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The Sierpinski pyramid has Hausdorff dimension 2 but topological dimension 3, or am I mistaken?
by emblaegh 2y ago
The Sierpinski pyramid has Hausdorff dimension 2 but topological dimension 3, or am I mistaken?
- nabla9 2y agoIts Hausdorff dimension is something like ~1.6 and topological dimension is 1.
- emblaegh 2y agoPyramid, not triangle. Maybe the topological dimension of that is not 3, I don't know, I'm not familiar with the concept. But the fractal dimension is definitely 2.
- nabla9 2y agoAh. Topological dimension is definitely not 3. It's almost certainly just 1. Hausdorff dimension probably 2 or 2ish.