This is a picture containing 12 kinds of polygons, some of which also could also be considered a star.
The main goal of this is to show that the more points a regular polygon or star has, the closer it becomes to being a circle. The circle is in the middle because I like to have it included and because something should be in the middle.
There is also a dodecagon in the vector file which is what held the 12 polygons in the proper place.
this is one of the coolest things yet. It almost competes with the chessboard in it's awesomeness. Each of the shapes I could go on forever about but it would be more important to describe how I did it.
Starting with the top going clockwise, I made the 4 supreme regular polygons. They are the most well known polygons.
The next four shapes I'm unsure if they have a name, but they are created by the gaps between different numbers of circles. They may not be as well known as the regular polygons. Since they are curved instead of straight edged, they could be called polycurves.
Last but certainly not least, the circle is in the center. It's not a polygon or a polycurve, but it's the most commonly occuring shape in the universe as far as I know. Also I had to include it since the polycurves were made from circle gaps.
Apparently, it is possible to make a perfect icosagon which is a 20 sided polygon.
This shows my common method I use where I first make a square, and then rotate them to form a shape. In fact, I could be using the polygon tool but it's kinda neat this way.
More...
I am very proud of this picture. For so long I've been trying to find a way to fit regular triangles into a square. I found that it works if I rotate the triangles just right.
I also added the red green and blue triangles just to fill the extra space.
These are the heptagon,octogon, and nonagon, as well as their polycurves. I felt sorry for them because they weren't included along with my 9 supreme shapes for certain reasons.