Cubes - Orthogonal Projections

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.

Orthogonal projections
Centered by Face Vertex
Coxeter planes B2
Tilted views

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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 ...

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