**Orthogonal Projections**

The *cube* has four special orthogonal projections, centered, on a vertex, edges, face and normal to its vertex figure. The first and third correspond to the A_{2} and B_{2} Coxeter planes.

Centered by | Face | Vertex |
---|---|---|

Coxeter planes | B_{2} |
A_{2} |

Projective symmetry |
||

Tilted views |

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### Other articles related to "orthogonal projections, orthogonal projection, projection, orthogonal":

Projection (linear Algebra) - Classification -

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**Orthogonal Projections**... An

**orthogonal projection**is a**projection**for which the range U and the null space V are**orthogonal**subspaces ... A**projection**is**orthogonal**if and only if it is self-adjoint, which means that, in the context of real vector spaces, the associated matrix is symmetric relative to an orthonormal basis P = PT ... Indeed, if x and y are vectors in the domain of the**projection**, then Px ∈ U and y − Py ∈ V, and where is the positive-definite scalar product ...### Famous quotes containing the word projections:

“Western man represents himself, on the political or psychological stage, in a spectacular world-theater. Our personality is innately cinematic, light-charged *projections* flickering on the screen of Western consciousness.”

—Camille Paglia (b. 1947)

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