• Corpus ID: 244102983

Lattice Equable Quadrilaterals III: tangential and extangential cases

@inproceedings{Aebi2021LatticeEQ,
  title={Lattice Equable Quadrilaterals III: tangential and extangential cases},
  author={Christian Aebi and Grant Cairns},
  year={2021}
}
A lattice equable quadrilateral is a quadrilateral in the plane whose vertices lie on the integer lattice and which is equable in the sense that its area equals its perimeter. This paper treats the tangential and extangential cases. We show that up to Euclidean motions, there are only 6 convex tangential lattice equable quadrilaterals, while the concave ones are arranged in 7 infinite families, each being given by a well known diophantine equation of order 2 in 3 variables. On the other hand…