Repeating and kites patterns

There are 2433 repeating patterns which includes those involving kites. A kite is a four sided polygon those edges in cyclic order are AABB which the length of A not equal to that of B.
Some patterns kites joined together to form a regular polygon or a regular star polygon. If a pattern has such kites, but no regular polygons or star polygons, then these patterns are listed here. An example of a pattern with kites forming stars, but not regular stars formed without kites is:
An example of the usual form of repeating pattern including kites are stars is:
Now you must choose: