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| {{About|the polyhedron defined by two triangles and three trapezoid faces|the wardrobe malfunction|Wedgie}}
| | Hi there. Let me start by introducing the author, her title is Myrtle Cleary. California is exactly where I've usually been residing and I love every working day residing right here. My day occupation is a librarian. His spouse doesn't like it the way he does but what he truly likes doing is to do aerobics and he's been doing it for quite a whilst.<br><br>My web blog: [http://www.siccus.net/blog/15356 std home test] |
| {| class=wikitable align="right"
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| !bgcolor=#e7dcc3 colspan=2|Wedge
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| |align=center colspan=2|[[File:Geometric_wedge.png|240px|Square Pyramid]]
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| |bgcolor=#e7dcc3|Faces||2 [[triangle]]s,<BR>3 [[quadrilateral]]s
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| |bgcolor=#e7dcc3|Edges||9
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| |bgcolor=#e7dcc3|Vertices||6
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| |bgcolor=#e7dcc3|[[Dual polyhedron]]||[[trigonal bipyramid]]
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| |bgcolor=#e7dcc3|Properties||convex
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| |}
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| In [[solid geometry]], a '''wedge''' is a [[polyhedron]] defined by two [[triangle]]s and three [[trapezoid]] faces. A wedge has five faces, nine edges, and six vertices.
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| A wedge is a subclass of the [[prismatoid]]s with the base and opposite ridge in two parallel planes.
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| A wedge can also be classified as a [[digon]]al [[Cupola (geometry)|cupola]].
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| Wedges can be created from decomposition of other polyhedra. For instance, the [[dodecahedron]] can be divided into a central [[cube]] with 6 wedges covering the cube faces. The orientations of the wedges are such that the triangle and trapezoid faces can connect and form a regular [[pentagon]].
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| A [[triangular prism]] is a special case wedge with the two triangle faces being translationally congruent.
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| Comparisons:
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| * A wedge is a [[parallelepiped]] where a face has collapsed into a line.
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| * A quadrilaterally-based [[pyramid]] is a wedge in which one of the edges between two trapezoid faces has collapsed into a point.
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| For a rectangle based wedge, the volume is
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| :<math>V = bh\left(\frac{a}{3}+\frac{c}{6}\right),</math>
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| where the base rectangle is ''a'' by ''b'', ''c'' is the [[Apex (geometry)|apex]] edge length parallel to ''a'', and ''h'' the height from the base rectangle to the apex edge.
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| {| class=wikitable width=400
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| |+ Special cases
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| |- align=center
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| |[[File:Triangular prism wedge.png|160px]]<BR>[[Triangular prism]]<BR>(Parallel triangle wedge)
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| |[[File:Tet-oct-wedge.png|160px]]<BR>A wedge constructed from 8 triangular faces and 2 squares. It can be seen as a [[tetrahedron]] [[Augmentation (geometry)|augmented]] by two [[square pyramid]]s.
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| |}
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| ==References==
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| * Harris, J. W., & Stocker, H. "Wedge". §4.5.2 in ''Handbook of Mathematics and Computational Science''. New York: Springer, p. 102, 1998. ISBN 978-0-387-94746-4
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| ==External links==
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| * {{MathWorld | urlname= Wedge | title= Wedge }}
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| {{Polyhedron navigator}}
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| [[Category:Polyhedra]]
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| [[Category:Prismatoid polyhedra]]
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| {{geometry-stub}}
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Hi there. Let me start by introducing the author, her title is Myrtle Cleary. California is exactly where I've usually been residing and I love every working day residing right here. My day occupation is a librarian. His spouse doesn't like it the way he does but what he truly likes doing is to do aerobics and he's been doing it for quite a whilst.
My web blog: std home test