That is artistic license, and you know it. Do you have access to a tesseract? If so why the hell are you on HN?
Edit to add: And on further reflection, this won’t save you. Because the heat production in the hypercube is a function of internal volume, but the heat dissipation is a function of the interface with 3D space, so each hypercube is limited in size, and must then be separated in time or space to allow that heat to be transferred away, which takes up more than O(n^(1/3)) distance and distance means speed of light delays.
There is no beating the speed of light. You cannot stack servers like cordwood. So no matter what toroidal internetworking architecture you make the maximum interconnect length is always, always a function of the dimensions of the devices and typically with a constant factor of. 5x to 10x on top.
Star interconnects are limited to the surface area of each device, which is the cube root of the volume. Because you have to have space to plug the wires in.
“You’ve got it all figured out” is deflecting basic physics facts. What is your clever solution to data center physics?