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Combination of Techniques (1/2)
 

We can use combinations of the modification techniques to produce excellent tilings. Here is one example:

Step 1

The demiregular tessellation 3.4.6.4 / 3.4.4.6

 

Step 2

Applying the midpoint technique to each polygon

 

Step 3

Removing the original tessellation

 

Step 4

Coloring the "empty spaces"

 

Step 5

Applying the diagonal technique to the hexagons (only a few of the diagonals are drawn)

 

Step 6

Applying the joining technique

 

Step 7

Applying the joining technique again

 

Step 8

Applying the joining technique yet again

 

Step 8

Applying the joining technique a final time

 

Step 9

The final tessellation shown at a smaller scale

 

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TemplatesNow you try! Start from a regular, semiregular, or demiregular tessellation and apply one or more of these techniques to create your very own unique tessellation.
 

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