Inversion across a cricle C with center (a,b).
|(i)||leaves unchanged every point of the circle C,|
|(ii)||interchanges the inside and outside of the circle C,|
|(iii)||is a contraction on sets outside the circle C,|
|(iv)||preserves circles S orthogonal to the inverting circle C,|
|(v)||is an involution
(that is, if
|(vi)||takes a circle not passing through
|(vii)||takes a circle passing through
Return to circle inversion fractals.