There are 112 remaining patterns which we divide into four cases below.

The first group are the nine Unique Factorization Domain patterns. If that does not mean anything to you, then consider the next group. An example of two of these are:

The second group are example of square divided into similar triangle. An example of two of these are:

The third group are examples of pattern in a strip. An example of two of these are:

The fourth group are examples of pattern with a centre and symmetry round that point. An example of two of these are:

The last group are examples of patterns with no symmetry of any of the properties above. An example of two of these are:

v47