Following in Yiu's Footsteps but on the Eisenstein Lattice

2023/09/24 by Christian Aebi, Grant Cairns, Aebi, Christian +1
Computer Science · Mathematics · #11H06 #51M05 #Analytic Number Theory Research #Combinatorics (math.CO) #FOS: Mathematics #Mathematical Dynamics and Fractals #Metric Geometry (math.MG) #Number Theory (math.NT) #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.2309.13551

openalex publication_date 2023/09/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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