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==Naming stellations== The first systematic naming of stellated polyhedra was [[Arthur Cayley|Cayley]]'s naming of the regular star polyhedra (nowadays known as the [[Kepler–Poinsot polyhedra]]). This system was widely, but not always systematically, adopted for other polyhedra and higher polytopes. [[John Horton Conway|John Conway]] devised a terminology for stellated [[polygon]]s, [[polyhedron|polyhedra]] and [[polychoron|polychora]] (Coxeter 1974). In this system the process of extending edges to create a new figure is called ''stellation'', that of extending faces is called ''greatening'' and that of extending cells is called ''aggrandizement'' (this last does not apply to polyhedra). This allows a systematic use of words such as 'stellated', 'great', and 'grand' in devising names for the resulting figures. For example Conway proposed some minor variations to the names of the [[Kepler–Poinsot_polyhedra#History|Kepler–Poinsot polyhedra]].
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