Board Inversion

size of checker board

4

exponent of inversion

-1.61068

resolution

1

radius of inversion

0.5

plot range

Automatic

All

1

2

grid

Inversion is defined by

z↦c+

a

r

|z-c|

(z-c)

, where

c

and

r

are the center and radius of a circle and

a

is the exponent of inversion. Usually

a=2

, 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.