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 A2 and B2 Coxeter planes.
| Centered by | Face | Vertex |
|---|---|---|
| Coxeter planes | B2 |
A2 |
| Projective symmetry |
||
| Tilted views |
Read more about this topic: Cubes
Other articles related to "orthogonal projections, orthogonal projection, projection, orthogonal":
Projection (linear Algebra) - Classification - 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 ...
... 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)
Main Site Subjects
Related Subjects
Related Phrases
Related Words