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math.GM2022
A simple sum for simplices
Christian Aebi, Grant Cairns
We give a vector identity for points in . It follows as a corollary that when is odd the sum of the signed volumes of the -simplices is zero, and when …
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…