This repository hosts Supporting Information for the paper by S.T. Hyde and M.E. Evans, "Symmetric tangled Platonic polyhedra", PNAS (December) 2021. The data structure is explained in the file "SI_key.pdf" which includes a Table listing numbers of components of polyhedral 2fz tangles wound on 6 polytori, whose skeletons are the five Platonic polyhedra plus the theta_3 polyhedron 3D .ply files for simpler tangles are collected in the folder "ply_files". The data are sorted into subfolders for each of the six polyhedra.