Category:Square matrices representing 2n-cubes
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A hypercube with even dimension can be represented by a square matrix that preserves some of the hypercubes symmetry.
With binary entries these matrices can represent Boolean functions. See subcategory Binary square matrices representing sets of (2*n)-cube vertices.
This category could contain all kinds of matrices representing 2n-cubes. But most are like those in Square matrices representing 2n-cubes (image set), which have aspects of a Hasse diagram.
| hypercube dimension |
matrix size | h.c. vert. mat. fields |
subcategory | example | |
|---|---|---|---|---|---|
| 2 | 21 × 21 | 2 × 2 | 4 | 2x2 matrices representing squares | File:2-cube matrix.svg |
| 4 | 22 × 22 | 4 × 4 | 16 | 4x4 matrices representing tesseracts | File:4-cube matrix.svg |
| 6 | 23 × 23 | 8 × 8 | 64 | 8x8 matrices representing hexeracts | File:6-cube matrix.svg |
| 8 | 24 × 24 | 16 × 16 | 256 | 16x16 matrices representing octeracts | File:8-cube matrix.svg |
| 10 | 25 × 25 | 32 × 32 | 1024 | 32x32 matrices representing 10-cubes | File:10-cube matrix.svg |
| 12 | 26 × 26 | 64 × 64 | 4096 | 64x64 matrices representing 12-cubes | File:12-cube matrix.svg |
| 14 | 27 × 27 | 128 × 128 | 16384 | 128x128 matrices representing 14-cubes | |
| 16 | 28 × 28 | 256 × 256 | 65536 | 256x256 matrices representing 16-cubes | |
Subcategories
This category has the following 9 subcategories, out of 9 total.