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Plane Geometry is about flat shapes like lines, circles and triangles , shapes that can be drawn on a piece of paper

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Cutting a square into an infinite number of triangles constrained by two rules

I'm not sure if it's rigorous enough, but I think you can start with a regular triangulation with roughly $N \times M$ vertices, then shift the vertix at point $(x,y)$ by $(\epsilon x/N, \epsilon y/M) …
Lukas Berns's user avatar