Bring's curve
In mathematics, Bring's curve (also called Bring's surface and, by analogy with the Klein quartic, the Bring sextic) is a highly-symmetric Riemann surface. It can be defined as an algebraic curve using five complex numbers as projective coordinates, as the space curve in the four-dimensional projective space P 4 ( C ) {\displaystyle \mathbb {P} _{4}(\mathbb {C} )} cut out by the homogeneous equations v + w + x + y + z = v 2 + w 2 + x 2 + y 2 + z 2 = v 3 + w 3 + x 3 + y 3 + z 3 = 0.