The following two-toned diagram of tiling consists of locally flat foldable patterns, but it is not to be folded like 'Hira-Ori':
>> Click the image to see the larger picture <<
Notice that all 2-cells in the structure above [considered as an Eulerian finite 2-dimensional connected graph on a flat torus T
2] are triangles of similar shapes (these are isosceles right triangles, precisely) in two sizes and every vertex is valued at six of its (graph theoretical) degree.
[Refer to the previous article:
"Some mathematical observation on geometric structures in origami" about mathematical terms.]

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