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May 15, 2023 at 18:40 history edited YCor CC BY-SA 4.0
fixed English, made title more specific, fixed tags
Jul 1, 2010 at 18:46 comment added Gil Kalai +1 I think this is a very good question. (Perhaps the English is not perfect which makes it slightly hard to understand.)
May 17, 2010 at 16:06 answer added Gil Kalai timeline score: 18
Jan 24, 2010 at 22:02 comment added Yemon Choi -1. I am not sure that "finding the exact set of mathematical tools" is a good way to learn things: that isn't how mathematics works. I mean, maybe you should learn homology theory, but maybe you don't need to bother... There are several books on convex polytopes and polyhedra, so if a list of such books is what you were after, perhaps you should edit the question?
Jan 24, 2010 at 18:42 history edited Ali Dino Jumani CC BY-SA 2.5
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Jan 24, 2010 at 18:37 history edited Ali Dino Jumani CC BY-SA 2.5
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Jan 24, 2010 at 17:56 answer added David E Speyer timeline score: 5
Jan 24, 2010 at 14:51 comment added Ali Dino Jumani Joseph Malkevitch's own AMS monthly column "Euler's Polyhedral Formula: PartII" is also a nice elaboration in this respect; but naming the explicit set of tools will be helpful.
Jan 24, 2010 at 14:12 comment added Joseph Malkevitch Assuming you have 3-dimensional convex polyhedra in mind look at Branko Grunbaum's book Convex Polytopes. For k-valent polyhedra (k = 3, 5, or 5), if I understand what you want, then there are some partial results going under the name of what are called "Eberhard Theorems."
Jan 24, 2010 at 13:19 comment added Ali Dino Jumani Yes, Pete is right about its vagueness; my pupose is to count face vectors.
Jan 24, 2010 at 12:53 comment added Pete L. Clark -1: This question is prohibitively vague. What kind of "analysis" do you want to do? Your tag suggests that you want to somehow enumerate them, but the set of convex polyhedra is uncountable.
Jan 24, 2010 at 10:12 history asked Ali Dino Jumani CC BY-SA 2.5