Tesseract
A tesseract is a 4-dimensional object with eight cells; each cell is a cube. Unlike three-dimensional objects which rotate on both an axis and a plane (the plane being of length and width and the axis being of the leftover dimension, height), a tesseract rotates on two planes, one made up of length and width, and one made up of height and the fourth dimension. It is the simplest hypercube.
It is not possible to make a tesseract out of real materials. A tesseract is in four dimensions, but we can only move in three dimensions.
A Line is to the 1st dimension, Square is to the 2nd dimension, Cube is to the 3rd dimension, Tesseract is to the 4th dimension.
Due to tesseracts being 4D, it is impossible to completely accurately render it in a 3D universe, on a 2D screen.
Tesseract Media
8-cell vertex figure.
The Dalí cross, a net of a tesseract
The tesseract can be unfolded into eight cubes into 3D space, just as the cube can be unfolded into six squares into 2D space.
An animation of the shifting in dimensions
A diagram showing how to create a tesseract from a point
Parallel projection envelopes of the tesseract (each cell is drawn with different color faces, inverted cells are undrawn)
The rhombic dodecahedron forms the convex hull of the tesseract's vertex-first parallel-projection. The number of vertices in the layers of this projection is 1 4 6 4 1—the fourth row in Pascal's triangle.
Animation showing each individual cube within the B4 Coxeter plane projection of the tesseract
Tesseract//16-cell family graph in B4 Coxeter plane
4-4 duoprism-isotoxal octagon projection
3D Projection of three tesseracts with and without faces
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