Rational Ship Geode

A rational Burning Ship, w = |Re z| + i|Im z| and z -> w^2 + c + d/w with d = 0.10, iterated over the parameter plane and seeded at the critical point (d/2)^(1/3), since the origin is now the pole. The pole is what punches cavities clean through the hull. Amethyst rides the depth of each well rather than the escape count, one shared band phase drives both hue and luminance so the smooth count reads as agate rings, and the turquoise glints are a minimum-|z| trap.