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An equilateral polygon with suitable angles can be decorated with regular polygons, as drawn in brown in figure 6 below. In this examples, the angle between any two sides of a green frame polygon is a multiple of 36 degrees. A regular decagon is centered on each vertex of the frame.

figure 6
6a6b
6c6d
6e6f
6g

This configuration works in principle, but two decagons overlap.

The frame in figure 7 below shows several possible variations:

figure 7

Figure 8a is an ordinary uniform polygon ring. It is shown for constrast with figure 8b, where each heptagon has been replaced by a heptagram of Schläfli symbol {7, 2}. For clarity, the heptagrams are drawn slightly undersize, and in alternating colors.

figure 8a figure 8b

Figure 8c, at 1.5 times the usual scale, has 14-gons decorating a 7-sided frame. Inner sides are not drawn doubled because of congestion.

figure 8c figure 8d figure 8e
4 inner sides 2 inner sides 0 inner sides