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Using a method and its results which deals with the geometrical operators consistently，a complete area spectrum is obtained. At the same time，a different interpretation and result is given for the action of the Euclidean term of Thiemanns Hamiltonian constraint. In the graphical scheme of the grasping action，using the simplification of any triple of grasping actions of the volume operator，the associated recoupling matrices are demonstrated. Employing the movements of grasps，a complete and exact general expression of recoupling matrix for any triple of grasp actings on any valent vertex is detailed.
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Keywords:
- consistent description of actions of area and volume operators /
- complete area-spectrum /
- simplification of grasping actions /
- general expressions of recoupling matrices
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