Lattice equable quadrilaterals II -- kites, trapezoids and cyclic quadrilaterals
General Mathematics
2021-05-04 v1
Abstract
We show that there are 4 infinite families of lattice equable kites, given by corresponding Pell or Pell-like equations, but up to Euclidean motions, there are exactly 5 lattice equable trapezoids (2 isosceles, 2 right, 1 singular) and 4 lattice equable cyclic quadrilaterals. We also show that, with one exception, the interior diagonals of lattice equable quadrilaterals are irrational.
Keywords
Cite
@article{arxiv.2105.00919,
title = {Lattice equable quadrilaterals II -- kites, trapezoids and cyclic quadrilaterals},
author = {Christian Aebi and Grant Cairns},
journal= {arXiv preprint arXiv:2105.00919},
year = {2021}
}