Repeat patterns

The remaining patterns number 2502 are all wallpaper patterns and repeat in one of 17 ways. The most important characteristic is that of rotations. Hence we divide these patterns according to the maximal rotation present.


The first group are examples of patterns with no rotations. An example of two of these are:
The number in this group is 58, which is 2% of the total. For the next question, see page.
The second group are examples of patterns with rotations of order 2. An example of two of these are:
Note that some pattern have rotations of order 2 and 4 - these are excluded here. The number in this group is 515, which is 20% of the total. For the next question, see page.
The third group are examples of patterns with rotations of order 3. An example of two of these are:
Note that some pattern have rotations of order 3 and 6 - these are excluded here. The number in this group is 65, which is 2% of the total. For the next question, see page.
The fourth group are examples of patterns with rotations of order 4. An example of two of these are:
The number in this group is 1272, which is 50% of the total. For the next question, see page.
The fifth group are examples of patterns with rotations of order 6. An example of two of these are:
The number in this group is 592, which is 23% of the total. For the next question, see page.

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