## Magnet 1 fractals

These fractals use formulae derived from the study of hierarchical
lattices, in the context of magnetic renormalisation transformations. This is
useful in an area of theoretical physics that deals with magnetic
phase-transitions. In an attempt to clarify the results obtained for real
temperatures, the study moved from real to complex numbers, aiming to spot real
phase-transitions by finding the intersections of lines representing complex
phase-transitions with the real axis. The first people to try this were the
two physicists Yang and Lee, who found the situation a bit more complex than
first expected, as the phase boundaries for complex temperatures are fractals.
The "Magnet 1" fractals, shown on this page, use the equation: