This seems like a very natural category of polyhedron to have, and would encompass a lot of things like the Platonic and Archimedean solids and more, but I haven't been able to find a name for it anywhere.
2026-03-26 17:31:19.1774546279
Is there a name for polyhedra with uniform edge length?
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There is a term called isotoxal, meaning that there exists a symmetry, which acts on all edges transitvely, cf. https://en.wikipedia.org/wiki/Isotoxal_figure.
The prefix iso- always unites into a single equivalence class. If you just wan to tell that those are alike (here: by size), then you could use the prefix equi- instead.
--- rk