Difference between revisions of "Hypercube"
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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 <math>{4,3,3}</math>. Its vertices are <math>{\pm1, \pm1, \pm1, \pm1}</math>. | ||
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− | { | + | To see an <math>\mathfrak{e}</math>xample of a 4D cube, click here: [https://latex.artofproblemsolving.com/3/d/5/3d5fc91ddaa1838f367ade6a2baa0649edd32317.png] |
+ | [[Category: Geometry]] |
Revision as of 16:44, 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 . Its vertices are .
To see an xample of a 4D cube, click here: [1]