| This paper studied the fractal properties of the curve having area on the plane and itsgeneralization in the d-dimensional Euclid space Eｄ.For thin fractal curves, the fractaldimension Df= log2ｄ/log(2/k1/ｄ),for fat fractal curves,the fractal exponents β=-logk/log2,α=d. When d=2, the fat fractal curves include classical Peano’s curvedrawn by D.Hilbert. |
