This research builds upon our previous work on efficient algorithms for calculating and visualizing fractal structures associated with zeta functions, shifting the focus from two-dimensional to three-dimensional structures. Specifically, we introduce Zetabulbs – a class of Mandelbulbs (three-dimensional analogues of Mandelbrot sets) derived from the zeta functions. The visualization of Mandelbulbs poses substantial computational and algorithmic challenges, while also carrying practical relevance in areas such as digital visual effects, where Mandelbulb-based structures have been used in the production of high-budget films. By introducing Zetabulbs, we expand the landscape of zeta-function–driven fractal geometry and open new opportunities for its application in both artistic visualization and scientific exploration.