Lattice

Puzzles

• areaProve that the area of a triangle formed by three lattice points is integer/2.
• chessboard.circlesStart with a chessboard and put one marker on each intersection point, including those on the perimeter and... New
• equilateralCan an equlateral triangle have vertices at integer lattice points?
• ink.stainsThe plane has a dot at every point (x,y) where both x and y are integers. New
• madmen.in.forestFive madmen hide in an infinite square grid of trees, each uprooting one tree and standing in its place. New
• platonic.solidsFor each of the five Platonic solids, decide whether or not there exists such a solid in R^3 such that each... New
• sixteen.geeksPlace 16 people in a 4x4x4 grid of rooms so that the smallest distance between any two of them is as large... New