A sphere is round - like a tennis ball. A torus is ring-shaped - like a donut !
Topology is the study of objects (often surfaces in 3D) where details like position, shape and curvature are unimportant. Two topological objects are considered equivalent if they can be stretched to look like one another. An example of two different topological objects are a sphere and a doughnut shape (torus); the sphere cannot be stretched to look like the torus because it doesn't have a hole and the torus does.
A sphere or torus (a donut).
Sphere, torus, moebius strip
A blob, an ellipsoid, a torus (doughnut), a sphere
A sphere is round - like a tennis ball. A torus is ring-shaped - like a donut !
Topology is the study of objects (often surfaces in 3D) where details like position, shape and curvature are unimportant. Two topological objects are considered equivalent if they can be stretched to look like one another. An example of two different topological objects are a sphere and a doughnut shape (torus); the sphere cannot be stretched to look like the torus because it doesn't have a hole and the torus does.
A sphere or torus (a donut).
An ellipsoid, a sphere, a torus to name a few.
A sphere, an ellipsoid, a torus (donut), an irregular blob with no pointy bit.
A sphere, ellipsoid, torus (doughnut), and many more besides.
Sphere, torus, moebius strip
A blob, an ellipsoid, a torus (doughnut), a sphere
For a simply connected convex polyhedron , that is, shapes that are topologically equivalent to a sphere, F - E + V = 2 where F = faces, E = edges and V = vertices. For shapes that are topologically equivalent to a sphere with one hole in it (torus or doughnut shape), F - E + V = 0 For shapes that are topologically equivalent to a sphere with two holes in it F - E + V = -2 For shapes that are topologically equivalent to a sphere with three holes in it F - E + V = -4 and so on.
A sphere, a cone, a section of a sphere or ellipsoid, a torus (doughnut) sliced by a plane perpendicular to its axis, a paraboloid. These are some examples.
A sphere with two slices cut out of it by planes. A torus (doughnut) with a chunk taken out of it.
It depends on the figure. For example, you cannot draw a net for a sphere, an ellisoid or a torus.