Equable kites, trapezoids and cyclic quadrilaterals on the Eisenstein Lattice
نویسندگان
1 Department of Mathematical and Physical Sciences, La Trobe University Melbourne, Australia
2 Collège Calvin Geneva, Switzerland
doi
10.22108/toc.2024.140684.2150چکیده
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 $3x^2-2=y^2$, and only one single equable trapezoid, which also happens to be the only equable cyclic quadrilateral.
