|WikiProject Mathematics||(Rated Stub-class, Low-importance)|
First section deleted
I have deleted the first section of the article, because I believe it was mostly mistaken.
- The three-dimensional torus, or triple torus, is defined as the Cartesian product of three circles,
- In contrast, the usual torus is the Cartesian product of two circles only.
This can't be right. We are trying to construct a surface, something two-dimensional. The construction defined gives something three-dimensional.
- The triple torus is a three-dimensional compact manifold with no boundary. It can be obtained by gluing the three pairs of opposite faces of a cube. (After gluing the first pair of opposite faces the cube looks like a thick washer, after gluing the second pair — the flat faces of the washer — it looks like a hollow torus, the last gluing — the inner surface of the hollow torus to the outer surface — is physically impossible in three-dimensional space so it has to happen in four dimensions.)
- Then could you fix the link in Doughnut theory of the universe to what the proposed shape actually is? Is it a "three-dimensional torus" or a triple torus? 18.104.22.168 (talk) 17:07, 13 February 2014 (UTC)
Two more representations of the triple torus
Is the statement
- Just as a torus can be represented as a square with opposite edges identified or as a hexagon with opposite edges identified, a triple torus can be represented as a dodecagon with opposite edges identified or as a 14-gon with opposite edges identified
- obvious or easily verifiable, or
- referenced somewhere, or
- unnacceptable, as "original research"? (comment contributed by User:Maproom)