Take this a a collection of patterns, put together, it is not supposed to look nice as a whole.
Staying with quads, you can try
before looking at the answer, or a more sophisticated one:
and its solution.
Do the same exercice on a triangular lattice
and try to discover new patterns that you like.
You are going to learn how to use them in a bigger picture. The key notion is encapsulation. But first try and understand how to extract a graph from a knot.
They are now on the 
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