In geometry, the hexaoctagonal tiling is a uniform tiling of the hyperbolic plane.
Removing the mirror between the order 2 and 4 points, [8,6,1+], gives [(8,8,3)], (*883).
Removing the mirror between the order 2 and 8 points, [1+,8,6], gives [(4,6,6)], (*664).
The dual tiling has face configuration V6.8.6.8, and represents the fundamental domains of a quadrilateral kaleidoscope, orbifold (*4343), shown here.
Adding a 2-fold gyration point at the center of each rhombi defines a (2*43) orbifold.