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by emblaegh 736 days ago
The Sierpinski pyramid has Hausdorff dimension 2 but topological dimension 3, or am I mistaken?
1 comments
nabla9 736 days ago
Its Hausdorff dimension is something like ~1.6 and topological dimension is 1.
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emblaegh 736 days ago
Pyramid, 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.
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nabla9 736 days ago
Ah. Topological dimension is definitely not 3. It's almost certainly just 1.

Hausdorff dimension probably 2 or 2ish.

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