Type of Dyson Sphere using a fractaform surface to get as much habitable area as possible, thereby maximizing return on investment. Habitats and stellar power collection surfaces of a wide range of sizes are supported around a star using dynamic orbital rings. Because fractal dysons are efficient at collecting stellar energy, they also need to radiate considerable amounts of waste heat, and the fractal architecture is useful for that purpose as well.
There are several Fractal Dysons under construction in the MPA, including Apollonius Dyson and Julia Dyson.
Fractal - Text by M. Alan Kazlev An object with a fractal dimension. Fractals are self-similar and recursive; they may be deterministic or stochastic (random). They are important in creating rl-like virch-universes and simulations with only a relatively limited degree of processing. Many phenomena in nature have a fractal form - e.g. clouds, geographical features (coastlines, mountains, etc), snowflakes, plants, metabolic rhythms (e.g. heartbeat), economic cycles, and so on. Well-known fractals include the Cantor Set, Julia Set, and Mandelbrot Set.
Fractal Dimension - Text by M. Alan Kazlev A fractional or non-integer dimension. A fractal may be more than a line (1 dimension) but less than a plane (2 dimensions), or alternatively more than a plane but less than a sphere (3 dimensions). Hence fractal dimensions are defined in terms of decimal or fractional numbers. There are a number of ways of computing a fractal dimension, including some unusual but popular algorithms employed by transingularitan intelligences.