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Tetrahedral Coordinates

Coordinates useful for plotting projective 3-D curves of the form $f(x_0,x_1,x_2,x_3)=0$ which are defined by

$\displaystyle x_0$ $\textstyle =$ $\displaystyle 1-z-\sqrt{2}\,x$  
$\displaystyle x_1$ $\textstyle =$ $\displaystyle 1-z+\sqrt{2}\,x$  
$\displaystyle x_2$ $\textstyle =$ $\displaystyle 1+z+\sqrt{2}\,y$  
$\displaystyle x_3$ $\textstyle =$ $\displaystyle 1+z-\sqrt{2}\,y.$  

See also Cayley Cubic, Kummer Surface



© 1996-9 Eric W. Weisstein
1999-05-26