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Truncated cuboctahedron
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==Orthogonal projections== {{multiple image | align = right | width = 120 | direction=vertical | image1 = Polyhedron great rhombi 6-8 from blue max.png | image2 = Polyhedron great rhombi 6-8 from yellow max.png | image3 = Polyhedron great rhombi 6-8 from red max.png }} The truncated cuboctahedron has two special [[orthogonal projection]]s in the A<sub>2</sub> and B<sub>2</sub> [[Coxeter plane]]s with [6] and [8] projective symmetry, and numerous [2] symmetries can be constructed from various projected planes relative to the polyhedron elements. {|class=wikitable |+ Orthogonal projections |- !Centered by !Vertex !Edge<br>4-6 !Edge<br>4-8 !Edge<br>6-8 !Face normal<BR>4-6 |- !Image |[[File:Cube_t012_v.png|100px]] |[[File:Cube_t012_e46.png|100px]] |[[File:Cube_t012_e48.png|100px]] |[[File:Cube_t012_e68.png|100px]] |[[File:Cube_t012_f46.png|100px]] |- align=center !Projective<br>symmetry |[2]<sup>+</sup> |[2] |[2] |[2] |[2] |- !Centered by !Face normal<BR>Square !Face normal<BR>Octagon !Face<br>Square !Face<br>Hexagon !Face<br>Octagon |- !Image |[[File:Cube_t012_af4.png|100px]] |[[File:Cube_t012_af8.png|100px]] |[[File:Cube_t012_f4.png|100px]] |[[File:3-cube_t012.svg|100px]] |[[File:3-cube_t012_B2.svg|100px]] |- align=center !Projective<br>symmetry |[2] |[2] |[2] |[6] |[4] |}
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