# Board Inversion

Board Inversion

Inversion is defined by , where and are the center and radius of a circle and is the exponent of inversion. Usually , in which case angles are preserved and lines and circles are mapped to lines or circles. In general, the mapping interchanges points inside and outside the circle of inversion.

z↦c+(z-c)

a

r

|z-c|

c

r

a

a=2