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Super Square shifted cuboctahedron
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A Square-1 with four layers truncated on its eight corners. Although similar this is no true cuboctahedron.

At first sight this looks like another cuboctahedron in this case made from a Square-1 with four layers. The second sight reveals the difference. The cuts start an end on the top and bottom faces not in the middle of the edges but they are somewhat shifted away (hence the name) to where the cuts between the pieces meet the edges of the solid. As result the top and bottom quadrilateral are squares but the other four are true rectangles.

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Contributors

Thank you to the following people for their assistance in helping collect the information on this page: Andreas Nortmann, Lawrence Cuthbert.

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