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This image shows the same representation as the previous image, but shows all the weights of the representation, rather than just those in the Weyl-group orbit of the highest weight. So in addition to the vertices of the polyhedron, we get weights at the centers of the hexagons and six weights in the shape of an octahedron in the interior of the polyhedron. The yellow and blue lines show some piece of the lattice of dominant integral elements (rotated relative to earlier pictures), indicating that the highest weight (top right) is the sum of the three fundamental weights. The weights at the vertices of the figure have multiplicity one, the weights at the centers of the hexagons have multiplicity 2 and the weights in the inner octahedron have multiplicity 4. |