How to draw golden triangles ?

How to draw golden triangles and polyores on squared paper ?

As the golden ratio is an irrational number, it's impossible to draw golden triangles using a squared paper. However the following method shows how to do that with sufficient approximation : I used such draws to find many solutions to the problems about the polyores. Even so we must keep in mind that they are only approximations, otherwise we can make mistakes or find paradoxes.

The side with length 1 will be drawn by 3 different ways :

 

The side with length j will be drawn by 3 different ways :

 

Below, the 2 golden triangles drawn with this understanding :

 

And, below, 2 examples of polyores :

 

 

And finally a solution to the pentagon with side j :

 

La Ora Stelo