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LONG Qi-Wei. Perimeter-Area Relation of Fractal Island[J]. Chinese Journal of High Pressure Physics, 1990, 4(4): 259-262 . doi: 10.11858/gywlxb.1990.04.004
Citation: LONG Qi-Wei. Perimeter-Area Relation of Fractal Island[J]. Chinese Journal of High Pressure Physics, 1990, 4(4): 259-262 . doi: 10.11858/gywlxb.1990.04.004

Perimeter-Area Relation of Fractal Island

doi: 10.11858/gywlxb.1990.04.004
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  • Corresponding author: LONG Qi-Wei
  • Received Date: 07 Mar 1990
  • Rev Recd Date: 07 Mar 1990
  • Publish Date: 05 Dec 1990
  • The relationship of perimeter with area (P/A relation) of fractal island is discussed. It is shown that Mandelbrot's fractal relation between Koch perimeter and area does not hold in the island with finite self-similar generations. This might be the reason why the fractal dimension measured with P/A relation varied with the length of yardstick in previous work.

     

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