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...manifold]], or as the amount of "material" that it would take to cover the manifold completely. ...t depends on the particular two-dimensional manifold the three-dimensional manifold is intersected with, as well as where and at what [[angle]] the intersectio

...c to a sphere. Removing a single point from a sphere leaves the remaining manifold still simply connected; removing one point from a plane does not—sinc

...ave analogues in all dimensions. An n-dimensional version of one of these manifold families is specified by prefixing the number n (generally followed by a [[ Still another common category of manifold is the [[polytope]]. An polytope is a [[infinity|finite]] region in n dime

...a [[manifold]] which exhibits a kind of [[self-similarity]]; pieces of the manifold bear a resemblance to the whole, down to arbitrarily small scales. General

...er, or they could be nested one inside the other; if the three-dimensional manifold is itself not flat, it's possible for the spheres to be essentially "nested ...ningless proposition if the planes aren't embedded in a higher-dimensional manifold). Based on adjacency, [[planar map|map]]s are sometimes made of the arrang

...The [[azraryaz]]en are mineral beings apparently born somehow of Varra's manifold crystals; they exist in plentiful varieties (not all of which, by any means