Our perception of our environment can deceive us. A map, although flat, effectively guides us through a space that, in ...

The surface of the sphere and the plane are two possible 2D ... While you don’t need topology to determine that you are living on something like a giant beach ball, knowing all the possible ...

In differential topology one assumes that the surface can be pushed through itself, but then the problem is to avoid forming a crease" "Normally a sphere can be turned inside out only if it has ...

The surface of the sphere and the plane are two possible 2D ... While you don't need topology to determine that you are living on something like a giant beach ball, knowing all the possible ...

The surface of the sphere and the plane are two possible 2D spaces ... the 2D beach ball surface or something even more exotic than that. While you don’t need topology to determine that you are living ...