- For the first 12 positions, values in group 2 are the sums of values in the corresponding positions in groups 4, 5, 6.
Then for one position, one value is not included and so the next 5 sums involve values in 2 corresponding positions and one neighboring position. That is:
\[P_{2i}=P_{4i}+P_{5i}+P_{6i}\;for\;i=(1,2,3...,12) \]
\[P_{2,13}=P_{5,13}+P_{6,13} \]
\[P_{2,i}=P_{4,i-1}+P_{5i}+P_{6i}\;for\;i=(14,15,...,18) \]
- Values in group 1 are the sums of values in corresponding positions in groups 2 and 3:
\[P_{1i}=P_{2i}+P_{3i}\;for\;i=(1,2,3...,18) \]
Since group 2 sums groups 4, 5, 6, these could alternately be interpreted as the sums of values in groups 3, 4, 5, 6.
- Subsidiaries on pendants in group 2 sum the subsidiaries, color by color, on the corresponding pendants in groups 3, 4, 5, 6.
Subsidiaries with color RL: GG, B:W, and BD:W are not summed. Thus:
\[P_{2,i°sub_j}=P_{3,i°sub_j}+P_{4,i°sub_j}+P_{5,i°sub_j}+P_{6,i°sub_j}\;for\;i=(1,2,3...,18)\;\;\;j=(B,W,B,W,GG,RL,BD,BS) \]
- It is interesting to observe that the pendants in group 1 have the sums of pendant values in groups 3-6, while it is in group 2 that the subsidiaries have the sums of the subsidiary values in groups 3-6.
Also, when describing the pendant value sums, the values in group 4 were offset for positions 14-18. Since there are no subsidiaries on these pendants, we can reach no conclusion as to whether offsetting was necessary in the representation of the subsidiary sums also.