- Not all arrangements of regular polygons create semi-regular tessellations.
- A semi-regular tessellation is uniform but not regular.
Among the eight possibilities of semi-regular tessellations, this example is characterized by the n-tuple (3, 3, 4, 3, 4). This n-tuple indicates, in the given order, the number of sides in each of the regular polygons that share the same vertex in the tessellation.
(3, 3, 4, 3, 4) : The regular polygons found in a clockwise direction about the vertex indicated by the black dot are a triangle (3), a triangle (3), a square (4), a triangle (3) and a square (4). The same applies to all the vertices of this tessellation.