**Barth's Sextic Surface and two associated regular dodecahedra**

A Barth sextic surface
is a surface given by the equation

Φ=(sqrt(5)+1)/2 is the

A lot of beautiful images of this surface are available; in many cases those images are rendered using a raytracing programme such as Povray.

The following animation shows the part of the surface inside the sphere centered at the origin and radius 2.5.

Barth's sextic surface has 65

**Barth's Decic Surface**

A Barth decic surface
is a surface given by the equation

+(3+5Φ)(x

Φ=(sqrt(5)+1)/2 is the

A lot of beautiful images of this surface are available; in many cases those images are rendered using a raytracing programme such as Povray.

The following animation shows the part of the surface inside the sphere centered at the origin and radius 45.

Barth's decic surface has 345

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