2021/04/30 by Christian Aebi, Grant Cairns, Aebi, Christian +1
Engineering · Mathematics · #Control and Dynamics of Mobile Robots #FOS: Mathematics #General Mathematics (math.GM) #Mathematics and Applications #Spacecraft Dynamics and Control #Structural Analysis and Optimization
paper · pdf · doi:10.48550/arxiv.2105.00919
openalex publication_date 2021/04/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We show that there are 4 infinite families of lattice equable kites, given by\ncorresponding Pell or Pell-like equations, but up to Euclidean motions, there\nare exactly 5 lattice equable trapezoids (2 isosceles, 2 right, 1 singular) and\n4 lattice equable cyclic quadrilaterals. We also show that, with one exception,\nthe interior diagonals of lattice equable quadrilaterals are irrational.\n