This section offers you a series of predefined formulas in two different categories. Each category contains several types. Choosing a type will generate the curve immediately in the scene. For more information about curves and formulas please check the following sites:
www.3d-xplormath.org 
www.virtualmathmuseum.org

Plane Curves:
Mathcurve creates curve in 3-d space. By setting the z argument of parametric presentation we achieve a new category of space curves called Plane curves. There are some predefined formula under this category.

Archimedean Spiral
Astroid
Catenary
Circle
Cissoid
Conchoid of Nicomedes
Convex
Deltoid
Ellipse
Epizykloide
Folium
Hyperbola
Lemniskate
Limacon
Lissajous
Logarithmic spiral
Nephroid
Nephroid Of Freeth
Parabola
Sine Curve
Tractrix
Zykloide

Space Curves:
Mathcurves includes a series of space curves :

Cinquefoil Knot
Constant Curvature
Constant Torsion
Figure 8Knot
Granny Knot
Helix
Loxodrome
Spherical Cycloid
Cycloid Parametric
Square Knot
Torus Knot
Kappa Tau