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Gil Kalai
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Another nice formulation is the following: Prove that the vertices of a MPG (all faces are triangles) without crossing diagonals can be put on a integer unit grid, so that NO triangle has an integer area (= xx.5).

Example: An illustration for $K4$ enter image description here

Answer by P. Labarque

Another nice formulation is the following: Prove that the vertices of a MPG (all faces are triangles) without crossing diagonals can be put on a integer unit grid, so that NO triangle has an integer area (= xx.5).

Another nice formulation is the following: Prove that the vertices of a MPG (all faces are triangles) without crossing diagonals can be put on a integer unit grid, so that NO triangle has an integer area (= xx.5).

Example: An illustration for $K4$ enter image description here

Answer by P. Labarque

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Another nice formulation is the following: Prove that the vertices of a MPG (all faces are triangles) without crossing diagonals can be put on a integer unit grid, so that NO triangle has an integer area (= xx.5).

Post Made Community Wiki by P.Labarque