What shape does the universe have?

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I was recently sent two related questions regarding the shape of our universe.

The visible part of the Universe, or as they say

There are three main hypotheses about the shape of the entire universe.

The first of these is that the universe in shape can represent

A hypersphere is a surface formed by a set of points equidistant from the center in n-dimensional space. In this case, just as a two-dimensional section of a 2-sphere (i.e., an ordinary 3-dimensional ball) is always a 1-sphere, i.e. circle, and a three-dimensional section of a 3-sphere will be a 2-sphere — a ball.

The second hypothesis assumes that the universe is

All our observations at the moment testify in favor of the fact that it is the last hypothesis that is true — i.e. the universe is an infinite flat hypersurface. Perhaps in the future, more accurate measurements will clarify this issue.

In general, it must be said that geometry in space with more than three dimensions becomes strange, the human brain is hardly able to visualize it for itself, although there were scientists who, according to their own statements, learned to do this.

For example, one such scientist was the Fields Medal laureate (analogue of the Nobel Prize in mathematics) William Thurston, who owns many achievements in the field of multidimensional geometry.

Theoretically, there is a so-called multiverse, which is made up of an infinite number of universes. Theoretically, these universes do not intersect and are not connected with each other, they exist in parallel.

Thus, our universe is part of a larger object, while not being part of it like a brick part of a house.