Multimedia Gallery - The E8 root system consists of 240 vectors in an 8-dimensional space.

April 17, 2009

The E8 root system consists of 240 vectors in an 8-dimensional space.

The E8 root system consists of 240 vectors in an 8-dimensional space. Those vectors are the vertices (corners) of an 8-dimensional object called the Gosset polytope 421. In the 1960s, Peter McMullen drew by hand a 2-dimensional representation of the Gosset polytope 421. This image was computer generated by John Stembridge, based on McMullen's drawing.

Credit: John Stembridge, University of Michigan

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