Patterns with reflections and rotations of order 4, but no squares

The number of tilings is still large with 450 to choose from. Hence we need another property to reduce the number.

The property is the existance of an 8-pointed star - these usually have a vertex angle of 45 or 90 degrees. An example off such a pattern is:

The remaining ones have no such 8-pointed star. An example of this is

Now you must choose:

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