Precondition

Be sure to know the basic math: Math Home

Introduction: Identity Functions

If h(x) with inverse hInv(x) is a bijective function (one-to-one), define the identity function I(x) = hInv( h(x) ).
Because hInv is the inverse of h: I(x) = hInv(h(x)) = x; I(x) = x.

Examples for Identity Functions I(x)

Identity Functions and Fractals

E.g. the generation function for the nova set is nova(z,c) = z + 1/z + c.
Generated is a sequence dependent on z, with a "disturbing parameter" c.
Transforming nova(z,c) with an identity function I(x) there are four possibilites:

Example Images

Please find example images in: Identity Images