bipyramid
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In geometry, a bipyramid, dipyramid, or double pyramid is a polyhedron formed by fusing two pyramids together base-to-base. The polygonal base of each pyramid must therefore be the same, and unless otherwise specified the base vertices are usually coplanar and a bipyramid is usually symmetric, meaning the two pyramids are mirror images across their common base plane. When each apex (, the off-base vertices) of the bipyramid is on a line perpendicular to the base and passing through its center, it is a right bipyramid; otherwise it is oblique. When the base is a regular polygon, the bipyramid i
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Vinony's link graph records 347 inbound references to bipyramid, and connects out to polyhedron, regular octahedron and Coxeter–Dynkin diagram.
It is catalogued under topics including Bipyramids and Polyhedra.
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- Octagonal bipyramid transparent.svg
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Encyclopedic overview
14 sectionsContents
- Definition and properties
- Related and other types of bipyramid
- Concave bipyramids
- Asymmetric bipyramids
- Scalene triangle bipyramids
- Scalenohedra
- Star bipyramids
- 4-polytopes with bipyramidal cells
- Other dimensions
- See also
- Notes
- Citations
- Works cited
- External links
In geometry, a bipyramid, dipyramid, or double pyramid is a polyhedron formed by fusing two pyramids together base-to-base. The polygonal base of each pyramid must therefore be the same, and unless otherwise specified the base vertices are usually coplanar and a bipyramid is usually symmetric, meaning the two pyramids are mirror images across their common base plane. When each apex (, the off-base vertices) of the bipyramid is on a line perpendicular to the base and passing through its center, it is a right bipyramid; otherwise it is oblique. When the base is a regular polygon, the bipyramid is also called regular.
== Definition and properties ==
Excerpted from Wikipedia’s “bipyramid” article, available under the CC BY-SA 4.0 licence.