great rhombicuboctahedron

noun

An Archimedean solid that is isogonal and has twenty-six regular faces (twelve square, eight hexagonal and six octagonal).

Meanings

noungreat rhombicuboctahedron (plural great rhombicuboctahedra or great rhombicuboctahedrons)

plural great rhombicuboctahedra · plural great rhombicuboctahedrons

  1. geometryAn Archimedean solid that is isogonal and has twenty-six regular faces (twelve square, eight hexagonal and six octagonal).

    The great rhombicuboctahedron can be made by truncating the cuboctahedron's vertices.

    2012, Edward S. Popko, Divided Spheres: Geodesics and the Orderly Subdivision of the Sphere, page 169
    2 more examples

    Figure 244 — the structure for this complicated design is the great rhombicuboctahedron, which consists of octagonal, hexagonal, and square faces.

    1977, Wucius Wong, Principles of Three Dimensional Design, page 70

    Zeolite A consists of truncated octahedra flanking the edges of a larger cube; they are connected along the edges by smaller cubes, and the truncated octahedra and cubes flank a great rhombicuboctahedron at the center (28).

    2005, M. Cahay, Nanoscale Devices, Materials, and Biological Systems: Fundamentals and Applications : Proceedings of the International Symposium, page 513

    Synonyms: truncated cuboctahedron

Synonyms & antonyms

nounAn Archimedean solid that is isogonal and has twenty-six regular faces (twelve square, eight hexagonal and six octagonal).

Origin

From great + rhombicuboctahedron, referring to the fact that, similarly to the rhombicuboctahedron, the 12 square faces lie in the same planes as the 12 faces of the rhombic dodecahedron, the dual of the cuboctahedron.

Full word history & related roots →

Translations

Italian cubottaedro troncato, grande rombicubottaedro
  • cubottaedro troncatopolyhedron with 12 square, 8 hexagonal and 6 octagonal faces
  • grande rombicubottaedropolyhedron with 12 square, 8 hexagonal and 6 octagonal faces
Cite this entry
APA

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

MLA

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

Chicago

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

Source: great rhombicuboctahedron on Wiktionary, CC BY-SA 4.0.