Rhombitrioctagonal tiling

At each vertex of the tiling there is one triangle and one octagon, alternating between two squares.

Similar to the Euclidean rhombitrihexagonal tiling, by edge-coloring there is a half symmetry form (3*4) orbifold notation.

The octagons can be considered as truncated squares, t{4} with two types of edges.

In the limit, where the rectangles degenerate into edges, an order-8 triangular tiling results, constructed as a snub tritetratrigonal tiling, .

This tiling is topologically related as a part of sequence of cantellated polyhedra with vertex figure (3.4.n.4), and continues as tilings of the hyperbolic plane.