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In geometry, a vertex arrangement is a set of points in space described by their relative positions. They can be described by their use in polytopes. For example, a ''square vertex arrangement'' is understood to mean four points in a plane, equal distance and angles from a center point. Two polytopes share the same ''vertex arrangement'' if they share the same 0-skeleton. == Vertex arrangement == The same set of vertices can be connected by edges in different ways. For example, the ''pentagon'' and ''pentagram'' have the same ''vertex arrangement'', while the second connects alternate vertices. A ''vertex arrangement'' is often described by the convex hull polytope which contains it. For example, the regular ''pentagram'' can be said to have a (regular) ''pentagonal vertex arrangement''. , which is not the same as that of the quadrilateral; so here, the convex hull is not a way to describe the vertex arrangement. |} Infinite tilings can also share common ''vertex arrangements''. For example, this triangular lattice of points can be connected to form either isosceles triangles or rhombic faces. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Vertex arrangement」の詳細全文を読む スポンサード リンク
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