Tesseract is a term that has a certain use in geometry where it is also known as a hypercube, whose words describe a certain figure that is formed from two three-dimensional cubes that move on a fourth dimensional axis, where we can classify the first "length", on the other hand to the second "height", and finally to the third, "depth". The tesseract, in a given four-dimensional space, is a cube of four spatial dimensions. integrating 8 cubic cells with 24 square faces 16 vertices 32 edgesOf course, taking into account the development of the polynomial (x + 2) n, where the value of "n" is equivalent to the number of dimensions, which in this case would be 4, and "x" is the length, width, height, among others, of the equilateral polidimensional figure.
Charles Howard Hinton was a British mathematician and writer of the science fiction genre called "scientific romances", this character first coined the term tesseract or in English "tesseract" in 1888 in a work called "A New Era of Thought", which was like a summary or writing that tried to train hyperspatial intuition through visual exercises with cubes of different colors around an imaginary tesseract.
The hypercube can be defined as a cube out of phase in time, that is, each period of time through which it moved but all of them together. Of course, you cannot see a tesseract in the fourth dimension, since only the points that touch our universe would be observed, that is, we only vary a common cube. The hypercube cannot be observed because we are arranged for three dimensions, so we only have the possibility of seeing the projection of what would be a hypercube.