Functional Gears - Making identical pairs

[dbedwards]

Is there a good method for making two identical gears with the functional gears tool?

I can adjust vertices to make shapes appear similar, but not close enough to call identical. Is there any better option? Here's some of my imperfectly matching shapes.

A square with rounded corners:
0,1
45,1.35
90,1
135,1.35
180,1
225,1.35
270,1
315,1.35

A triangular shape:
0,1
25,.65
60,.4
95,.65
120,1
145,.65
180,.4
215,.65
240,1
265,.65
300,.4
335,.65

An egg shape:
0,.5
90,.7
155,1.9
205,1.9
270,.7

[ArtF]

Hi:

  Due to the way the functional algorithm selects its center, I suspect getting identical is hard. Not impossible, but hard. Cant say I can think of an easy way other than perhaps a symmetrical formula.. they may not be identical though, but mirror images of each other..

Art

[ArtF]

By the way, when I say symmetrical formula I mean something with 180 degree symmetry, that should force as close to the same as you can get..

Art