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| Mandelbrot
set of the Morosawa- Pilgrim Family |
Details
at the left and right end; Mandelbrot sets for the cubic and sextic family |
Finite attracting
fix-domain, infinitely connected |
Cantor dust Julia
set |
Basin at infinity with one cut point |
Basin at infinity with one cut point |
| Basin at infinity with infinitely many cut points |
Sierpinski curve Julia set |
Sierpinski curve Julia set | Sierpinski curve Julia set | Sierpinski curve Julia set | Sierpinski curve Julia set |
| Basin at infinity with infinitely many cut points |
Attracting 4-cycle (first kind)
Basin at infinity with one cut point |
Attracting 4-cycle (first kind) Basin at infinity with infinitely many cut points |
Attracting 4- cycle (first kind) Sierpinski curve Julia set? |
Attracting 4-cycle (first kind) Sierpinski curve Julia set? |
Attracting 4-cycle (first kind) Sierpinski curve Julia set? |
| Attracting 4- cycle (first kind)
Sierpinski curve Julia set? |
Attracting 4-cycle (first kind) Basin at infinity with infinitely many cut points | Attracting 4-cycle (first kind) Basin at infinity with infinitely many cut points | Attracting 4-cycle (second kind) Basin at infinity with one cut point | Attracting 4-cycle (second kind) Basin at infinity with one cut point | Attracting 4-cycle (second kind) Basin at infinity with infinitely many cut points |
| Attracting 4-cycle (second kind) Basin at infinity a Jordan domain | Attracting 4-cycle (second kind) Basin at infinity a Jordan domain | Attracting 4-cycle (second kind) Basin at infinity a Jordan domain | Attracting 4-cycle (second kind) Basin at infinity a Jordan domain | Attracting 4-cycle (second kind) Basin at infinity with infinitely many cut points | Dynamical plane of Q_3 |
| Dynamical plane of Q_8 | Dynamical plane of Q_13 | Dynamical plane of Q_18 | Dynamical plane of Q_23 | Dynamical plane of Q_28 | Dynamical plane of Q_33 |