5.1.5 Cone

The syntax of the cone object is:

CONE:
  cone { BASE_CENTER, BASE_RADIUS, CAP_CENTER, CAP_RADIUS [open] 
    [OBJECT_MODIFIERS] }

See also:

• [pov:6.5.1.3]Cone
• [pov:3.2.2]Cone Object
• www.f-lohmueller.de/.../cone1e.htm

This describes a circular cone orthogonal to the axes from BASE_CENTER (=V0) with radius BASE_RADIUS (=R0) to the CAP_CENTER (=V1) with radius CAP_RADIUS (=R1), e.g.

$$\verb'cone' \{ 0, R0, y, R1 \} = \{\langle X,Y,Z\rangle:X^2+Z^2\leq (R0+Z\,(R1-R0))^2,\,0\leq Y\leq 1\}$$

Figure: Cones

A cylinder is the special case of the cone where the two radii are equal.