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That would be the rhombicuboctahedron. See links. Why don't I use the word 'rhombicuboctahedron' in the link names? Because there is a 15 letter limit to words in link names!
That would be a rhombicuboctahedron. (Could use a reference cited here.)
A 26-sided shape is called a rhombicuboctahedron. It is known by other names such as snub square antiprism, elongated square gyrobicupola, and 26-agon.
10 faces 10 faces
A hexahedron has 6 faces.