Twenty-six is the only integer that is one greater than a square
(52 + 1) and one less than a cube (33 − 1).
Also:
- A rhombicuboctahedron, a truncated cuboctahedron, a quasirhombicuboctahedron, a small icosahemidodecahedron, a quasitruncated cuboctahedron, and a great icosahemidodecahedron have 26 faces.
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