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Ziyaretçi defteri
 

Minkowski Sausage

 
MinkowskiSausage
MinkowskiMotif

A fractal curve created from the base curve and motif illustrated above (Lauwerier 1991, p. 37).

MinkowskiSausageLengths

As illustrated above, the number of segments after the nth iteration is

 N_n=4·3^n,
(1)

and the length of each segment is given by

 epsilon_n=(1/(sqrt(5)))^n,
(2)

so the capacity dimension is

D = -lim_(n->infty)(lnN_n)/(lnepsilon_n)
(3)
= (2ln3)/(ln5)
(4)
= log_59
(5)
 approx 1.36521
(6)

(Mandelbrot 1983, p. 48).

The term Minkowski sausage is also used to refer to the Minkowski cover of a curve.

 

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