Gebroken dimensies in het graan Geknipt uit een presentatie door Aad Goddijn op 3 december 2008 bij het vak Concrete meetkunde.
28 juli 1996, Windmill Hill
“So, how do you measure fractal dimension?” "That gets complicated," she said. "Think of it this way. If you examined that coastline from a satellite, it would look like a relatively straight line. The closer you get, the more detail you see, and this adds to the length of the line. Fractal dimension measures the rate at which the length of the line appears to increase - the rate at which new detail appears." "And some guy named Hausdorff came up with a way of measuring this?“ “Very good" she said, "you've done your homework. “
Lineaire vergroting: 3 keer Maat-vergroting 9 keer, want 9 = keer, want 27 = 3 3. Maatvergroting = (lineaire vergroting) dimensie
Maatvergroting: 4 keer Lineaire Vergroting 3 keer 4 = 3 dimensie Dimensie = = 1.26 log 4 log 3 Wat is de dimensie van de Koch-kromme?