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Mar 18, 2018 at 22:44 vote accept Daniele Zuddas
Mar 18, 2018 at 19:45 comment added Dmitri Panov In $\mathbb R^{n+1}$
Mar 18, 2018 at 19:45 history edited Dmitri Panov CC BY-SA 3.0
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Mar 18, 2018 at 19:43 comment added Daniele Zuddas sorry, I misunderstood. So you take a regular simplex in $\Bbb R^n$ all of whose vertices belong to $S^n$, isn't?
Mar 18, 2018 at 19:36 comment added Dmitri Panov THE regular simplex in $S^n$ has $n+2$ vertices. The example that I propose is just the generalization of yours
Mar 18, 2018 at 19:35 comment added Daniele Zuddas but a simplex in $\Bbb RP^n$ has at most $n+1$ vertices, depending on its dimension
Mar 18, 2018 at 19:33 comment added Dmitri Panov Because this is so for $S^n$
Mar 18, 2018 at 19:32 history edited Dmitri Panov CC BY-SA 3.0
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Mar 18, 2018 at 19:32 comment added Daniele Zuddas I don't understand why transpositions are realizable by isometries
Mar 18, 2018 at 19:30 history answered Dmitri Panov CC BY-SA 3.0