Comments by "John Gottschalk" (@JohnGottschalk) on "Numberphile2" channel.

  1.  @laurel5432  Well, clearly what games are rendering is rarely symmetrical or simple. So in a sense, that shoudn't really be the challenge. Not to mention, even if you can calculate it, how will you render something in so many dimensions in a way we will be able to visually understand it? Even 4D being visualised for our 3D brains is messy.
    3
  2. A bit drafty no?
    1
  3. This was just a massive ad for his Klein bottles 🤣
    1
  4. I was very contused during the explanation because I thought you could just take a cross-section of the object that goes through 1 corner but not the others. But I suppose that wouldn't be "going straight" in 2 dimensions. Might have been useful to see 3d animations of the other shapes as well that can't do this.
    1
  5. I imagine they share some amount of subgroups, but not completely. Or perhaps there's at least 1 segment of the Monster group that can't live on it's own as a simple group, nor lives in any of the other simple groups.
    1