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math.MG2021
Lattice Equable Quadrilaterals III: tangential and extangential cases
Christian Aebi, Grant Cairns
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…
math.MG2021
A vector identity for quadrilaterals
Christian Aebi, Grant Cairns
A surprising simple result about quadrilaterals is given as an application of the vector triple product identity.
math.GM2021★ 1 cited
Lattice equable quadrilaterals II -- kites, trapezoids and cyclic quadrilaterals
Christian Aebi, Grant Cairns
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 eq…