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Does anyone know how to tile the plane with squares and equilateral triangles and three vertices?

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What does "three vertices" mean? –  André Nicolas Aug 21 '12 at 2:13
@AndréNicolas:You can look for a definition on wikipedia or on math books about tiling. –  Vassilis Parassidis Aug 21 '12 at 2:30
The page "three vertices" does not exist.‌​ I think André knows perfectly well what the words "three" and "vertices" mean. The question is what you mean by "three vertices" in the context of your tiling. Any tiling involving squares and triangles will have many vertices. Which three are you referring to? (P.S. I think your attitude is not going to encourage many people to want to answer your question.) –  Rahul Aug 21 '12 at 2:51
Sorry, Vassilis, you're still not speaking Mathematics. A vertex is a point, not a number of degrees, so how can one vertex differ from another one by a number of degrees? –  Gerry Myerson Aug 21 '12 at 4:26
There is an art to understanding Vassilis. I believe this is an extension to a pair of comments he wrote to me yesterday. When he uses "three vertices," I think he means "3-uniform," as is described at the end of this wiki. –  mixedmath Aug 21 '12 at 5:56

1 Answer 1

Yes. Here is an example of one way with the three types of vertices indicated.

enter image description here

EDIT I should include the source, as I did not make this picture. Using some clever googling, I arrived at the lesson plans of Redmond High School geometry teacher Scott Brown, specifically here. (I guess all that research practice has come in handy somehow...)

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This picture est belle! –  FrenzY DT. Aug 21 '12 at 7:22
@mixedmath:Finally we understand each other.Periodic tilings repeat like wallpaper.Each tiling contains a <seed> the smallest unit that the tiling as a whole is a multiple copy of.I took this definition from a book is this definition correct?The tiling you present is periodic? –  Vassilis Parassidis Aug 21 '12 at 18:31

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