Constructible polygon

Imagine you have a piece of paper and you want to make a shape with it. A constructible polygon is a special shape that you can make by folding and cutting the paper into smaller shapes. But there are some rules you have to follow to make sure it's constructible.

First, you can only use a ruler and a compass to make your folds and cuts. You can draw straight lines and circles with your tools, but you can't measure the length of the lines or the size of the angles. You have to use your eyes and your tools to make sure everything is just right.

Second, you have to start with a basic shape that is easy to make. For example, you could start with a square or a triangle. Then you can fold and cut the paper to make more shapes, like rectangles and hexagons. But you can only make shapes that have sides that are the same length as the sides of your starting shape, or a combination of those lengths.

So, a constructible polygon is a shape that you can make from basic shapes with just a ruler and compass, using the rules of folding and cutting. It's like making a puzzle, but with math and geometry instead of pictures. It can be a fun and challenging way to test your problem-solving skills!