/lounge/ - Lounge

What are the shortest method to make correct line/dot marks to represent 3d forms like image here that is mathemathically precise...basically with legnths lbeing an x cm, and one can imagine fictional grid thus assumes the direction of length...
how does this then gets calculated or drawn
especially in upside down like pic where the actual pciture rarely seen in and involving various shapes like picture and everything you can see in it being wrong...thus the question is about, making correct lineworks based on the possible form and angle, and thus projected length?