4 ms·
A nearly flat cap from the 3D sphere with big radius will also have small volume. I think the word "spikey" is bad for getting your idea across.
by xyzzyz 14y ago
A nearly flat cap from the 3D sphere with big radius will also have small volume. I think the word "spikey" is bad for getting your idea across.
- ColinWright 14y agoBut in the 3D sphere the volume of the cap grows rapidly with the height. That's not true in higher dimensions, which is why in higher dimensions it behaves more like a spike than a sphere. It's the apparent contradiction of that image that helps prevent the usual mistake in visualization. That's why I use the term, for that shock value.