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 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.”
—Henry David Thoreau (1817–1862)
“A whole village-full of sensuous emotion, scattered abroad all the year long, surged here in a focus for an hour. The forty hearts of those waving couples were beating as they had not done since, twelve months before, they had come together in similar jollity. For the time Paganism was revived in their hearts, the pride of life was all in all, and they adored none other than themselves.”
—Thomas Hardy (1840–1928)