ParametricSuperToroid

ParametricSuperToroid(ringradius=None, crosssectionradius=None, xradius=None, yradius=None, zradius=None, n1=None, n2=None, **kwargs)

Generate a supertoroid.

ParametricSuperToroid generates a supertoroid. Essentially a supertoroid is a torus with the sine and cosine terms raised to a power. A supertoroid is a versatile primitive that is controlled by four parameters r0, r1, n1 and n2. r0, r1 determine the type of torus whilst the value of n1 determines the shape of the torus ring and n2 determines the shape of the cross section of the ring. It is the different values of these powers which give rise to a family of 3D shapes that are all basically toroidal in shape.

Parameters

ringradiusfloat, optional

The radius from the center to the middle of the ring of the supertoroid. Default is 1.

crosssectionradiusfloat, optional

The radius of the cross section of ring of the supertoroid. Default = 0.5.

xradiusfloat, optional

The scaling factor for the x-axis. Default is 1.

yradiusfloat, optional

The scaling factor for the y-axis. Default is 1.

zradiusfloat, optional

The scaling factor for the z-axis. Default is 1.

n1float, optional

The shape of the torus ring. Default is 1.

n2float, optional

The shape of the cross section of the ring. Default is 1.

**kwargsdict, optional

See surface_from_para() for additional keyword arguments.

Returns

pyvista.PolyData

ParametricSuperToroid surface.

Examples

Create a ParametricSuperToroid mesh.

>>> import pyvista
>>> mesh = pyvista.ParametricSuperToroid()
>>> mesh.plot(color='w', smooth_shading=True)