Newsgroups: sci.physics.research, sci.physics, sci.math
From: b...@galaxy.ucr.edu (John Baez)
Date: Tue, 2 Jul 2002 22:52:47 +0000 (UTC)
Local: Tues, Jul 2 2002 6:52 pm
Subject: Re: This Week's Finds in Mathematical Physics (Week 182)
In article <8a8c1f93.0206240742.25b08...@posting.google.com>,
Jeffery <jeffery_wink...@hotmail.com> wrote:No; as Chris Hillman explained this is just a notational
>Is the dihedral group D_n the same D_n group as in the ABCDEFGHI
coincidence - though "week182" hints at a subtle relation between
>In this post, you imply that the dodecahedron and icosahedronI should have been a bit clearer.
>correspond to the E_8 group, although elsewhere you say they
>correspond to the H_3 group.
First of all, there's a more or less straightforward classification
The symmetry group of the tetrahedron is called A_3.
The group A_3 is part of an infinite series of A_n groups
The group B_3 is part of an infinite series of B_n groups
The group H_3 is not part of an infinite series of H_n groups
... however, they do have analogues in dimension 4, whose symmetry
For more on the hyperdodecahedron, the hypericosahedron, and
Anyway, in "week182" I was describing a *different* and rather
In "week182" I was trying to boil this stuff down to its simplest
I talked about this mysterious relationship between ADE and
and McKay talks about it here:
The most detailed online explanation is probably this:
Joris van Hoboken, Platonic solids, binary polyhedral groups,
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