# Plane tessellation $6^2*3^2$

An article I am reading mentioned "the plane tessellation $6^2*3^2$", I tried looking it up and I found all sort of plane tessellations - but not $6^2*3^2$.

However, I did find information about Trihexagonal tiling which is a $(3.6)^2$ tessellation - are those the same?

I would appreciate any information (links are good too, a good picture would explain what tessellation this is) about this tessellation

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I presume they have to be the same - certainly a quick construction shows that no regular $6^23^2$ vertex arrangement can be extended uniformly across the plane. Tilings And Patterns lists a couple of 2-uniform tilings that include a $6^23^2$, for instance $(6^23^2; 3^6)$ which you can get by replacing every third hexagon of the regular hexagonal tiling by an arrangement of six triangles. –  Steven Stadnicki Mar 19 '12 at 21:17
@StevenStadnicki - so if I understand right, this is the tessellation : en.wikipedia.org/wiki/File:Trihexagonal_tiling_vertfig.png ? –  Belgi Mar 19 '12 at 21:20
well, the full tesselation is en.wikipedia.org/wiki/… - but yes, I suspect your article means $3 \cdot 6 \cdot 3 \cdot 6$. Do you have a link (to the article) for reference? –  Steven Stadnicki Mar 19 '12 at 21:31