1)for a rectifiable curve F in 1-dimensional, H1(F) is the length of the curve and the length is [0,infinity]

2)for a rectifiable curve F in 2-dimensional, H1(F) is the length of the curve and the length is infinity.

3)for a rectifiable curve F in 1/2-dimensional, H1(F) is the length of the curve and the length is 0.

The above is true?