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This isn't a convex polyhedron with all regular faces[edit source]

If considered as a convex polytope, it has trapezoid faces. If using the definition that a convex polytope is the convex hull of its vertices, it is not convex. --Galoomba (talk) 16:32, 18 January 2023 (UTC)

Some authors distinguish between convexity and strict-convexity which disallows coplanar faces. If this isn't convex, then squat, trat, hexat etc. aren't either, all of those are marked as convex. 2603:7000:8901:F6DE:304B:A46B:C4B4:5615 16:38, 18 January 2023 (UTC)
If using those definitions it's not convex. However with the interior definition (A polytope is convex if its interior is convex), it is convex, and Stewart does explicitly call W' convex in Adventures Amoung the Toroids. I think I'll add in a note to repeat what you said on the word convex in the first sentence, and edit Convex to be clear that the three definitions are not equivalent. Sycamore916 (talk) 23:42, 18 January 2023 (UTC)