4 ms·
I think that your terminology "3-sphere" (which is standard) as synonymous with "4-dimensional sphere" (which is not) may be confusing. Of course the 3-sphere
by JadeNB 10y ago
I think that your terminology "3-sphere" (which is standard) as synonymous with "4-dimensional sphere" (which is not) may be confusing. Of course the 3-sphere is 3-dimensional, hence the name; it is just that it is canonically embedded in 4-dimensional Euclidean space (and not in 3-dimensional, flat Euclidean space).
- jacobolus 10y agoFair enough. Hopefully nobody was confused. I was trying to meet the grandparent poster halfway. His comment was “[...] Don't try to imagine 4D space. You can't. If you think you can imagine a 4D hypersphere [...]”