Octahedron

Pronunciation: /ˌɒk təˈhi drən/ ?

Rotating regular octahedron.
Figure 1: Regular Octahedron Image courtesy Wikipedia.org.

A octahedron is any eight sided polyhedron.[1][2] 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.

Octahedron Nets
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. Stöcker, K.H.. The Elements of Constructive Geometry, Inductively Presented, pp 48-49. Translated by Noetling, William A.M, C.E.. Silver, Burdett & Company, 1897. (Accessed: 2009-12-31). http://www.archive.org/stream/elementsofconstr00noetrich#page/48/mode/1up.
  2. octahedron. http://wordnet.princeton.edu/. WordNet. Princeton University. (Accessed: 2011-01-08). http://wordnetweb.princeton.edu/perl/webwn?s=octahedron&sub=Search+WordNet&o2=&o0=1&o7=&o5=&o1=1&o6=&o4=&o3=&h=.

Cite this article as:


Octahedron. 2009-12-31. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/o/octahedron.html.

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Revision History


2009-12-31: Added "References" (McAdams, David.)
2009-12-21: Added "References" (McAdams, David.)
2009-03-11: Added 'congruent' to the definition of a regular octahedron (McAdams, David.)
2008-10-08: Initial version (McAdams, David.)

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