Symmetry in the Burning Ship to higher powers
where z is a point in the complex plane x+i*y, and re(z)=x, im(z)=y.
Notice how the even powers are asymmetric, and the odd powers are symmetric about the diagonal.
This symmetry seems to be a result of the way that the function factors out.
The terms in the odd powers are more symmetrical.
for powers of 4n-1, the point u,v will be the same as v,u.
for powers of 4n-3, the point u,v will be the same as -v,u.
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|Cubic (sometimes called the Bird of Prey)|