Topics: InnerFunctions. Please see topics InnerFunctions.

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

In the table s=0.25 is the start value 0.25 of the iteration. Please see math basics.
In the table scale=2.0 is the scale value of the function: scale*f(z,c): 2.0*f(z,c).

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zcMabrot

s=0.0
scale=20.0
blueDouble

s=1.0
scale=1.64
zcSand

s=2.0
scale=1.0
zcLogistic

s=0.5
scale=1.0
zcNova

s=2.0
scale=1.0
Nova

s=0.7616
scale=0.6
\(\mathbf{\bf\: zcMabrot(catan(z);c) }\)
\(\mathbf{\bf\: blueDouble(log(z^2);c) }\)
\(\mathbf{\bf\: zcSand(sinh(z);c^2) }\)
\(\mathbf{\bf\: zcLogistic(sin(z);\frac{1}{c^3}) }\)
\(\mathbf{\bf\: zcNova(z;c^3) }\)
\(\mathbf{\bf\: Nova(atanh(z);c) }\)
Moon

s=0.881373
scale=0.5
zcCanyon

s=0.0
scale=1.0
zcDoubleLens

s=0.0
scale=1.0
zcDumbbell

s=0.0
scale=0.3
zcDumbbell

s=0.0
scale=0.3
zcDumbbell

s=0.3
scale=1.0
\(\mathbf{\bf\: Moon(sinh(z);c) }\)
\(\mathbf{\bf\: zcCanyon(cosh(z);c) }\)
\(\mathbf{\bf\: zcDoubleLens(sin(z);log(c^2))) }\)
\(\mathbf{\bf\: zcDumbbell(cosh(z);c) }\)
\(\mathbf{\bf\: zcDumbbell(cosh(z);c^3) }\)
\(\mathbf{\bf\: zcDumbbell(atan(z);sin(c)) }\)
zcDoubleDivergent

s=-4.0
scale=1.0
zcDoubleDivergent

s=-4.0
scale=1.0
zcDoubleDivergent

s=-4.0
scale=1.0
zcDoubleFerguson

s=-4.0
scale=1.0
zcSand

s=2.0
scale=1.0
zcTriple

s=1.889882
scale=1.0
\(\mathbf{\bf\: zcDoubleDivergent(z^2;c) }\)
\(\mathbf{\bf\: zcDoubleDivergent(z^3;c) }\)
\(\mathbf{\bf\: zcDoubleDivergent(\frac{1}{z};c) }\)
\(\mathbf{\bf\: zcDoubleFerguson(cosh(z);c) }\)
\(\mathbf{\bf\: zcSand(exp(z);log(c)) }\)
\(\mathbf{\bf\: zcTriple(sinh(z);asinh(c)) }\)