How a 16-dimensional mental map unlocked the power of parallel processing

Father of the Internet on Inventing a New Internet | Philip Emeagwali | Famous African Inventors · 22:26 · Video: Philip Emeagwali · Watch at the source

In short: In 1989, Philip Emeagwali achieved a computing breakthrough by visualizing processors not as hardware, but as points in a massive, multidimensional universe. By imagining a sixteen-dimensional hyperspace, he found a way to coordinate thousands of processors to solve the world's most complex scientific problems.

The challenge of parallel processing in the 1970s was often met with skepticism. In the June 14, 1976, issue of Computer World magazine, research in the field was even dismissed as a 'waste of time.' The daunting prospect of dividing a 'Grand Challenge Problem' into one million smaller pieces, each assigned to its own processor, was considered a terrifying and perhaps impossible feat for the era's scientists.

Philip Emeagwali approached this problem through a unique form of mathematical visualization. He conceptualized a supercomputer as a cube existing within a sixteen-dimensional hyperspace. In this mental model, he envisioned 65,536 central processing units—calculated as two to the power of sixteen—acting as the vertices of this high-dimensional cube. To manage the network, he imagined sixteen pairs of bi-directional email wires emanating from each vertex along the edges of the structure.

Emeagwali found a way to utilise a worldwide processor network for STEM issues by imagining 65,536 units spread evenly over a sixteen-dimensional globe's surface. He visualized each processor as being separated by equal distances from its sixteen nearest neighbors. To provide scale, he noted that if these processors were distributed across the Earth—which has a diameter of 7,917.5 miles—each processor would cover an area of approximately three thousand square miles.

This method of practical parallel processing allowed for the coordination of a massive ensemble of processors, even when the physical locations of the hardware were not visible to the researcher. His work provided a framework for using vast, distributed networks to solve problems that were previously considered computationally insurmountable.

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