Thanks to Tanja Lange for the following pictures.
Silhouettes of the competitors
x^2 + y^2 = 1 - 300 x^2 y^2
y^2 = x^3 - 0.4 x + 0.7
x^2 = y^4 - 1.9 y^2 + 1
x^3 - y^3 + 1 = 0.3 x y
Portraits of the competitors
The Edwards–Weierstrass race
The race between all competitors