Rose
A curve which has the shape of a petalled flower. This curve was named Rhodonea by the Italian mathematician GuidoGrandi between 1723 and 1728 because it resembles a rose (MacTutor Archive). The polar equation of the rose is
or
If
is Odd, the rose is -petalled. If is Even, the rose is 
-petalled. If is Irrational, then there are an infinite number of petals.The Quadrifolium is the rose with 
. The rose is the Radial Curve of the Epicycloid.
References
Lawrence, J. D. A Catalog of Special Plane Curves. New York: Dover, pp. 175-177, 1972. Lee, X. ``Rose.''http://www.best.com/~xah/SpecialPlaneCurves_dir/Rose_dir/rose.html. MacTutor History of Mathematics Archive. ``Rhodonea Curves.''http://www-groups.dcs.st-and.ac.uk/~history/Curves/Rhodonea.html. Wagon, S. ``Roses.'' §4.1 in Mathematica in Action. New York: W. H. Freeman, pp. 96-102, 1991.
- Hölder Condition
- Hölder Integral Inequality
- Hölder Sum Inequality
- i
- I
- Iamond
- Ice Fractal
- Icosagon
- Icosahedral Equation
- Icosahedral Graph
- Icosahedral Group
- Icosahedron
- Icosahedron Stellations
- Icosian Game
- Icosidodecadodecahedron
- Icosidodecahedron
- Icosidodecahedron Stellation
- Icosidodecatruncated Icosidodecahedron
- Icositruncated Dodecadodecahedron
- Ida Surface
- Ideal
- Ideal Number
- Ideal (Partial Order)
- Ideal Point
- Idele