
10.9. Boolean modeling 415
Figure 10.43: (a) OR-ing a sphere and cylinder, exp r es s ed in Boolean algebra S + C.
(b) AND-ing a sphere and cylinder, Boolean notation: S · C. (c) The result of the
Boolean expression S
¯
C. We can think of this as subtracting a cylinder from a sphere.
Notice that the cylinder, which is not visible, appears to cut a hole in the sphere.
mesh of facets to cover such a su r face. However since this shape is just another
manifestation of S + C if there was an automatic way to go from the meshes for
S and C to one for S + C a very useful modelin g procedure would result.
Incidentally: To generate an image of the