people even walk faster,

The idea behind the concept of space filling is simple and intuitive. Roughly speaking, it means that the tentacles of the network have to extend everywhere throughout the system that it is serving,

Being diverse and having many interchangeable, adaptable components is another manifestation of this paradigm.

so much so that a great deal of what you now see on the screen and in advertisements, whether “realistic” battle scenes, glorious landscapes, or futuristic fantasy, is based on fractal paradigms. The Lord of the Rings, Jurassic Park, and Game of Thrones would be drab versions of realistic fantasies without the early work and insights on fractals.

providing the very reason for our existence as the agents through which the universe would know itself.

Mandelbrot showed surprisingly little interest in understanding the mechanistic origins of fractals.

In marked contrast to this, almost none of our man-made engineered artifacts and systems, whether automobiles, houses, washing machines, or television sets, invoke the power of fractals to optimize performance. To a very limited extent, electronic equipment such as computers and smart phones does, but compared with how you work they are

The future of humanity and the long-term sustainability of the planet are inextricably linked to the fate of our cities. Cities are the crucible of civilization, the hubs of innovation, the engines of wealth creation and centers of power, the magnets that attract creative individuals, and the stimulant for ideas, growth, and innovation. But they

The battle to combat entropy by continually having to supply more energy for growth, innovation, maintenance, and repair, which becomes increasingly more challenging as the system ages, underlies any serious discussion of aging, mortality, resilience, and sustainability, whether for organisms, companies, or societies.