“…Data consisting of sets of three-dimensional points, sometimes also referred to as point clouds, appear in a number of scientific and engineering settings. Examples include molecular chemistry (Beddell et al 1976, Lapatto et al 1989, Miller et al 1989, Davie et al 1991, Blundell 1996, Varghese 1999, Campbell 2000, Berman et al 2003, Hardy and Malikayil 2003, Congreve et al 2005, Zardecki et al 2016, Wu et al 2018, Jing et al 2020, in which the points are the atoms making up a molecule; high energy physics (Qu and Gouskos 2020, Kansal et al 2021, Pata et al 2021, Shlomi et al 2021, Duarte and Vlimant 2022, Qu et al 2022, in which the points represent locations of particles produced in a collider; and computer vision (Liu et al 2019b, Bello et al 2020, Guo et al 2020, in which the points are derived from the output of a three-dimensional sensor such as Lidar or Time-of-Flight. In many cases, these point sets can be effectively described by a 3D graph; that is a graph whose vertices correspond to points in R 3 .…”