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Lattice equable quadrilaterals II -- kites, trapezoids and cyclic quadrilaterals (2105.00919v1)
Published 30 Apr 2021 in math.GM
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.