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math.CO2024
Equable Parallelograms on the Eisenstein Lattice
Christian Aebi, Grant Cairns
This paper studies equable parallelograms whose vertices lie on the Eisenstein lattice. Using Rosenberger's Theorem on generalised Markov equations, we show that the set of these p…
math.CO2023
Following in Yiu's Footsteps but on the Eisenstein Lattice
Christian Aebi, Grant Cairns
Paul Yiu proved that all Heron triangles are realizable on the integer lattice. We give an analogous result for triangles with vertices on the Eisenstein lattice.