Is a human homeomorphic to a torus?

No. The sinuses have many holes and voids in them. The human gut could be considered a torus, though there's a glut of obesity and gastric bypass these days that create very topologically-interesting variations on this, particularly when you are looking at the digestive tract in an autopsy...

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And another question, what topological shape is a human?

Topologically speaking, a human is a torus. Your digestive system is the hole in the doughnut. Subsequently, what is the human body homeomorphic to? If we didn't have a nose (and wouldn't count the ears as holes), the human body would probably be homeomorphic to a torus. Although it also depends if you see the lung and the bladder as dead ends. For a normal human male, discounting pores, we have 9 holes.

How many faces does a torus have?

It has only one surface. It does not have edges or vertices. Accordingly, can you turn a torus inside out? The torus is the doughnut like surface shown in the illustration on page 119. The homotopy depicted can be described as follows. Extrude a small sphere from the surface of the torus and turn the sphere inside out. Expand the reversed sphere until it swallows the torus.

Thereof, how do you get torus?

A torus is generated by sweeping a circle around an axis in the same plane as the circle. This means that any plane containing the axis inter- sects the torus in two circles. We can use this property to make a different model. Is the Earth a dodecahedron? Earth has the shape of a hexahedron or cube (Timaeus 54e?55b). Although Plato does not mention the shape of these leather pieces, scholars agree that he is hinting at a dodecahedron, which is a polyhedron made of 12 regular pentagons (Fig. 17.2).

What if Earth was a cube?