In the case of flowsnakes composition of IFSs generates new tiles for the combination of the cis- and trans-flowsnakes of a particular order.

The number of elements increases rapidly. There are two novel tiles with 49
(7^{2}) elements, 6 with 343 (7^{3}) elements, and 2 with 361
(19^{2}) elements. Assuming that the construction remains productive
there are 2 with 1369 (37^{2}) elements, 12 with 2401 (7^{4})
elements, 2 with 6561 (81^{2}) elements, 6 with 5859 (19^{3})
elements, and so on. Composing flowsnakes of different orders gives 8 tiles
with 133 (7×19) elements, 8 with 259 (7×37) elements, and so on.

If the cis-flowsnakes are denoted **G _{n}** and the
trans-flowsnakes

The order 133 tiles are **G _{1}.G_{2}**,

The order 343 tiles are **G _{1}.G_{1}.G_{1}**,

The order 361 tiles are **G _{2}.G_{2}**

© 2017, 2018 Stewart R. Hinsley