WOLFRAM NOTEBOOK

WOLFRAM|DEMONSTRATIONS PROJECT

Tetration

​
view
density
contour
plot 3D
f
Re
Im
Abs
Arg
n
2
3
4
5
∞
points
15
Tetration (or a power tower) is iterated exponentiation, defined as
n
z=
z
.
.
.
z
z
︸
n
,
where
z
is a complex number. It was first introduced by Reuben Louis Goodstein. The image above shows three views of
f(
n
z
) for four different choices of
f
.
Wolfram Cloud

You are using a browser not supported by the Wolfram Cloud

Supported browsers include recent versions of Chrome, Edge, Firefox and Safari.


I understand and wish to continue anyway »

You are using a browser not supported by the Wolfram Cloud. Supported browsers include recent versions of Chrome, Edge, Firefox and Safari.