This is a "hyperkube" and the kit to launch and assemble one is provided here: Hyperkube. It is constructed out of 16 x 16 x 16 structural fuselages (pretty big) and It has some rather special properties.
For any kerbonaut who gets one assembled (preferably in synchronous orbit), please do contribute a snapshot of it to this thread and relate your experience. (If there's sufficient interest, I'll provide a badge for participation.)
In addition, this thread is open to other designs for "hyperkubes"... Have fun and let's see what you've got!
Here's the ship; and what's left after construction has been completed:
The cupola/RA-100 module should be left docked to the hyperkube for normal operation (e.g. orbit adjustment) but I took it off for the title image.