It seems that the detail is not yet published.

For those who do not see any mathematics in the question, here are two possibilities for an answer:

- Based on the published information, is there any property that is not present in the previously known tilings?
- Does this tiling bring any new insight on the pentagonal tilings? How does it help the full classification?

withoutcontinuous parameters); and some pentagons have uncountably many tilings (most easily, the pentagons that tile an infinite strip). Neither of these is what you meant, but it takes a bit of care to formulate the intended question. $\endgroup$ – Noam D. Elkies Aug 24 '15 at 22:47allpossible topologies of tilings (of pentagons) and so settle this question once and for all. $\endgroup$ – Steven Stadnicki Aug 24 '15 at 23:14