truncated cube

plural truncated cubes

1. geometryA 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.

   Truncated cubes can be packed sharing their octagonal faces, the remaining voids are filled by octahedra (Figure 10(b)).

   2014, Walter Steurer, “1: Crystal Structures of Metallic Elements and Compounds”, in David E. Laughlin, Kazuhiro Hono, editors, Physical Metallurgy, page 20

   3 more examples

   The truncation procedure that produced the truncated cube I can be applied to arbitrary polyhedra so as to obtain new polyhedra.

   2003, Saul Stahl, Geometry from Euclid to Knots, published 2010, page 278

   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.

   2012, Cecilia Noguez, Ana L. González, “11: Localized Surface Plasmons of Multifaceted Metal Nanoparticles”, in Tapan K. Sau, Andrey L. Rogach, editors, Complex-shaped Metal Nanoparticles: Bottom-Up Syntheses and Applications, page 384

   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.

   2013, S. D'Agostino, “Chapter 3: Size and Shape Dependence of Localized Surface Plasmon Resonances”, in Fabio Della Sala, Stefania D'Agostino, editors, Handbook of Molecular Plasmonics, page 152