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.