What is the Dimension of This Cellular Fractal?

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Nice...isn't it ?
http://www.angelfire.com/pro/fbi/fractcell.bmp

Generated with life32, rule V:s01234/b13 and one original cell...generation 440...zoom 1/2...
 
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Mathematics news on Phys.org
Erm... the link is broken for me.
 
john conway's game if I am not mistaken.
 
The page you are looking for has spontaneously combusted.
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--EDIT-- Ok its wierd..sometimes its broken..but it just worked for me..here..I uploaded it to my account..Voila
http://home.attbi.com/~dav2008/images/fractcel.JPG
 
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The dimension of this fractal may be estimated by using the equation N=CrD, where N=number of fundamental units of replication, C is a constant, r is the radius of a "sampling circle," and D is the dimension of the fractal. For this fractal, a factor of three radii increases the fundamental units bounded by the circle by approximately five, yielding N=5=3D, and a dimension of approximately 1.46. (Scientific American.)
 
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Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
Thread 'Imaginary Pythagorus'
I posted this in the Lame Math thread, but it's got me thinking. Is there any validity to this? Or is it really just a mathematical trick? Naively, I see that i2 + plus 12 does equal zero2. But does this have a meaning? I know one can treat the imaginary number line as just another axis like the reals, but does that mean this does represent a triangle in the complex plane with a hypotenuse of length zero? Ibix offered a rendering of the diagram using what I assume is matrix* notation...

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