5.1.2 Box

The syntax of the box object is:

BOX:
  box { CORNER1, CORNER2 [BOX_MODIFIERS] }

BOX_MODIFIERS:
 [UV_MAPPING] & [OBJECT_MODIFIERS]

Figure: Boxes

See also:

• [pov:6.5.1.2]Box
• [pov:3.2.1]Box Object
• www.f-lohmueller.de/.../box1e.htm
• blobs.asp.html

The object described is a cube with sides (of possibly different length) parallel to the axes and two opposite vertices CORNER1(=c) and CORNER2(=d):

$$\{\langle x_1,x_2,x_3 \rangle: x_1\in \overline{c_1d_1},\; x_2\in \overline{c_2d_2},\;x_3\in\overline{c_3d_3}\},$$

where $\overline{c_id_i}$ is the segment $\{(1-t)\,c_i+t\,d_i:0\leq t\leq 1\}$ from $c_i$ to $d_i$.

Again

box { c1, c2 } = box { 0, 1 scale c2-c1 translate c1 }

In order to depict a box with sides being not parallel to the axes we have to apply some rotation to a box as above:

	box { c1, c2 rotate v }