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mesh dual

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I'm working on parsing a file format that encodes the dual of a mesh:


The topology coding algorithm described here is used to code the dual of the desired mesh. Thus, for example, the reader
will need to take the dual of the decoded mesh in order to obtain the original primal mesh. Presented below are classes
suitable for representing the dual of a polygon mesh and the dual topology decoding algorithm.



A google search does not give an introductory explanation as would be found in a textbook.  I found a couple of reserach papers that mention "dual mesh"?  What kind of textbook would explain the theory of dual meshes?

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