Arrowhead-Shaped Mandelbrot Fractal

zn+1 = tan(zn2+zc)
(* runtime: 5 minutes *)
Mandelbrot[zc_] := Length[FixedPointList[f[#, zc] &, 0, 100, SameTest -> (Abs[#] > 2 &)]];
f[z_, zc_] := Tan[z^2 + zc];
DensityPlot[Log[Mandelbrot[xc + I yc]], {xc, 0.2, 3.3}, {yc, -1.55, 1.55}, PlotPoints -> 275, Mesh -> False, Frame -> False];


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