truncated cube

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English[edit]

A truncated cube
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Noun[edit]

truncated cube (plural truncated cubes)

  1. (geometry) A polyhedron with eight triangular and six octagonal faces that is an Archimedean solid and can be constructed by truncating a cube at each vertex along each adjoining edge.
    • 2003, Saul Stahl, Geometry from Euclid to Knots, 2010, page 278,
      The truncation procedure that produced the truncated cube I can be applied to arbitrary polyhedra so as to obtain new polyhedra.
    • 2012, Cecilia Noguez, Ana L. González, 11: Localized Surface Plasmons of Multifaceted Metal Nanoparticles, Tapan K. Sau, Andrey L. Rogach (editors), Complex-shaped Metal Nanoparticles: Bottom-Up Syntheses and Applications, page 384,
      The truncated cubes are obtained by symmetrically edging the eight vertices of the cube by l × t, where l is the length of the cubes side and 0 < t ≤ 1/2. When t = 1/2, a cuboctahedron is obtained.
    • 2013, S. D'Agostino, Chapter 3: Size and Shape Dependence of Localized Surface Plasmon Resonances, Fabio Della Sala, Stefania D'Agostino (editors), Handbook of Molecular Plasmonics, page 152,
      In this subsection the optical behavior of different truncated cubes will be analyzed and compared to those of a cube and of a sphere of the same dimensions.
    • 2014, Walter Steurer, 1: Crystal Structures of Metallic Elements and Compounds, David E. Laughlin, Kazuhiro Hono (editors), Physical Metallurgy, page 20,
      Truncated cubes can be packed sharing their octagonal faces, the remaining voids are filled by octahedra (Figure 10(b)).