additive cube

Hi All,

Please I need to create fractal additive cube or cuboid (something like Menger cube but using addition rather than subtraction). I don't know which of them will achieve the goal in applying the fractal rule on it; cube or cuboid. However it will be much effective if the rule could be possibly applied on cuboid.

the idea is to divide each polygon of the cube into 9 polygons then generate a cube from the Lower middle polygon and repeat the rule in the new cube generated.

I prefer using ghpython in this recursive process.

but rabbit and hoopsnake are welcomed to try too.

kindly find attached the sketches of the idea

first photo is the general rule of additive cube recursion

second photo is my target to do with scripting

Thank you dear friends in advance