Calculating the fractal dimension of a Romanesco Broccoli

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It has been quite a while since I've had some introductions to fractal geometry, but only on special cases, e.g., the Sierpinski triangle and other self similar fractals.

Now I have challenged myself to calculate the fractal dimension of the romanesco broccoli, since it has some self similarity. It is illustrated by the images below:

Behold the Romanesco Broccoli in all it's glory!

Side view for more information.

So, my request here is for some references to help me with this goal. If you want to answer with a hint or an important step on this kind problem it is also welcome.

Thanks for the attention and have a good day!