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(10/3) and (10/4) polygons

Literature uses expressions as (10/3) and (10/4). The number 10 stands for a regular decagon. In both midpoints of edges are connected by segments. The second number indicates how. From each midpoints one starts counting. In a (10/3) decagon each midpoint is connected with the 3rd midpoint. In a (10/4) decagon one counts until 4.
After connecting the right midpoints one constructs a 10-pointed star inside. At the outside of the star kites are drawn between the points of the first star to create two 10-pointed stars into each other. In a tiling of  decagons, surrounded by pentagons a patterns of 10- and 5-pointed stars is created. Below you can see a pattern with (10/4) stars.