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In [[algebraic geometry]], an '''ind-scheme''' is a set-valued [[functor]] that can be written (rep *V.Drinfeld, Infinite-dimensional vector bundles in algebraic geometry, notes of the talk at the `Unity of Mathematics' conference. [http://www.ma ...

{{General geometry}} ...a single [[coordinate]]. An example is the [[number line]], each [[point (geometry)|point]] of which is described by a single [[real number]].<ref>{{cite web| ...

...''Barth–Nieto quintic''' is a [[quintic]] [[3-fold]] in 4 (or sometimes 5) dimensional [[projective space]] studied by {{harvs|txt| last1=Barth | first1=Wolf |aut ...tle= Higher dimensional birational geometry (Kyoto, 1997)|contribution=The geometry of Siegel modular varieties |last1=Hulek |first1=Klaus |author1-link=Klaus ...

...ic spanner]], a weighted [[undirected graph]] connecting a set of [[point (geometry)|geometric points]] with the property that, for every pair of points in the ...Yao graph is to surround each of the given points by equally spaced [[ray (geometry)|rays]], partitioning the plane into sectors with equal angles, and to conn ...

In [[geometry]], an '''essential manifold''' is a special type of closed manifold. The no *All closed surfaces (i.e. 2-dimensional manifolds) are essential with the exception of the 2-sphere ''S² ...

...ler characteristic|Euler relation]] on the number of d-dimensional [[Face (geometry)|faces]]. ...e normalized (hyper)volume of the polytope (i.e, the fraction of the ''n''-dimensional spherical or hyperbolic space); the angles <math>\angle(F)</math> also have ...

In [[algebraic geometry]] a '''normal crossing singularity''' is a singularity similar to a union o ...try]], '''normal crossing divisors''' are a class of [[Divisor (algebraic geometry)|divisors]] which generalize the smooth divisors. Intuitively they cross on ...

...out any notion of distance. Seven-dimensional [[Euclidean space]] is seven-dimensional space equipped with a [[Euclidean metric]], which is defined by the [[dot p ...] vector space, which has 14 real dimensions. It may also refer to a seven-dimensional [[manifold]] such as a [[7-sphere]], or a variety of other geometric constr ...

In [[geometry]], a '''tame manifold''' is a [[manifold]] with a well-behaved [[Compactifi ....I.|series=IAS/Park City Math. Ser.|year=2009|volume=15|chapter=Hyperbolic geometry and 3-manifold topology|pages=73–103|mr=2503493|isbn=978-0-8218-4766-4}} ...

{{short description|Lifts an action of a finite-dimensional Lie algebra on a manifold to a Lie group action}} In [[differential geometry]], a field of mathematics, the '''Lie–Palais theorem''' is a partial conver ...

...the term '''affine Grassmannian'''. In one it is the manifold of all ''k''-dimensional [[Affine space|affine subspaces]] of '''R'''^''n'' (described on ...>(''V'') is the [[topological space]] of all [[Affine space|affine]] ''k''-dimensional subspaces of ''V''. ...

In [[mathematics]], a '''Benz plane''' is a type of 2-[[dimension]]al [[Geometry|geometrical]] structure, named after the [[Germany|German]] [[mathematician <ref>F. Buekenhout (ed.), ''Handbook of [[Incidence (geometry)|Incidence Geometry]]'', [[Elsevier]] (1995) {{ISBN|0-444-88355-X}}</ref> ...

...Rice |chapter=The definition of a statistical manifold |title=Differential Geometry and Statistics |publisher=Chapman & Hall |year=1993 |pages=76–77 |isbn=0-41 ...by the [[Fisher information]] matrix, it is a statistical manifold with a geometry modeled on [[hyperbolic space]]. A way of picturing the manifold is done by ...

{{Short description|Triangle comparison theorem in Riemannian geometry}} In the [[mathematics|mathematical]] field of [[Riemannian geometry]], '''Toponogov's theorem''' (named after [[Victor Andreevich Toponogov]]) ...

{{Short description|Tessellation in Euclidean geometry}} ...honeycomb''' is a uniform space-filling [[tessellation]] (or [[honeycomb (geometry)|honeycomb]]). It has half the vertices of the [[7-demicubic honeycomb]], a ...

...e spheres, cylinders, and cones, which can be infinite or finite. Some two-dimensional mathematical spaces are not used to represent physical positions, like an [ ...f them are [[parallel lines|parallel]], meaning they never [[intersection (geometry)|intersect]] and stay at uniform distance from each-other. ...

...honeycomb''' is a uniform space-filling [[tessellation]] (or [[honeycomb (geometry)|honeycomb]]) in Euclidean 4-space. [[Category:Honeycombs (geometry)]] ...

...'Castelnuovo–Richmond–Igusa quartic''') is a quartic [[hypersurface]] in 4-dimensional [[projective space]], studied by {{harvs|txt|last=Igusa|year=1962|authorlin ...r Dolgachev | last1=Dolgachev | first1=Igor V. | title=Classical Algebraic Geometry: a modern view | url=http://www.math.lsa.umich.edu/~idolga/CAG.pdf | publis ...

== Two-dimensional shapes == ...b|url=https://www.andlearning.org/geometry-formulas/|title = List of Basic Geometry Formulas|date = 27 May 2018}}</ref> ...

...ing [[honeycomb (geometry)|honeycomb]]. It can be seen as a [[Runcination (geometry)|runcination]] of the regular [[16-cell honeycomb]], containing [[Rectified [[Category:Honeycombs (geometry)]] ...