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fractal

## fractal

```  2  definitions  found

From  WordNet  r  1.6  [wn]:

fractal
n  :  a  geometric  pattern  that  is  repeated  at  every  scale  and  so
cannot  be  represented  by  classical  geometry

From  The  Free  On-line  Dictionary  of  Computing  (13  Mar  01)  [foldoc]:

fractal

A  fractal  is  a  rough  or  fragmented
geometric  shape  that  can  be  subdivided  in  parts  each  of  which
is  (at  least  approximately)  a  smaller  copy  of  the  whole.
Fractals  are  generally  self-similar  (bits  look  like  the  whole)
and  independent  of  scale  (they  look  similar,  no  matter  how
close  you  zoom  in).

Many  mathematical  structures  are  fractals;  e.g.  {Sierpinski
triangle},  {Koch  snowflake},  {Peano  curve},  {Mandelbrot  set}
and  {Lorenz  attractor}.  Fractals  also  describe  many
real-world  objects  that  do  not  have  simple  geometric  shapes,
such  as  clouds,  mountains,  turbulence,  and  coastlines.

{Benoit  Mandelbrot},  the  discoverer  of  the  {Mandelbrot  set},
coined  the  term  fractal"  in  1975  from  the  Latin  fractus  or
"to  break".  He  defines  a  fractal  as  a  set  for  which  the
{Hausdorff  Besicovich  dimension}  strictly  exceeds  the
{topological  dimension}.  However,  he  is  not  satisfied  with
this  definition  as  it  excludes  sets  one  would  consider
fractals.

{sci.fractals  FAQ
(ftp://src.doc.ic.ac.uk/usenet/usenet-by-group/sci.fractals/)}.

See  also  {fractal  compression},  {fractal  dimension},  {Iterated
Function  System}.

{Usenet}  newsgroups:  {news:sci.fractals},
{news:alt.binaries.pictures.fractals},  {news:comp.graphics}.

["The  Fractal  Geometry  of  Nature",  Benoit  Mandelbrot].

[Are  there  non-self-similar  fractals?]

(1997-07-02)

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