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It is defined in spherical coordinates as:
fr=abs(sin(t*pi/2*cos(theta)) / (t*sin(pi/2*cos(theta))))
where t = 5.
Notice that if t=1 this long expression reduces to +1, giving a sphere of
radius 1 in the graph.
Animation reveals how the lobes evolve as t changes from 1 to 5.
Passing Through a Torus (Through)
This examples shows a horn passing through a torus. We present it
because it involves two separate tricks for generating such animations.
The first is in using two layers to draw the torus. The second is how the
horn is made to move through the torus.
Drawing a
Torus
Writing down a formula that maps a rectangular domain onto a torus
can be an interesting, though tedious, exercise. Using two layers makes
it simple.
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