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A Hexagon From a Cube

Solution Step 0/0
By making just one slice through a perfect cube it is possible to obtain a cut which would be a regular hexagon. Going through points L and F, what other 4 points it would go through?

Explanations

Including L and F, the centers of the two diagonally opposite edges, adding four more centers on adjacent four edges - B, D, H, J - and connecting them all together in a closed loop as is shown in the digram - the result of such slicing is a regular hexagon.
Check A, G, J, N
Check B, D, H, J
Check C, H, J, O
Check D, G, J, M

Puzzle A Hexagon From a Cube

Puzzle A Hexagon From a Cube