Octahedron

Pronunciation: /ˌɒk.təˈhi.drən/ Explain

A rotating eight-sided polyhedron.
Figure 1: Regular Octahedron.

A octahedron is any eight sided polyhedron.[1] The sides of a regular octahedron are congruent equilateral triangles.

A geometric net is a 2-dimensional drawing that can be cut and folded into a polyhedron. Table 1 has links to printable nets that you can make into octahedra.

Geometric Nets of Octahedra
ImageNameURL
thumbnail image of a net of a regular octahedronRegular Octahedron or Square Dipyramidnet_regular_octahedron.pdf
thumbnail image of a net of a heptagonal pyramidHeptagonal Pyramidnet_heptagonal_pyramid.pdf
thumbnail image of a net of a hexagonal prismHexagonal Prismnet_hexagonal_prism.pdf
thumbnail image of a net of a square trapezohedronSquare Trapezohedronnet_square_trapezohedron.pdf
thumbnail image of a net of a triangular cupolaTriangular Cupolanet_triangular_cupola.pdf
thumbnail image of a net of a truncated tetrahedronTruncated Tetrahedronnet_truncated_tetrahedron.pdf
Table 1: Octahedron nets

References

  1. McAdams, David E.. All Math Words Dictionary, octahedron. 2nd Classroom edition 20150108-4799968. pg 129. Life is a Story Problem LLC. January 8, 2015. Buy the book
  2. Stöcker, K.H.. The Elements of Constructive Geometry, Inductively Presented. pp 48-49. Translated by Noetling, William A.M, C.E.. www.archive.org. Silver, Burdett & Company. 1897. Last Accessed 9/5/2018. http://www.archive.org/stream/elementsofconstr00noetrich#page/48/mode/1up. Buy the book

Cite this article as:

McAdams, David E. Octahedron. 12/21/2018. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/o/octahedron.html.

Image Credits

Revision History

12/21/2018: Reviewed and corrected IPA pronunication. (McAdams, David E.)
9/5/2018: Removed broken links, updated license, implemented new markup. (McAdams, David E.)
12/31/2009: Added "References". (McAdams, David E.)
12/21/2009: Added "References". (McAdams, David E.)
3/11/2009: Added 'congruent' to the definition of a regular octahedron. (McAdams, David E.)
10/8/2008: Initial version. (McAdams, David E.)

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