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.
Diffusion Sphere, Diffusion Dyson - Text by M. Alan Kazlev Type III Dyson Sphere that uses magmatter cabling, dynamic support structures, and fractaform architecture to allow maximal habitat around a host star. The sphere acts as a scaffold for habitats and computronium banks. Requires high transapient technology, and hence is more difficult to construct than the Type I dyson. There are three in Keterist space, two in the Solar Dominion, and three in the MPA. See also Diffusion Disk.
Dyson Node - Text by M. Alan Kazlev A dyson sphere made mostly of computronium and dedicated to processing needs, as submind of a larger archailect. Such megastructures (such as linked Jupiter brains) are part of a larger archailect; connected via interstellar wormhole buses to other nodes. Generally there will be shells concerned with non-processing functions (manufacturing, maintenance, defence, wormhole bus control system) as well.
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.