Modelers sometimes prefer to work with implicit functions/surfaces, using an equation like x2 + y2 = r2 rather than explicit ones like y = sqrt(r2 - x2). But implicit functions are harder to draw, and one way to view them is to use particles that evaluate the implicit equation, and use the temperature of the surface and repulsion from other particles to move around. Their resulting configuration is often a good visualization of the surface.

Figure 1: Sphere

Other models

Back to