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What is a self dual polyhedron?
For every polyhedron, there is a dual which is a polyhedron that has:a face where the first had a vertex,a vertex where the first had a face,the same number of edges.A self-dual polyhedron is a polyhedron whose dual is the same shape.All pyramids, for example, are self-dual.
What is the difference between the primal and dual?
The difference between primal and dual are that primal means an essential, or fundamental of an aspect where as dual means consisting of two parts or elements. Primal is one, dual is two.
How are platonic solids related?
One way in which Platonic solids are related is by duality. To construct the dual of a Platonic solid take the vertices of the dual to be the centres of the faces of the original. The lines joining adjacent centres of the original form the edges of the dual. In this way, the numbers of faces and vertices are swapped while the number of edges remain the same.A tetrahedron is its own dual.A hexahedron (cube) and octahedron from a dual pair.A dodecahedron (cube) and icosahedron from a dual pair.One way in which Platonic solids are related is by duality. To construct the dual of a Platonic solid take the vertices of the dual to be the centres of the faces of the original. The lines joining adjacent centres of the original form the edges of the dual. In this way, the numbers of faces and vertices are swapped while the number of edges remain the same.A tetrahedron is its own dual.A hexahedron (cube) and octahedron from a dual pair.A dodecahedron (cube) and icosahedron from a dual pair.One way in which Platonic solids are related is by duality. To construct the dual of a Platonic solid take the vertices of the dual to be the centres of the faces of the original. The lines joining adjacent centres of the original form the edges of the dual. In this way, the numbers of faces and vertices are swapped while the number of edges remain the same.A tetrahedron is its own dual.A hexahedron (cube) and octahedron from a dual pair.A dodecahedron (cube) and icosahedron from a dual pair.One way in which Platonic solids are related is by duality. To construct the dual of a Platonic solid take the vertices of the dual to be the centres of the faces of the original. The lines joining adjacent centres of the original form the edges of the dual. In this way, the numbers of faces and vertices are swapped while the number of edges remain the same.A tetrahedron is its own dual.A hexahedron (cube) and octahedron from a dual pair.A dodecahedron (cube) and icosahedron from a dual pair.
What is a dual-scale thermometer?
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Example of linear functional in dual space?
dual space W* of W can naturally identified with linear functionals
