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The process of folding frogs
Folding frog is a classic mathematical problem, and its process is as follows:

First, a square piece of paper is folded diagonally into two equilateral right triangles.

Then, one of the right-angled triangles is folded into a triangle again, so that the two right-angled sides intersect and are parallel to the bottom.

Repeat the above steps until you can't continue folding. The shape obtained at this time is very similar to that of a crouching frog, so it is called a "folded frog".

In this process, every time you fold, the area of the square purple area is reduced by half, and the areas of the two triangular purple areas are increased, so no matter how many times you fold, the area of the square purple area is always equal to half of the initial area.

At the same time, after folding, due to the special folding method, the height and length of each triangle are equal, so they are all isosceles triangles, that is, the angles of the two bases are equal, and the vertex angle of each triangle is 60 degrees. So the bottom of the whole folded frog is also a regular hexagon.