Bertbaron's jewellery location — a deep-zoom site where 4-fold diamond symmetry emerges at 10²⁰× magnification.
Discovered and popularised by Bert Baron's open-source Mandelbrot explorer, this site at c ≈ 0.370624 − 0.670428i is the address of a spectacular four-fold diamond cross pattern visible only at zoom depths around 1.22 × 10²⁰ — far beyond ordinary float-64 rendering. The jewellery palette cycles through vivid blues, golds, and magentas, making the nested diamond arms look like gemstone facets. Because our viewer uses 64-bit floating-point arithmetic (precise to roughly 10¹³×), this entry shows the outer approach region around the same address; the full diamond requires extended-precision (bignum) arithmetic as used in Bert Baron's original explorer.
Real axis (Re)
0.370624233423
Imaginary axis (Im)
-0.670428331878i
Zoom
5.00K×
Max iterations
1,500
Complex address
This location lies in the boundary region of the Mandelbrot set, defined by iterating starting from . A point belongs to the set if the orbit never exceeds .
At zoom , each screen pixel represents a region of the complex plane roughly wide — smaller than most atoms on a real object of the same size.
The iteration depth of 1500 means the algorithm checks up to 1,500 times before declaring a point interior (black). Higher values reveal finer boundary detail but require more computation.
A classic Mandelbrot region filled with curling seahorse-like spirals.
Mandelbrot SetMassive elephant-trunk filaments wind through the boundary in repeating arcs.
Mandelbrot SetA perfect miniature copy of the entire Mandelbrot set, floating in the deep.
Mandelbrot SetA dense spiral basin where bifurcating arms fold into one another.
This is just one of thousands of unique views. Open the interactive explorer and find your own.
