For f(z)=sum_{k=0}^{p-1} exp(omega_p^k z), p>=3, the Julia set is a spider's web containing a Cantor bouquet, with the hair curves minus endpoints in the fast escaping set.
Blanchard, Complex analytic dynamics on the Riemann sphere, Bull
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Cantor Bouquets in Spiders' Webs
For f(z)=sum_{k=0}^{p-1} exp(omega_p^k z), p>=3, the Julia set is a spider's web containing a Cantor bouquet, with the hair curves minus endpoints in the fast escaping set.