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
Wikidata facts
- Subclass of
- uniform polyhedron
- Image
- Octagonal bipyramid transparent.svg
Show 5 more facts
- described by source
- Brockhaus and Efron Encyclopedic Dictionary
- Commons category
- Bipyramids
- studied by
- solid geometry
- maintained by WikiProject
- WikiProject Mathematics
- topic's main category
- Category:Pyramids and bipyramids
Sources (3)
via Wikidata · CC0
~18 min read
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.