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bipyramid
EntityQ2076140· pop 29· linked from 347 articles

Also known as dipyramid

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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Encyclopedic overview

14 sections
Contents
  • 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.

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