
This animation shows the Barth surface, a level surface of the decic polynomial
8 (x^2t^4 y^2) (y^2t^4 z^2) (z^2t^4 x^2)*(x^4+y^4+z^42 x^2 y^22 x^2 z^22 y^2 z^2)+ (3+5t) (x^2+y^2+z^2w^2)^2 (x^2+y^2+z^2(2t) w^2)^2 w^2 = 0where t is a parameter which is changed. The surface is usually considered when t is the golden ratio. It has then icosahedral symmetry. The constant w is chosen to be 1. The background music is a few seconds from Ennio Morricones "Toto E Alfredo".