Tom Melly wrote:
> 
> In a book I'm reading, there is a nice 3d shape which the book says is the
> result of the equation:
> 
> x^3 + y^3 = 1
> 
> However, it comments "x and y are regarded as complex variables".
> 
> What does a complex variable mean in this context

A complex variable is a variable that holds a a number that has the form
"a + bi", where i is an imaginary number defined as sqrt(-1).

> and what would be the
> iso-surface function for the above?

I could be wrong, but I don't think isos work with complex numbers and
since both x and y are two-dimensional values, it makes the function
describe a 4D shape, which I know isos don't understand.

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