TITLE: What can we learn from the newly discovered monohedral convex pentagonal tiling?
QUESTION [11 upvotes]: Wikipedia: https://en.wikipedia.org/wiki/Pentagonal_tiling#Stein_.281985.29_and_Mann.2FMcLoud.2FVon_Derau_.282015.29
Media coverage: http://www.theguardian.com/science/alexs-adventures-in-numberland/2015/aug/10/attack-on-the-pentagon-results-in-discovery-of-new-mathematical-tile
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?

REPLY [4 votes]: What we can learn from (or be reminded of by) the new tiling, is just how hard it is to know whether we have all the tilings. According to Wikipedia, Kershner claimed to have found all pentagonal tilings in 1968, but then James found one in 1975, and Rice found three in 1977, and Stein found one in 1985, and now this new one.