@jamestanton@twitter.com (https://gdaymath.com/) writes (https://twitter.com/jamestanton/status/1613485564006637568):
“It is impossible to draw an equilateral triangle on a square lattice of dots with each vertex on a dot. (Why?) But can we get close?

Is it possible to have two vertices on a dot and the third within 0.00000001 units from a dot?

(The picture is not equilateral.)”

#geometry #math #ContinuedFractions #ApproximateInteger #PicksTheorem