page_title: 6-6 duoprism
section_title: Related complex polygons
hierarchical_section_title: 6-6 duoprism / Related complex polygons
context_page_description: In geometry of 4 dimensions, a 6-6 duoprism or hexagonal duoprism is a polygonal duoprism, a 4-polytope resulting from the Cartesian product of two hexagons.
  It has 36 vertices, 72 edges, 48 faces, in 12 hexagonal prism cells. It has Coxeter diagram, and symmetry [[6,2,6]], order 288.
context_section_description: The regular complex polytope ₆{4}₂, , in  has a real representation as a 6-6 duoprism in 4-dimensional space. ₆{4}₂ has 36 vertices, and 12 6-edges. Its symmetry is ₆[4]₂, order 72. It also has a lower symmetry construction, , or ₆{}×₆{}, with symmetry ₆[2]₆, order 36. This is the symmetry if the red and blue 6-edges are considered distinct.
caption: Orthogonal projection shows 6 red and 6 blue outlined 6-edges