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To name a tessellation, simply
work your way around one vertex counting the number of sides
of the polygons that form that vertex. The trick is to go
around the vertex in order so that the smallest numbers
possible appear first.
That's why we wouldn't call our
3, 3, 3, 3, 6
tessellation a 3, 3, 6, 3, 3!
Here's another
tessellation made up of hexagons and triangles.
Can you see why
this isn't an official semi-regular tessellation?

It breaks the
vertex rule! Do you see where?
Here are some tessellations
using squares and triangles:
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3, 3, 3, 4,
4
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3, 3, 4, 3,
4
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Can you see why this one won't
be a semi-regular tessellation?

MORE
SEMI-REGULAR
TESSELLATIONS
What others
semi-regular tessellations can you think of?
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