Fractal

A fractal is a natural phenomenon or a mathematical set that exhibits a repeating pattern that displays at every scale. It is also known as expanding symmetry or evolving symmetry. If the replication is exactly the same at every scale, it is called a self-similar pattern. An example of this is the Menger Sponge. Fractals can also be nearly the same at different levels. This latter pattern is illustrated in the magnifications of the Mandelbrot set. Fractals also include the idea of a detailed pattern that repeats itself.

Fractals are different from other geometric figures because of the way in which they scale. Doubling the edge lengths of a polygon multiplies its area by four, which is two (the ratio of the new to the old side length) raised to the power of two (the dimension of the space the polygon resides in). Likewise, if the radius of a sphere is doubled, its volume scales by eight, which is two (the ratio of the new to the old radius) to the power of three (the dimension that the sphere resides in). But if a fractal's one-dimensional lengths are all doubled, the spatial content of the fractal scales by a power that is not necessarily an integer. This power is called the fractal dimension of the fractal, and it usually exceeds the fractal's topological dimension.

Fractal (EP)

Fractal is a digital-only EP by Swedish metal band Skyfire. It was made available for digital download on 6 July 2009. The EP contains four songs, which were recorded between the release of Spectral in 2004 and their album Esoteric released in September 2009. The EP features the debut of two new members: guitarist Johan Reinholdz and Joakim Karlsson. It contains three tracks independent of the full-length and the self-titled track from their album. This track was previewed on their official MySpace page and was made available for download.

Track listing

Personnel

Band members

Production

Fractal (disambiguation)

A fractal is a mathematical set that has a fractal dimension that usually exceeds its topological dimension and may fall between the integers. There is also a fractal derivative, defined in fractal spacetime.

Fractal or Fractals may also refer to:

Bleeding (disambiguation)

Bleeding usually means the loss of blood from the body.

Bleeding, bleed or bleeder may also refer to:

Entertainment

Catalepsy (band)

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Catalepsy is an American deathcore band formed in 2004. To date they have had three releases - one EP, Godless, and two studio albums, Iniquity and Bleed.

History

Catalepsy was founded in 2004. Originally formed as a thrash/metalcore three-piece. Went on hiatus from May 2006 to August 2006; Catalepsy came back with more of a deathcore sound. Catalepsy entered the studio in September and recorded two demo songs. In 2008, the band finished a tour with Hatebreed for their Live Dominance DVD release. They completed their first studio album, Iniquity, in January 2008. The album was released on May 13, 2008. In early 2008, the band recorded a music video for their song "Trust". It premiered on MTV's Headbangers Ball. In late 2008, Drew Carothers left the band due to personal issues. He was replaced with Josh Anderson of the Florida band Iamdivide. The band continued to tour, with such bands as After the Burial, Oceano, Too Pure to Die, Waking the Cadaver, Rose Funeral and many others.

Bleed (Soulfly song)

"Bleed" is the third single by metal band Soulfly, released in 1998 from the self-titled album Soulfly. Limp Bizkit guest members Fred Durst and DJ Lethal sing this song about pain, lying and madness with lyrics written by Durst and Max Cavalera. This song tributes Cavalera for the untimely death of his stepson Dana.

"Bleed" has the first music video released by Soulfly. Scenes include a fight including strangling, guest singer Durst jumped, and driving with shattered windshield on the driver side of a car.

Track listing

Maxi-single

Promo CD

Personnel

References