Drafting triangle with vertices of hexagon grid

I am new to grasshopper and was struggling with creating a triangular connection between the scaled hexagon grid. I want to join vertices of the consecutive hexagons within the given grid to form triangles as shown in the picture (in blue). I am attaching a base script with the scaled hexagon grid that I started with.
Please help.
triangle within hexagon.gh (16.6 KB)

this might be a good starting point.
triangle within hexagon.gh (19.2 KB)

I don’t have the time to work something to remove the extra triangles.

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This could be one way.

triangle within hexagon_re.gh (13.8 KB)

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