280 heptads such as / j y\^ / \ , say this is the heptad 1.678, 
2 3 4 5 7 8 
denoting the seven duads 12, 13, 14, 15, 67, 68, 78. 
We hence see that the 2016 hemi-tripairs are: 
1 
280 hemi-tripairs 
12, 13, 14: 
1680 hemi-tripairs 
12, 67, 68: 
56 hemi-tripairs 
13, 23: 
(III.), say this is 123, denoting the three duads 12, 
We further see how each hemi-tripair may be completed into a tripair in 5 
I 1 
different ways: thus (I.) gives the 5 tripairs 2v- y>4 2 \ 3, ^>4 ; (HI.) gives the 
5,6,7or8 
6 
5 tripairs 
; while (II.) gives the 3 tripairs 
4,5,6,7or8 
1 6 2 .6 
and / 
<; 7 \ 7 
(7 /8 and the 2 tripairs 
5,4 or 3