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If a convex polygon has ''n'' (variable for: sides) and ''s'' represents the total sum The number of sides minus 2 gives you the number of triangles in the convex polygon, which you then times it by "180". ...

[[File:Geogebra convex ord3.png|thumb|360px|Visualization of a convex combination of degree 1., 2. and 3. in Geogebra ]] ...|vector space]]. A [[w:Linear combination|Linear combination]] is called a convex combination if all coefficients <math>\lambda_i \in [0,1]</math> are from t ...

...ion'' is a [[w:en:linear combination|linear combination]] of [[w:en:point (geometry)|points]] (which can be [[w:en:vector (geometric)|vector]]s, [[w:en:scalar ...

[[Image:Geogebra convex ord3.png|thumb|360px|Visualization of convex combinations of order 1, 2 and 3 in Geogebra ]] ...ConvexCombination-3D.gif|thumb|alt=Convex Combination in 3D with 4 Vectors|Convex Combination in 3D with 4 Vectors]] ...

...ay]] is the arrow [[w:perpendicular|perpendicular]] to these [[w:parallel (geometry)|parallel]] surfaces.]] ...maker's equation]]. In general, two types of lenses exist: [[w:convex lens|convex lenses]], which cause parallel light rays to converge, and [[concave lens|c ...

...s, or `glues' an initially flat Euclidean [[../MetricTensor/|metric]] with convex [[../LebesgueMeasure/|Lorentzian]] metrics in the expanding, and then contr .... 2002. Categorified Gauge Theory. in Proceedings of the Pacific Northwest Geometry Seminar Cascade Topology Seminar,Spring Meeting--May 11 and 12, 2002. Unive ...

Type=[[W:Convex regular 4-polytope|Convex regular 4-polytope]]| Property_List=[[W:Convex polytope|convex]], [[W:Isogonal figure|isogonal]], [[W:Isotoxal figure|isotoxal]], [[W:Isoh ...

If one identifies <math> \C</math> with the real [[w:en:plane (geometry)|plane]] <math> \textstyle \R^2</math> , then the holomorphic functions coi ...f> In fact, it is a [[w:en:locally convex topological vector space|locally convex topological vector space]], with the [[w:en:norm (mathematics)|seminorms]] ...

Type=[[W:Convex regular 4-polytope|Convex regular 4-polytope]]<br />4-[[W:Orthoplex|orthoplex]]<br />4-[[W:Demihyperc Property_List=[[W:Convex polytope|convex]], [[W:Isogonal figure|isogonal]], [[W:Isotoxal figure|isotoxal]], [[W:Isoh ...

This list shows the <math>3^4 = 81</math> {{w|face (geometry)#k-face|''k''-faces}} of the {{w|tesseract}} and its dual {{w|16-cell}}. The convex hull of this projection is the {{w|Bilinski dodecahedron}}. &nbsp;&nbsp;&nb ...

...th> to either a plane through the origin in <math>W</math>, a [[w:en:Line (geometry)|line]] through the origin in <math>W</math>, or just the origin in <math>W * [[w:en:Scaling (geometry)|scaling]] by 2 in all directions: <math display="block">\mathbf{A} = \begi ...

| Type=[[W:Convex regular 4-polytope|Convex regular 4-polytope]] Property_List=[[W:Convex set|convex]], [[W:Isogonal figure|isogonal]], [[W:Isotoxal figure|isotoxal]], [[W:Isoh ...

...s a rigid structure, as are all convex polyhedra, by [[W:Cauchy's theorem (geometry)|Cauchy's theorem]]. However, when the faces are removed, leaving only rigi | title = Topology and Geometry in Polymer Science ...

[[../NoncommutativeGeometry4/|noncommutative geometry]]); this was later expressed in terms of <math>\mathcal H_x</math> with the appropriate locally convex topology, and ...

==Geometry of the 24-cell== The [[W:24-cell|24-cell]] is the [[W:Convex regular 4-polytope|convex regular 4-polytope]]{{Sfn|Coxeter|1973|p=118|loc=Chapter VII: Ordinary Poly ...

[[../NoncommutativeGeometry4/|noncommutative geometry]]); this was later expressed in terms of <math>\mathcal H_x</math> with the appropriate locally convex topology, and ...

{{Short description|Regular object in four dimensional geometry}} | Type=[[W:Convex regular 4-polytope|Convex regular 4-polytope]] ...

| geometry corresponds to an experimental reality | geometry is a mathematical truth ...

...characteristic of its three constituent 16-cells. We explore the internal geometry of the 24-cell in detail, as an expression of its rotational symmetries. ...alone, having no analogue above or below."}} It is the only one of the six convex regular 4-polytopes which is not the analogue of one of the five Platonic s ...

Type=[[W:Convex regular 4-polytope|Convex regular 4-polytope]]| Property_List=[[W:Convex polytope|convex]], [[W:isogonal figure|isogonal]], [[W:isotoxal figure|isotoxal]], [[W:isoh ...