<p><b>Abstract</b>—We show that a <it>k</it>×<it>n</it> diagonal mesh is isomorphic to a <tmath>${\textstyle{{n+k} \over 2}}\times {\textstyle{{n+k} \over 2}}-{\textstyle{{n-k} \over 2}}\times {\textstyle{{n-k} \over 2}}$</tmath> twisted toroidal mesh, i.e., a network similar to a standard <tmath>${\textstyle{{n+k} \over 2}}\times {\textstyle{{n+k} \over 2}}$</tmath> toroidal mesh, but with opposite handed twists of <tmath>${\textstyle{{n-k} \over 2}}$</tmath> in the two directions, which results in a loss of <tmath>$\left( {{\textstyle{{n-k} \over 2}}} \right)^2$</tmath> nodes.</p>