Tricorn Fractal

Graphics by Paul Bourke
April 2025


The tricorn fractal, also known as the mandelbar set, has the same iteration formula as the Mandelbrot except the complex conjugate is used. Namely


Centered at (-0.4,0), magnificiation 0.5


Centered at (-1.25,0),magnification 4


Centered at (-1.756,0), magnification of 25


Centered at (-1.9412,0), magnification of 300


Centered at (-0.85,0.145), magnification of 30

On can also adjust the power term, from 2 in the standard tricorn to another value. These are generally called "multicorn" fractals.


Power: 3, Centered at (0,0), magnification 0.85


Power: 3, Centered at (0.8,-0.8),magnification 4


Power: 8


Power: 4, Centered at (0,0), magnification 0.75


Power: 8, Centered at (0,0), magnification 0.8


Power: 20


Power: 8