Classes of Similar Polytopes
George Olshevsky advocates the term regiment for a set of polytopes that share an edge arrangement, and more generally n-regiment for a set of polytopes that share elements up to dimension n. Synonyms for special cases include company for a 2-regiment (sharing faces) and army for a 0-regiment (sharing vertices).
Read more about this topic: Vertex Arrangement
Famous quotes containing the words classes of, classes and/or similar:
“There were three classes of inhabitants who either frequent or inhabit the country which we had now entered: first, the loggers, who, for a part of the year, the winter and spring, are far the most numerous, but in the summer, except for a few explorers for timber, completely desert it; second, the few settlers I have named, the only permanent inhabitants, who live on the verge of it, and help raise supplies for the former; third, the hunters, mostly Indians, who range over it in their season.”
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“It is surely a matter of common observation that a man who knows no one thing intimately has no views worth hearing on things in general. The farmer philosophizes in terms of crops, soils, markets, and implements, the mechanic generalizes his experiences of wood and iron, the seaman reaches similar conclusions by his own special road; and if the scholar keeps pace with these it must be by an equally virile productivity.”
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