Abstract
done in only two independent ways, as shown in Fig. 3. The decomposition of Fig. 3a is characterized by the fact that six of the eight corners are vertices of two surface diagonals, yielding the maximum number of 12 diagonal ends. The decomposition of Fig. 3b has two corners, each of which is the vertex of three diagonals, and six corners which are vertices of one diagonal. It turns out that the second decomposition yields a more convenient and simpler formula for the computation of the corresponding cell volume. For the computation of the volume consider, for example, the decomposition of the cell into two, as indicated in Fig. 4a. Each portion consists of three tetrahedra such that the total volume is given as
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