Saunders Digit Graphics

function

Csc

complex component

Re

Im

Abs

Arg

base

digit

domain size

plot points

This demonstrates Saunders plots of trigonometric and inverse trigonometric functions. Given a function

f

at a complex number

z

, the real part, imaginary part, absolute value, or argument of

f(z)

can be expressed in base

b

as

∞

∑

j=k

(b)

a

j

-j

b

. A Saunders graphic shows the chosen digit

(b)

a

j

encoded in the colors of squares centered at the corresponding complex

z

-values.