Circle Inversion Fractals
Properties of Inversion
If (x',y') is the inverse across C of (x,y), we have
dist((a,b), (x,y))*dist((a,b), (x',y')) = r2.
Then
dist((a,b), (x',y'))*dist((a,b), (x,y)) = r2.
so (x,y) is the inverse across C of (x',y').
Consequently,
(x,y) inverts to (x',y')
inverts to (x,y).
Return to properties of inversion.