Welcome, Guest
Username: Password: Remember me

TOPIC: Fractals

Fractals 22 Sep 2014 19:27 #1

  • Cinta
  • Cinta's Avatar
  • Offline
  • Never Again
  • ''None are more hopelessly enslaved,than those who falsely believe they are free
  • Posts: 5333
  • Likes received: 1066

''A fractal is a natural phenomenon or a mathematical set that exhibits a repeating pattern that displays at every scale. If the replication is exactly the same at every scale, it is called a self-similar pattern.[1] Fractals can also be nearly the same at different levels. This latter pattern is illustrated in Figure 1.[2][3][4][5] Fractals also includes the idea of a detailed pattern that repeats itself.[2]:166; 18[3][6]

Fractals are different from other geometric figures because of the way in which
they scale. Doubling the edge lengths of a square scales its area by four, which is
two to the power of two, because a square is two-dimensional. Likewise, if the
radius of a sphere is doubled, its volume scales by eight, which is two to the
power of three, because a sphere is three-dimensional. If a fractal's one-dimensional
lengths are all doubled, the spatial content of the fractal scales by a power of two
that is not necessarily an integer.[2] This ratio is called the fractal dimension of the
fractal, and it usually exceeds the fractal's topological dimension.[7]''

''A fractal is an object or quantity that displays self-similarity, in a somewhat technical
sense, on all scales. The object need not exhibit exactly the same structure at all
scales, but the same "type" of structures must appear on all scales. A plot of the
quantity on a log-log graph versus scale then gives a straight line, whose slope is
said to be the fractal dimension.''

Fractals, at its inception, is based on pure mathematics. Now it has become widespread
and multidisciplinary, and its applications have evolved into many disciplines such
as physics, chemistry, earth and geological sciences, material sciences and engineering,
transport physics (fluid flow, heat transfer, electrical and wave transport) in porous
media, etc. It has been shown that whenever Fractals is applied to the multi-disciplines,
its unique worth can be unravelled and discovered repeatedly.''

This kind of disgusting and disrespectful behaviour is condoned here

ORANGEAID verbal abuse

''Cinta is a whore.
I don't change one word I've said.''

Only registered members can reply. Create an Account to join the discussion.
Moderators: novum, rodin, Flare
Powered by Kunena Forum

Annual Server Target

Whether its 50 cents or five dollars, your donations are appreciated and help keep this community site running so we can all continue to enjoy using it.
This target is to meet our server cost for one year, June 2020 - May 2021, in USD.
$ 340 - Target
( £ 250 GBP )
donation thermometer
donation thermometer
$ 192 - Raised
( £ 140 GBP )
donation thermometer
Most Recent Donation $122 USD
4th January 2021
Bitcoin Address: bc1q0kazqya0nurfxtunxv807vm0m8852nnrrk8mj8
Ethereum Address: 0xe69915c80dd75df19f438d556267e04f932f057d
More Info: Donation options for TZ

No one is obliged to donate, please only donate what you can afford. Even the smallest amount helps. Being an active member is a positive contribution. Thank You.