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...cone is a solid object; otherwise it is a two-dimensional object in three-dimensional space. In the case of a solid object, the boundary formed by these lines or {{shapes}} ...

A '''sphere''' is a round, [[3D|three-dimensional]] shape. A sphere is the three-dimensional [[Analogy|analog]] of a [[circle]]. ...

'''Area''' is the amount of [[Space (physics)|space]] a [[two dimensional]] (flat) surface takes up. It is useful because it is how much of a [[mater ...date=2020-09-24|website=Math Vault|language=en-US}}</ref> Areas of regular shapes such as [[square]], [[rectangle]], [[triangle]] and [[circle]] can be calcu ...

...e than two [[dimension]]s are constructed by using regular two-dimensional shapes. For example, a [[tetrahedron]] is constructed with four triangles, and a [ ...ver, there are also geometric figures that are constructed using different shapes. A [[pyramid]], for example. uses one [[rectangle]] and four triangles. In ...

...]. In [[geometry]], a torus is made by rotating a [[circle]] in [[3D|three dimensional]] space. To make a torus, the circle is [[rotation|rotated]] around a line {{shapes}} ...

A '''dodecahedron''' is a [[polyhedron]] (a three-dimensional [[shape]]) that has 12 faces. Each face is a [[pentagon]] (a [[polygon]] wi {{shapes}} ...

...=''n'' = 3}}) in another number of [[dimensions]] (which is known as ''n''-dimensional). A hypercube is a [[Closed set|closed]], [[Compact space|compact]], [[Conv ...ty of Groningen]] | location=Netherlands | year = 1912 | chapter=IV, Five dimensional semiregular polytope | isbn=141817968X }}</ref> but it has been superseded. ...

A '''pyramid''' is a [[three-dimensional]] [[shape]]. It has [[triangle|triangular]] sides that come together in a p ...multiplying]] the base (B) by the height (h), then dividing the product by three. ...

[[File:PlaneIntersection.png|thumb|Two intersecting planes in [[three-dimensional]] space]] ...|website=Math Vault|language=en-US}}</ref> A plane can also be named after three points that are not all on the same line.<ref>{{Cite web|title=An introduct ...

...ylinder''' is one of the most basic curved three dimensional [[geometric]] shapes, with the [[surface]] formed by the points at a fixed distance from a given {{shapes}} ...

...'tetrahedron''' or '''triangular pyramid''' is a [[polyhedron]] (a [[three-dimensional]] [[shape]]). It has four [[Vertex|corners]] and six edges. All four of its {{shapes}} ...

...mputer]]s usually use triangles to make more complex [[graphic]] images or shapes. * if all the three sides of a triangle have the same length, then it is an '''[[equilateral tr ...

In [[Five-dimensional space|five-dimensional]] [[geometry]], a '''demipenteract''' or '''5-demicube''' is a semiregular ...t in 1912 as a semiregular polytope, labeling it as HM₅ for a 5-dimensional ''half measure'' polytope. ...

A square is also the 2-dimensional surface of a [[cube]]. {{shapes}} ...

...are the four-dimensional [[Analog|analogs]] of the [[Platonic solid]]s (in three dimensions) and the [[regular polygon]]s (in two dimensions). ...olids. There is one additional figure (the [[24-cell]]) which has no three-dimensional equivalent. ...

A '''circle''' is a round, [[2D|two-dimensional]] shape. All [[Point (geometry)|point]]s on the edge of the circle are at t {{shapes}} ...

An '''icosahedron''' is a [[polyhedron]] (a [[three dimensional]] shape) that is made of [[triangle|triangles]] and has twenty sides. Its [[dual polyhedron]] is the regular [[dodecahedron]] {5, 3} which has three regular pentagonal faces around each vertex. ...

[[Image:Cartesian-coordinate-system.svg|thumb|right|250px|Two dimensional Cartesian coordinate system. Four points are marked: (2,3) in green, (-3,1) Cartesian coordinates can be used in [[3D|three dimensions]] (3D), by adding a third number, the <math>z</math> ''coordinat ...

...d, its definition admits only ''parallelograms'' and ''parallelepipeds''. Three equivalent definitions of ''parallelepiped'' are *a hexahedron with three pairs of parallel faces, and ...

...[[maximal independent set]]s of its vertices have the same size. The other three polyhedra with this property are the [[pentagonal dipyramid]], the [[snub d The octahedron's [[symmetry group]] is O_h, of order 48, the three dimensional [[hyperoctahedral group]]. This group's [[subgroup]]s include D<sub>3d</su ...