intersection_sphere_sphere

compas.geometry.intersection_sphere_sphere(sphere1, sphere2)[source]

Computes the intersection of 2 spheres.

Parameters

• sphere1 ([point, float] | compas.geometry.Sphere) – A sphere defined by a point and radius.

• sphere2 ([point, float] | compas.geometry.Sphere) – A sphere defined by a point and radius.

Returns

• {‘point’, ‘circle’, or ‘sphere’} – The type of intersection.

• [float, float, float] | tuple[[float, float, float], float, [float, float, float]] | tuple[[float, float, float], float] – If the type is ‘point’, the coordinates of the point. If the type is ‘circle’, the center point and radius of the circle, and the normal of the plane containing the circle. If the type is ‘sphere’, the center point and radius of the sphere.

Notes

There are 4 cases of sphere-sphere intersection 1:

1. the spheres intersect in a circle,

2. they intersect in a point,

3. they overlap,

4. they do not intersect.

References

1

https://gamedev.stackexchange.com/questions/75756/sphere-sphere-intersection-and-circle-sphere-intersection

Examples

>>> sphere1 = (3.0, 7.0, 4.0), 10.0
>>> sphere2 = (7.0, 4.0, 0.0), 5.0
>>> result = intersection_sphere_sphere(sphere1, sphere2)
>>> if result:
...     case, res = result
...     if case == "circle":
...         center, radius, normal = res
...     elif case == "point":
...         point = res
...     elif case == "sphere":
...         center, radius = res