5.3.1 Plane

The syntax of the plane object is:

PLANE:
  plane { NORMAL, DISTANCE [OBJECT_MODIFIERS] }

See also:

• [pov:6.5.3.1]Plane
• [pov:3.2.4]Plane Object
• www.f-lohmueller.de/.../plane1e.htm

This describes the plane (or better half-space) with surface normal NORMAL $=\langle a_1,a_2,a_3\rangle$ and (signed) distance DISTANCE($=d$) from 0 given by

$$\{\langle X,Y,Z\rangle:a_1\cdot X+a_2\cdot Y+a_3\cdot Z\leq d \}.$$