Equable kites, trapezoids and cyclic quadrilaterals on the Eisenstein Lattice

We show that on the Eisenstein lattice, up to Euclidean motions, there is only one infinite family of equable kites, which is given by the Pell-like equation ۳x^۲-۲=y^۲, and only one single equable trapezoid, which also happens to be the only equable cyclic quadrilateral.

کلیدواژه ها:

quadrilateral ، Eisenstein lattice ، equable