Mandelbrot set (mathematics)

The Mandelbrot set was a famous fractal and was considered the "most complex and beautiful object in mathematics" according to the Eighth Doctor. It was named after Benoit Mandelbrot. (PROSE: The Deadstone Memorial)

Hamlet Macbeth tried to catch Skeptics who made Mandelbrot-shaped crop circles in Yorkshire. (PROSE: The Left-Handed Hummingbird)

A Mandelbrot set was one of the glyphs on the temple of Yemaya 4. (PROSE: SLEEPY)

The pattern of the Mandelbrot set was associated with chaos. (PROSE: Seeing I) Patterns of smoke, (PROSE: Transit) pockets of turbulence, (PROSE: The Also People) and mimetic gel were all compared the the Mandelbrot set. (PROSE: Return to the Fractured Planet)

In Virtuality headsets, neural feedback interacted with the Mandelbrot sets of the computer. (PROSE: Iceberg)

When Ace saw time the way the Doctor saw time, it was like a "Mandelbrot set with his name on it." (PROSE: Set Piece)

Bernice Summerfield once saw microbots form a perfect Mandelbrot Set which "unfold[ed] with fractal complexity". (PROSE: Another Girl, Another Planet)

The Famished One hovered before Iris Wildthyme like an enormous Mandelbrot. (PROSE: Annabel Regina)

A gargoyle-like creature exploded and left behind a Mandelbrot pattern of soot and tarmac. (PROSE: Child of Time)

Namesakes
The Mandelbrot Sett was a pirate ship crewed by badger pirates. The Tenth Doctor noted it was a pun on the Mandelbrot set and badger setts. (PROSE: The Pirate Loop)

The Mandelbrot Set were the masters of Cathedral. (PROSE: Falls the Shadow)

Mandelbrots, which looked like turtles, were attracted to the temporal cicatrix in San Francisco in 2002. (PROSE: Unnatural History)