The classification of the regular polytopes in any finite amount of dimensions is well known. In 2D, 3D and 4D, there are quite a few exotic shapes, but from $5$ dimensions up, every regular polytope lies in one of three infinite families:
Simplexes, the analogs of tetrahedra.
Hypercubes, the a...
If one's life purpose was to win the Fields Medal, how would one approach such a quest?
Naturally, I recognise this might be a somewhat triggering question, and by all means I intend to pursue such a prize myself. I'm only interested in the discussion. Furthermore, I totally support the idea tha...
@TravisWillse I have made a small edit to your post. I replaced the original link to chat by this: chat.stackexchange.com/rooms/3740/conversation/the-tag-gradient The original link was simply link to the room - which would always shown the most recent messages in here. I thought that a link showing the actual conversations concerning this tag might be more useful for people who read this post.
In any case, thanks for promoting the room - if more users know about this room, it might be useful.
Proposal: Remove the tag infinite-dimensional-space
This tag was created by the question Are there such things as infinite-dimensional regular polytopes?, which is currently the only question with this tag. I don't see this tag having much utility.