Search results

...a band-shaped [[world]] around the narrow middle of an hourglass-shaped [[planespace|two-dimensional]] chore. The two sides of the band would, to any [[two-dim

A sphere is a [[planespace|two-dimensional]] [[cog]], or the [[locus]] of all [[point]]s within a [[re

...milar distribution. Performing a similar operation with a [[square]] in [[planespace|two dimensions]] produces a fractal called the [[Sierpiński carpet]]

...eference point. The ''[[interior]]'' of a circle, on the other hand, is [[planespace|two-dimensional]], as is the [[surface]] of a [[sphere]]; the interior of a ...nt [[parallel]] cnodaces differ only by a translation. This means that in planespace, there's fundamentally only one way to rotate; all points are parallel, so

'''Area''' is the [[content]] of a [[planespace|two-dimensional]] [[manifold]] (a [[surface]]), corresponding to the [[leng

On some worlds, it may be necessary to define borders in more than just [[planespace|two dimensions]]. If all the nations are on the [[surface]] of the world,