triakis icosahedron

noun

A Catalan solid with 60 isosceles triangle faces, 90 edges and 32 vertices, being the dual of the truncated dodecahedron.

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Meanings

nountriakis icosahedron (plural triakis icosahedra)

plural triakis icosahedra

  1. geometryA Catalan solid with 60 isosceles triangle faces, 90 edges and 32 vertices, being the dual of the truncated dodecahedron.

    For example, with no hint of justification, it is stated (page 118) that "the icosahedron contains as much interior volume relative to surface area as is possible with only one type of face"; in fact, the triakis icosahedron does noticeably better in that respect.

    1942, American Scientist, volume 76, page 95
Cite this entry
APA

triakis icosahedron. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/triakis%20icosahedron

MLA

“triakis icosahedron.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/triakis%20icosahedron. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “triakis icosahedron,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/triakis%20icosahedron.

Source: triakis icosahedron on Wiktionary, CC BY-SA 4.0.