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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Showing 2023Show all

3 papers · 1 filter

math.CO2023

Less than Equable Triangles on the Eisenstein lattice

Christian Aebi, Grant Cairns

We classify perimeter dominant triangles whose side lengths are in $3 N$ and whose area is in $\frac{3}{4} N$ . There is one exceptional example, which is equi…

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.

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.