# truncated cube

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## English[edit]

### Noun[edit]

**truncated cube** (*plural* **truncated cubes**)

- (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.

- The truncation procedure that produced the
**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.

- The
**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.

- In this subsection the optical behavior of different
**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)).