Spatial properties of regular polyhedra. The coloured dashed lines show the surface area to volume ratios of T (red), tT (orange), O (blue), tO (purple), cO (cobalt), C (dark green), and tC (green) particle forms, and the solid lines show the edge/surface area ratio. The asterisk symbols on the far left show their ‘sphericities’ and the different coloured symbols on the right indicate the fraction of the particle surface in {111} facets, which is zero for a cube (C).