. , .. , , . 1. , , , 1 . , , ..
2 , . , . ( ).
, : ( ) (2^1).
(, ) (2^2).
3 (2^3) .
, D S L. D=log(S)/log(L). D=log(2)/log(2)=1. D=log(4)/log(2)=2. D=log(8)/log(2)=3.
. , , 9 . , 3 9 D=log(9)/log(3)=2 .
() .
. . : , . , . . , .
. . ( , , ).
.
.
.
. . 4 1/3 . , . . , .
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( 3 4 ) D=log(4)/log(3)=1.2619...
LSystems. , , .
. , , . . () Zn+1=f(Zn), Z , f . . . :
− .
− 0
− .
− , .
.
.
. , , a+bi. a , bi . i , , i , 1.
, , , , , . , a, Y b.
Zn+1=Zn*Zn+C. .
For a=2 to 2 ' 2 2For b=2 to 2 ' b 2 2=a+biZ0=0+0i' Lake=True ' 255 ( 256 )For iteration=1 to 255Zn=Z0*Z0+C' If abs(Zn)>2 then Lake=False: Exit For Z0=ZnNext' , "" .If Lake=True Then PutPixel(a,b,BLACK) ' .Else PutPixel(a, b, iteration) NextNext. 2+2i 2+2i Zn=Z0*Z0+C, Zn. 2, 2, . .
, . . . . .
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, . , =a+bi Z0=a+bi, , .
.
.
.
. . . , , , , . . , , , .
(IFS Iterated Function Systems)
. . , Iterated Systems, Images Incorporated, FIF.
. JPEG, . , . . , , .
Lsystems ( ) , IFS (, , ) , . , .
. . , . ( : ).
logistic equation x=c*x(1x). , .. . . 1 3, .
=3 , .
=3.45 .
: =3.54, =3.564, =3.569...
3.57 . . .
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