# Conjugate

Robert P. Munafo, 2023 Apr 17.

The "conjugate" of a complex number has the same real and imaginary components, except that the sign of the imaginary component is reversed.

The Mandelbrot set is symmetrical around the real axis in such a way that every point has the same dwell as its conjugate, and if a point is a member then its conjugate is also. Thus, every feature including islands and filaments appear in conjugate pairs.

From the Mandelbrot Set Glossary and Encyclopedia, by Robert Munafo, (c) 1987-2024.

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