 It is the Coxeter group formula_2 [3n-3,1,1] of order formula_3, and is generated by permutations of the coordinate axes and reflections along "pairs" of coordinate axes.Constructions as alternated orthotopes have the same topology, but can be stretched with different lengths in "n"-axes of symmetry.The rhombic disphenoid is the three-dimensional example as alternated cuboid.