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]] | ||
Latest 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.
Links
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]
![[1]](https://latex.artofproblemsolving.com/3/d/5/3d5fc91ddaa1838f367ade6a2baa0649edd32317.png){kind=link}