By Eisenhart L.P.
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Extra info for Transformations of Conjugate Systems With Equal Invariants
Moreover, we call regular meshes those meshes which are deﬁned by the uniform subdivision of a d-cell into scaled copies of it. Note that the vertices of a regular mesh are a subset of the vertices of a regular grid and that all sub-cells with a given dimension d have the same valence vd . A semi-regular mesh is generated by starting with an irregular mesh and applying a uniform reﬁnement operator to each cell. The uniform reﬁnement does not generate new vertices or edges with irregular valences nor does it change the valences of existing elements.
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Transformations of Conjugate Systems With Equal Invariants by Eisenhart L.P.