Tesseract

A tesseract is a 4-dimensional object with eight cells. Each cell is a cube. Together, each cell makes the surface of the tesseract. Unlike three-dimensional objects which rotate on both an axis and a plane (the plane being two dimensions and the axis being of the leftover dimension, height), a tesseract rotates on two planes, one made up of two dimensions, and another made up of the other two dimensions.

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. This is similar to how projecting a 3d cube to make an image always causes distortions, except in 3d we don’t notice.^[1]

v t e Fundamental convex regular and uniform polytopes in dimensions 2–10
Family	A_n	B_n	I₂(p) / D_n	E₆ / E₇ / E₈ / F₄ / G₂	H_n
Regular polygon	Triangle	Square	p-gon	Hexagon	Pentagon
Uniform polyhedron	Tetrahedron	Octahedron • Cube	Demicube		Dodecahedron • Icosahedron
Uniform 4-polytope	5-cell	16-cell • Tesseract	Demitesseract	24-cell	120-cell • 600-cell
Uniform 5-polytope	5-simplex	5-orthoplex • 5-cube	5-demicube
Uniform 6-polytope	6-simplex	6-orthoplex • 6-cube	6-demicube	1₂₂ • 2₂₁
Uniform 7-polytope	7-simplex	7-orthoplex • 7-cube	7-demicube	1₃₂ • 2₃₁ • 3₂₁
Uniform 8-polytope	8-simplex	8-orthoplex • 8-cube	8-demicube	1₄₂ • 2₄₁ • 4₂₁
Uniform 9-polytope	9-simplex	9-orthoplex • 9-cube	9-demicube
Uniform 10-polytope	10-simplex	10-orthoplex • 10-cube	10-demicube
Uniform n-polytope	n-simplex	n-orthoplex • n-cube	n-demicube	1_k2 • 2_k1 • k₂₁	n-pentagonal polytope
Topics: Polytope families • Regular polytope • List of regular polytopes and compounds

↑ "Visualization". www.math.brown.edu. Retrieved 2025-01-04.

[1] "Visualization". www.math.brown.edu. Retrieved 2025-01-04.

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