Polyhedral space is a certain metric space. A (Euclidean) polyhedral space is a (usually finite) simplicial complex in which every simplex has a flat metric. (Other spaces of interest are spherical and hypebolic polyhedral spaces, where every simplex has a metric of constant positive or negative curvature). In the sequel all polyhedral spaces are taken to be Euclidean polyhedral spaces.
Read more about Polyhedral Space: Examples, Metric Singularities, Curvature, Additional Structure, Other Topics
Famous quotes containing the words polyhedral and/or space:
“O hideous little bat, the size of snot,
With polyhedral eye and shabby clothes,”
—Karl Shapiro (b. 1913)
“A set of ideas, a point of view, a frame of reference is in space only an intersection, the state of affairs at some given moment in the consciousness of one man or many men, but in time it has evolving form, virtually organic extension. In time ideas can be thought of as sprouting, growing, maturing, bringing forth seed and dying like plants.”
—John Dos Passos (1896–1970)