# Is this a new pentagonal tiling?

I discovered this while thinking about the pentagonal tiling of type 15. Is this a new type of tiling? If it is, then I think I have found several other new pentagonal tilings like this one and the pentagonal tiling of type 15. They all have vertices which lie in the field $\mathbb{Q} (24)$. The internal angles for a pentagon in the image above are

$60,150,90,120,120$

And the lengths of the edges of a pentagon in the image above are

$1, \sqrt{3} ,1,1,2$

• Dang, that actually seems to tessellate. But I feel like there's a "mini-hexagon" in the top right that tessellates by itself... – pie314271 Mar 3 '17 at 5:55
• This seems to be just a combination of two tilings. If those two are known, does this count as something new? – Claudius Mar 3 '17 at 6:07
• According to Wikipedia, there are fifteen types of convex pentagons known to tile the plane monohedrally: en.wikipedia.org/wiki/Pentagonal_tiling This tiling is related to type 15. – six Mar 3 '17 at 6:15
• I added a new picture which shows how it is a combination of two tilings. – six Mar 3 '17 at 22:18