Topics: Identity Extended. Please see topics Identity Extended.

It is assumed that terms like mabrot, nova, zcLogisticMap, disc, zcSand are known from this website.

A used function: ipzc2(z,c)=(z^1/c)^c

Clicking on the thumbnail image, a large version is shown.
mabrot

s=0.0
nova

s=1.0
amoeba

s=1.0
zcLogistic

s=0.5
disc

s=0.249962
disc

s=0.249962
\(\mathbf{\bf\: a(mabrot+1.0)+c}\)
\(\mathbf{\bf\: a(nova+1.0)+c}\)
\(\mathbf{\bf\: a(amoeba+4.0)+c}\)
\(\mathbf{\bf\: log(exp(zcLogistic+0.1))+c}\)
\(\mathbf{\bf\: atan(tan(disc+1.0))+c}\)
\(\mathbf{\bf\: atanh(tanh(disc+1.0))+c}\)
mabrot

s=0.0
nova

s=0.0
zcLogistic

s=0.5
moon

s=1.0
zcMabrot

s=0.0
blueDouble

s=0.0
\(\mathbf{\bf\: ipzc2(mabrot+1.0)+c}\)
\(\mathbf{\bf\: ipzc2(nova-1.0)+c}\)
\(\mathbf{\bf\: ipzc2(zcLogistic+1.0)+c}\)
\(\mathbf{\bf\: asinh(sinh(moon+3.0))+c}\)
\(\mathbf{\bf\: acosh(cosh(zcMabrot+1.0))+c}\)
\(\mathbf{\bf\: log(exp(blueDouble-1.0))+c}\)
bigFoot

s=0.0
bigFoot

s=0.0
blueDouble

s=0.0
c*nova

s=0.0
c*blueDouble

s=0.0
desertMabrot

s=0.0
\(\mathbf{\bf\: log(exp(bigfoot+1.0))+c}\)
\(\mathbf{\bf\: atan(tan(bigfoot+3.0))+c}\)
\(\mathbf{\bf\: atan(tan(blueDouble+5.0))+c}\)
\(\mathbf{\bf\: asec(sec(c*nova+1.0))+c}\)
\(\mathbf{\bf\: acsc(csc(c*blueDouble+1.0))+c}\)
\(\mathbf{\bf\: acot(cot(desertMabrot+2.0))+c}\)