Investigate polygons with all the vertices on the lattice points of
a grid. For each polygon, work out the area A, the number B of
points on the boundary and the number of points (I) inside the
polygon. Can you find a formula connecting A, B and I?
Stage: 3 Challenge Level:
D = 2pqr where p, q and r are primes and there are only a few
cases to consider as p, q and r can't be very big.
The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the
NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to
embed rich mathematical tasks into everyday classroom practice. More information on many of our other activities
can be found here.