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> If I'm not mistaken, it would have Hausdorff dimension 1 What is the Hausdorff dimension for a line?
by subroutine 3y ago
> If I'm not mistaken, it would have Hausdorff dimension 1
What is the Hausdorff dimension for a line?
- Sniffnoy 3y agoA line or line segment has Hausdorff dimension 1, while a point has Hausdorff dimension 0. In general, ordinary n-dimensional space has Hausdorff dimension n. That's why I referred to the Hausdorff dimension of the Cantor set -- equal to log(2)/log(3), or approximately 0.63 -- as "intermediate".
- lmm 3y ago1 for a line, 2 for a square, 3 for a cube. Hausdorff dimension agrees with the usual kind for normal shapes.