There have been many ideas in the past addressing the problem of disconnected skyscrapers. In fact, vertical peaks in a planar world create many dead ends and long connection paths while at the same time wasting area and interfering with surface related bio-ecological processes.
In a world of permanently growing population we therefore have
to deal with the issue of finding a way to establish a higher urban density than presently encountered without degrading life environment. So this design does not aim at creating a single building complex to solve these problems but rather proposes the functionality of a network of a three-dimensional infrastructure organized in a horizontal and vertical street grid.
A 3D-grid infrastructure offers short connection paths and higher urban density with better local communication and less social isolation through 3D-street live and a higher number of neighbor interfaces. It favors geodesic closeness as a cube maximizes the volume among all hyper-rectangles with a given surface measure. Imagine that you can buy a plot in a city which has an xyz coordinate instead of a normal address to build your house on. Hence, designing the grid still leaves individual variability for each parcel owner.
The network is based on a modular system where each module can be viewed as a "quarter". It can grow by adding framework modules in the first step which can be colonized by attaching units (houses) in the second step.
Of course, increasing density would create a couple of new problems like traffic and natural illumination.
To handle traffic and communication it is important to break down the infrastructure to a 3-scale organization.
Marc Anton Dahmen