraic Curves: An Introduction to Algebraic Geometry. Online edition, 2008. https://www.sas.rochester.edu/mth/sites/doug-ravenel/otherpapers/fulton-curves.pdf.Piene,
R.; Riener, C.; and Shapiro, B. "Return of the Plane Evolute." Ann.
Inst. Fourier 75, 1685-1751, 2025. https://doi.org/10.5802/aif.3703.
Cite this as:
Weisstein, Eric W. "Dodecic Curve." From
MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/DodecicCurve.html
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