Christian Aebi

activity

20122026

most citedLattice equable quadrilaterals II -- kites, trapezoids and cyclic quadrilaterals

1 citations · 1 across the 15 of their papers we have counts for

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math.GM2026

Lattice triangles whose centers are lattice points

Christian Aebi, Grant Cairns

We show that for an integer $ℓ$ , there exists an acute integer lattice triangle of lattice perimeter $ℓ$ such that its orthocenter is an integer lattice point, if and only if…

math.GM2023

Equable Triangles on the Eisenstein Lattice

Christian Aebi, Grant Cairns

We show that there are only two equable triangles having vertices on the Eisenstein lattice, up to Euclidean motions.

math.GM2022

A simple sum for simplices

Christian Aebi, Grant Cairns

We give a vector identity for $n + 2$ points in $R^{n}$ . It follows as a corollary that when $n$ is odd the sum of the signed volumes of the $n$ -simplices is zero, and when $n$ …

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…