Is this an instance of any existing convex pentagonal tilings? Inspired by Wikipedia's article on pentagonal tiling, I made my own attempt. 

I believe this belongs to the 4-tile lattice category, because it's composed of pentagons pointing towards 4 different directions. According to Wikipedia, 3 out of the 15 currently discovered types of pentagonal tiling belongs to the 4-tile lattice category (type 2, 4 & 6).
https://en.wikipedia.org/wiki/Pentagonal_tiling
I don't think my attempt is an instance of type 4 or 6, since in both type 4 & 6, any side of all pentagons overlaps with only one side of another pentagon, while in my attempt, half of the long sides overlap with two shorter sides.
At the same time, I can't figure out how my attempt is an instance of type 2... Please kindly offer your insight.
 A: The pentagon tiling problem is just settled by Michaël Rao: 
The list of $15$ types is
complete. See the Natalie Wolchover article in Quanta.

"Exhaustive search of convex pentagons which tile the plane": link.

A: 2 generalizations of the tiling I posted in the original question:



A: I helped work on the wikipedia article, and also can't identify this tiling as one of the 15. I agree its 2-isohedral, so not types 1-5, and its contraints don't appear to match the 2-isohedral types. I made an image copy and posted in the Wikipedia talk page:
https://en.wikipedia.org/wiki/Talk:Pentagonal_tiling#Mystery_convex_monohedral_type
A: Your tiling is 1-isohedral, according to wikipedia.
EDIT: Yoav points out that it is actually not 1-isohedral...

Reinhardt (1918) found the first five pentagonal tilings. These all
  share the property to be isohedral, or "tile transitive", meaning that
  the symmetries of the tiling can take any tile to any other tile (more
  formally, the automorphism group acts transitively on the tiles). By
  contrast, all subsequently found tilings are k-isohedral, with k>1.

Thus, your tiling, if not new, is one of these five. My guess is that it is p4, (wikipedia notation), and it looks very similar.
A: There are two questions here:
Q1) Which convex pentagons tile the plane?
Q2) What are all tilings of the plane by copies of a single convex pentagon?
The Wikipedia page you cite concerns Question 1 (though it could make this
more explicit); Q1 is contained in Q2, and likely more tractable:
once we know that a pentagon tiles the plane, it might still be hard
to describe all tilings.
That is the case for your pentagon, which has two parallel sides
and is thus contained in Type 1.  It is a special case of Type 1
that allows further tilings such as the one you found, but that's
a Q2 distinction and doesn't affect Q1.
