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
A2
Projective
symmetry
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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