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 | |
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6a | 6b |
6c | 6d |
6e | 6f |
6g | |
This configuration works in principle, but two decagons overlap. |
The frame in figure 7 below shows several possible variations:
figure 7 |
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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 It is shown for constrast with figure 8b, where each heptagon has been replaced by a heptagram of Schläfli symbol {7, 2}.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 |
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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 |
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4 inner sides | 2 inner sides | 0 inner sides |