are curves which can be generated from other curves.
For example, if your original curve is a sine wave, you can generate another
curve by choosing some arbitrary point P, say (0, 10) and then for every point Q
on the sine wave, create a new point halfway between Q and P. Fun stuff !
There's a family of more significant Associated Curves,
such as the Pedal, the Inverse, the Evolute, the Inverse Pedal, and a few others.
ZokZok is a little program i wrote when interested in these curves
which lets you play with them. It's pretty fun. It's written
in Borland, but static-linked, so it should run on just about any computer.
zokzok.zip 343KB - source code included (bcb)