Originating from one vertex there are 27 triangles
Triangles make 3 sided shapes that have 3 interior angles that add up to 180 degrees
6 sided and 3 sided shapes respectively
the shape that can make two smaller triangles is parallelogram.
the star of david
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They can form into a 4 sided quadrilateral if they are the same size.
You can't make a 4 sided shape with a total of 207