Torus

```
public class Torus
extends java.lang.Object
```
Let the radius from the center of the hole to the center of the torus tube be R, and the radius of the tube be r. Then the equation in Cartesian coordinates for a torus azimuthally symmetric about the z-axis is (R - sqrt(x^2+y^2))^2 + z^2 = r^2 and the parametric equations are x = (R + rcos(v)) cos(u) y = (R + rsin(v)) sin(u) z = rsin(v) for u, v in [0, 2PI[ The three different classes of standard tori correspond to the three possible relative sizes of r and R. When R > r, the surface will be the familiar ring torus. The case R = r corresponds to the horn torus, which in effect is a torus with no "hole". The case R < r describes the self-intersecting spindle torus. When R = 0, the torus degenerates to the sphere.

Constructors
Constructor and Description
`Torus(Point center, Vector normal, double majorRadius, double minorRadius)`

All Methods Instance Methods Concrete Methods
Modifier and Type	Method and Description
`boolean`	`contains(Point q)` Returns TRUE if point q is in the interior of the torus
`Point`	`getCenter()`
`Point[]`	`getIntersectionCircle(Circle C)` Find up to four intersection points with circle C(p,n).
`Circle`	`getMainCircle()`
`Plane`	`getMainPlane()`
`double`	`getMajorRadius()`
`double`	`getMinorRadius()`
`Vector`	`getNormal()`
`Circle`	`getPoloidalCircle()`
`double`	`getSurfaceArea()`
`Circle`	`getSweepingCircle()`
`Sphere`	`getSweepingSphere()`
`Circle`	`getToroidalCircle()`
`Circle[]`	`getVillarceauCircles()` Two circles of major radius R, tilted to the center plane by slopes of r/R and -r/R and offset from the center by minor radius distance r
`double`	`getVolume()`

Methods inherited from class java.lang.Object
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

public Torus(Point center,
             Vector normal,
             double majorRadius,
             double minorRadius)

Class Torus