Hexagon TruthA truncated octahedron or fourth-order #permutohedron inscribed in a tesseract.
Though a three-dimensional polyhedron, the vertices of the truncated octahedron can be embedded in 4-space as all 24 permutations of the coordinates (1, 2, 3, 4).
This is analogous to inscribing a #hexagon — the third-order permutohedron — in the middle slice of a cube viewed vertex-on.
Like both the illustrious hexagon and the truncated octahedron, every higher-order permutohedron can also form a space-filling tessellation in its respective space. Amazing!