4 problems

Repelling 45-lines conjecture. On the $45$-lines $h_{19}$ is repelling and, hence, $\{X=0\}$ resides in the Julia set $J_{h_{19}}$.

Let $f_{6}$ be the map under discussion on ${\mathbf{CP}^{3}}$, and let the $5$-point orbit denote the orbit of the $5$-points. The basins of an attracting orbit are the sets of po…

Let $h_{11}$ be the map under discussion, and let ${\mathcal R}$ be the ${\mathcal S}_{5}$-symmetric real projective subspace ${\mathbf{RP}^{3}}$ preserved by $h_{11}$. The Julia s…

Let $h_{11}$ be the map under discussion on ${\mathbf{CP}^{3}}$, and let the $20$-point orbit denote the orbit of the octahedral $20$-points. A basin is the set of points whose ite…