Your task, is to combine wires in your mind. All wires are uniform and not custom, and you want to get the mass as large and as dense as possible.

First you might think, oh this is easy, just wrap a wire around other wires, then you have a dense segment of wire. But then an issue occurs. How do you connect multiple of those? Its basically a block. And you want it to be dense, which it is not if you have to tie two wires together, there is going to be some space. So simply tying wires to make a longer wire, to tie multiple blocks together wouldn't be efficient. You would have to come up with a precise dense pattern of wire you can repeat. Granted slamming the wire to bend it until its disfigured and one chunk of metal might work, your hands would bleed and it'd impede your work. You would need to make a machine out of wire to do it for you, which is not easy because the dense chunk requires denser chunks to form, and it may not be consistent.

So we need to manually design a type of cube which connects to other cubes, made out of wire. Our first design will more than likely not be pretty. But its better than nothing so you keep experimenting, and eventually, you have to update those. It will be difficult to find a method which is most dense, without having a tool to make the wires more dense. All you have are wires and your fingers.

Eventually you will probably find a method of interconnected wires, similar to fibers in wood, but because your fingers have limited mobility, that method will not work. Will probably need the cell/block method.

If you can make blocks though, and stack them, technically its dense and all you need to do is tie wire around it to ship it, but you want a method that can go on infinitely with maximum density that you can come up with. So, you cannot just tie blocks together, same issue as before. So what can you do, is connect blocks with parts made for densely connecting.

You come up with prototypes after hours of experimentation and research. Eventually you can connect blocks forward to make a pole. But thats not very space efficient. So eventually, you try and make wire ladders and tools, to aid your production of a pattern of constructing a singular block that can add on other blocks infinitely and its the densest model yet and can connect with other on all 6 sides.

But wires have a problem, because they are circular there is always going to be some inefficiency. So technically just making a stack of wires would suffice, but if you ever bumped it or transferred it there'd be much issue.

On one of your days off you just play with wires coming up with interesting patterns. Eventually you find a net-like pattern that you can surround the blocks with, then it hits you. A box, of course, granted the hinges may be less space efficient there might be a decent method to solve that.

So you make a box, and then theres an issue, how to transfer the larger cube into it, namely. Time to produce better transportation pulleys and such.

So now you also come up with a device to fill boxes just by pouring in wires, and it fills it nicely. You use a pendulum and precisely calculate how it must be, in order to evenly distribute all the wires. It fills like a clip in a gun. Thats a narrow box. You design a spiral wire, and cable, which aids your pulley systems and such, and makes a larger box more realistic for filling. You even design them in a pattern so they interconnect densely as they fall into place like weird 3-d puzzle piece cable with a screw-like pattern, that fits tightly into the box.

Then you realize you came up with an optimal method that can be repeated and your job is done. But then, what about 4+dimensional shapes?

https://www.newscientist.com/article/2082328-new-maths-proof-shows-how-to-stack-oranges-in-24-dimensions/

Has science gone too far?