TITLE: How did ancient greek geometers represent solids?
QUESTION [17 upvotes]: I've seen plenty of ancient diagrams representing plane figures.* But I'd like to know how ancient geometers, especially around the time of Euclid, might have represented solids. Did they use diagrams with perspective? Three dimensional models? 
*cf. David Fowler, "The Mathematics of Plato's Academy", see the plates between pages 6 and 7

REPLY [4 votes]: Below is a dodecahedron, dated to the 1st century, with faces labeled by the Greek alphabet.  It's a figure from "A Dodecahedron of Rock Crystal from the Idaean Cave and Evidence for Divination in the Sacred Cave of Zeus," by Angelos Chaniotis.  Here's a place to download the full article:  https://archiv.ub.uni-heidelberg.de/propylaeumdok/1865/1/Chanotis_Dodecahedron_2006.pdf.
A cursory search shows that we have found at least a few handfuls of carved dodecahedra and icosahedra in Graeco-Roman Egypt.  See https://www.metmuseum.org/art/collection/search/551072 for a nice icosahedron.  So the Platonic solids were tangible objects a few centuries after Euclid.  Scholarship on earlier dodecahedra and icosahedra gets a bit sketchy.  As for diagrams, I'd stick with Fowler's uncertainty for now.