A - How to divide polygon into equal parts

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I have a polygon formed by the vertices

> ver
  id      x       y
1  1 806648 9719778
2  2 806887 9719588
3  3 797995 9710368
4  4 797745 9710547

when plotting comes out the following picture

inserir a descrição da imagem aqui

that is , would be a polygon type this

inserir a descrição da imagem aqui

I would like to divide it into equal parts and extract the vertices to have a set of points. The polygon would have to look like this below (ta a little wrong, because I drew manually, not being symmetrical)

inserir a descrição da imagem aqui

  • What exactly does "equal parts"? "equal parts" mean identical areas? Or should the form of these "equal parts" always be the same? Will the polygon always be a quadrilateral? Or rather: will it always be a rectangle? Are the opposite sides of this quadrilateral parallel two by two? For example, it is not trivial for me to visualize how to divide a trapeze into 5 identical parts. Be more specific in your question that maybe someone might have an idea to help you.

  • My area is a rectangle with a width of 300 meters and a length of 12 km. However, it is rotating at an angle x, as shown in the image above. I would like to divide it in such a way that the width remained 300 m and compliance with identical values. For example 12 rectangles 300 m wide x 1000 m long. Always taking into account that I must do this for the angulation that it follows.

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