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
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Return to circle inversion fractals.