I don't understand what you mean by "the cuboid shape".
Are you trying to determine the max number of parts that space is divided into by n planes? ...Or is it something else?
I am investigating the maximum number of parts that are obtained with n cuts.
I have downloaded Autograph and Archimedes Geo 3D, and trawled through the tutorials and most of the manual - but am still unable to find a way to calculate the number of enclosed parts after inserting planes into the cuboid shape.
As you can probably imagine, it's tough count the number of parts in a 3D shape after 4 cuts!
If you know how to do this, I'd appreciate any advice. Or, if alternative geometry software can achieve this, please recommend (with instructions if possible!).
Thanks a lot for taking your time to read this!!