🫧 Boy's Surface
x(u,v) =
(√2·cos2u·cos²v + cos u·sin 2v) / D
y(u,v) =
(√2·sin2u·cos²v − sin u·sin 2v) / D
z(u,v) =
3·cos²v / D
where D = 2 − √2·sin 3u·sin 2v
Bryant–Kusner parametrization
u ∈ [0, π] |
v ∈ [0, π]
An immersion of the real projective plane in ℝ³.