| Demiregular tessellations limit the number of different polygon
arrangements to exactly two or three. If we remove this limitation
and consider tessellations of regular polygons with more than
three different polygon arrangements, the number of possibilities
becomes infinite.
Here is an example:
There are four different polygon arrangements: around vertex 1
is 4.6.12, around vertex 2 is 3.3.4.12, around vertex 3 is 3.3.3.3.6,
and around vertex 4 is 3.4.4.6. We could name this tessellation 4.6.12 / 3.3.4.12 / 3.3.3.3.6
/ 3.4.4.6
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Here is another example even more complex than the last:
There are six different polygon arrangements: around vertex 1
is 3.6.3.6, around vertex 2 is 3.4.4.6, around vertex 3 is 3.4.6.4,
around vertex 4 is 3.3.4.12, around vertex 5 is 3.3.3.4.4, around
vertex 6 is 4.4.4.4. We could call this tessellation 3.6.3.6
/ 3.4.4.6 / 3.4.6.4 /3.3.4.12 / 3.3.3.4.4 / 4.4.4.4
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As you may see, we can increase the complexity of our tessellations
of regular polygons as much as we wanted. For example, we can
always make the tessellation design larger and more complex. Try
creating some unique ones of your own!

For templates of regular polygons that you can print and cut out,
proceed to the templates page:
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