Schläfli symbols

What is the dual of an infinite triangular lattice?

Definitions:

  • The dual of a solid with Schläfli symbols \(\{m,n\}\) has Schläfli symbols \(\{n,m\}.\)

  • The Schläfli symbols for a geometric construct is defined by \(\{m,n\}\), where \(m\) is the number of edges for each face and \(n\) is the number of faces that meet at a vertex.

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