![]() For example, if you shift a cube by a unit of length in the fourth dimension, you get a tesseract. This process can be generalized to any number of dimensions. Shifting the square by a unit of length in the direction perpendicular to the plane of the square, a cube is obtained - a hypercube of dimension 3. Further, if you shift a segment by a unit of length in a direction perpendicular to the direction of the segment, you get a cube - a hypercube of dimension 2. If you shift a point by a unit of length, you get a segment of unit length - a hypercube of dimension 1. N-dimensional hypercube is also called n-cube.Ī point is a hypercube of dimension 0. ![]() In addition, in some sources, the same figure was called tetracube(tetracube). The word was formed from the Greek "τεσσερες ακτινες" ("four rays"), is in the form of four coordinate axes. More formally, a tesseract can be described as a regular convex four-dimensional polytope (polytope) whose boundary consists of eight cubic cells.Īccording to the Oxford English Dictionary, the word "tesseract" was coined in 1888 by Charles Howard Hinton and used in his book A New Era of Thought. The tesseract is to the cube as the cube is to the square. This figure is also known as tesseract(tesseract). This is a closed convex figure, consisting of groups of parallel lines located on opposite edges of the figure, and connected to each other at right angles. In geometry hypercube- This n-dimensional analogy of a square ( n= 2) and cube ( n= 3).
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