plesiohedron

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noun

A special kind of space-filling polyhedron, defined as the Voronoi cell of a symmetric Delone set. Three-dimensional Euclidean space can be completely filled by copies of any one of these shapes, with no overlaps.

“The plesiohedra include such well-known shapes as the cube, hexagonal prism, rhombic dodecahedron, and truncated octahedron.”

Scrabble 18
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Meanings

nounplesiohedron (plural plesiohedra)

plural plesiohedra

  1. geometryA special kind of space-filling polyhedron, defined as the Voronoi cell of a symmetric Delone set. Three-dimensional Euclidean space can be completely filled by copies of any one of these shapes, with no overlaps.

    The plesiohedra include such well-known shapes as the cube, hexagonal prism, rhombic dodecahedron, and truncated octahedron.

Origin

From plesio- + -hedron.

Full word history & related roots →
Cite this entry
APA

plesiohedron. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/plesiohedron

MLA

“plesiohedron.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/plesiohedron. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “plesiohedron,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/plesiohedron.

Source: plesiohedron on Wiktionary, CC BY-SA 4.0.