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Jun 15, 2020 at 7:27 history edited CommunityBot
Commonmark migration
Jun 2, 2017 at 13:08 comment added Gerry Myerson @Ronnie, they are called deltahedra, and there are eight of them. en.wikipedia.org/wiki/Deltahedron
Sep 3, 2016 at 14:00 history edited Martin Sleziak CC BY-SA 3.0
corrected minor typo + added Google Books link
Jun 6, 2013 at 11:17 comment added Ronnie Brown @Douglas: I agree about the advantages of polydron. A good test is: how many essentially different convex solids (hollow of course!) can you make from the triangles? This gets over ideas of "convex", "essentially different", and the answer is not so well known. (My memory is 7. Anyone with a web reference? ) I once completely baffled first year undergraduates by giving them this test! They are used to thinking of maths in other ways, I fear. This was in a varuation of the course pages.bangor.ac.uk/~mas010/ideasev.htm
Oct 12, 2012 at 6:29 comment added Douglas Zare My guess is that "four-space" was a misquotation or misstatement. I don't think there is a comfortable way to immerse a hyperbolic quilt, and I think they probably just made an embedded piece.
Oct 12, 2012 at 2:02 comment added Steven Gubkin @sridhar - just a guess, but maybe they intersect themselves after you add enough triangles, and so to avoid this intersection you think of them as 3 dimensional projections of 4 dimensional objects?
Oct 3, 2012 at 17:06 comment added Sridhar Ramesh Naive question: what is the sense in which these final tessellations live in FOUR-space?
Oct 2, 2012 at 21:39 comment added Douglas Zare I did try that once, but I don't recall the answer. I'll have to find them to check.
Oct 2, 2012 at 19:43 comment added Steven Gubkin I would guess that physical constraints would prevent you from using Polydrons from adding too many triangles around a central vertex. Certainly 7 would be doable. Have you tried seeing how high you can go?
Oct 2, 2012 at 16:15 vote accept Predrag Punosevac
Oct 2, 2012 at 4:02 comment added Douglas Zare There are bright plastic polygons which snap together and hinge at the edges called Polydrons. I use them myself, but I think they are designed to appeal to children, too. They are a little expensive for toys but I think the intuition you can gain from playing with them is hard to acquire otherwise.
Oct 2, 2012 at 0:54 comment added Steven Gubkin This is really great! Never thought about modeling hyperbolic space this way...
Oct 1, 2012 at 23:06 history answered Todd Trimble CC BY-SA 3.0