Difference between revisions of "Hypercube"

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To see an example of a 4D cube, click here: [https://latex.artofproblemsolving.com/3/d/5/3d5fc91ddaa1838f367ade6a2baa0649edd32317.png]
 
To see an example of a 4D cube, click here: [https://latex.artofproblemsolving.com/3/d/5/3d5fc91ddaa1838f367ade6a2baa0649edd32317.png]
 
[[Category: Geometry]]
 
[[Category: Geometry]]
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Revision as of 16:43, 16 June 2022

As used in geometry, a hypercube is an extrapolation of the cube or square to n dimensions. For example, a 4th dimensional hypercube is called a tesseract. Therefore, an n-dimensional hypercube is also known as an n-cube. It is best drawn and represented in non-Euclidean geometry.

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Tesseract

A tesseract is the 4th dimensional hypercube. It is made by combining two cubes. The net of a tesseract is composed of 8 cubes. It has the Schlaefli symbol ${4,3,3}$. Its vertices are ${\pm1, \pm1, \pm1, \pm1}$.


To see an example of a 4D cube, click here: [1]


$\mathcal{e}$

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