# a level surface

A level surface $f^{-1}(1)$ for the function $f(x,y,z)=x^2+y^2+z^2-3xyz$

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### One response to “a level surface”

1. Thanks; upon thinking about it it is a great motivator to study the A4 group. In addition it shows porting of circle, hyperbola intersections to higher dimensions and discrete symmetries. Occasionally problems in the American Mathematical Monthly deal with similar figures.