New posts in Surfaces

Count the number of shapes in a polyhedron.

Does the Gauss-Bonnet theorem apply to non-orientable surfaces?

The gauss map $ N$ is surjective if the surface is compact

When does a space admit a flat metric?

This is not a torus

Is this map a homeomorphism onto its image?

I would like help identifying the rigorous classification of this 'surface' geometry based on my interpretation of 3D models.

Uniqueness for antipodal points of maximum distance on closed convex surface

$S\subset\mathbb{R}^3$ compact, orientable, not a sphere $\Rightarrow K$ has positive and negative values

derive a parametric equation of a sphere (on the first octant) with a dent in the middle