Pick's Theorem for Lattice Polygon Areas

Explanations 4

• Pick's Theorem What is Pick's Theorem? Pick's Theorem expresses the area of a polygon, whose vertices are lattice points in the coordinate plane, using the number of lattice poi…

  By Kevin Jiang, Moor Xu

• If a polygon is constructed on an equally-distanced point grid, this is when Pick's theorem comes in handy! Pick's theorem provides a formula for evaluating the area of a polygo…

  By Alexandra Yeoh, Alexander Duan

• Pick's Theorem Pick's theorem talks about the area of polygons on square grids like the one below. A lattice polygon is a polygon whose vertices are on lattice points. For examp…

  By Ray Li, Expii Team, Victor Wang

• Pick's Theorem - Proof Thanks to Kevin for that wonderful introduction! I can't think of any motivation for the conclusion in the theorem except by experimentation, so let's jum…

  By Brian Liu, Tom Shen