242 
MARY GERTRUDE HASEMAN : ON KNOTS, 
Both the primary and secondary symbol admit the possibility of distortions. 
The simple distortion D on the primary symbol merely changes the position of 
two joins in the secondary symbol. 
As a simple illustration of the effect of a distortion on the compartment symbol, 
consider the knot whose primary and secondary symbols are 
The primary symbol shows the presence of the reversible tangle R 2 : 
1 
— 4 — 
I 
5 
for which «/ = &/ = 3, a 2 ' = a z = a 3 ' = 6 2 = b 2 = 2, b 1 = 1. Hence the application of 
the corresponding distortion D 2 gives the symbol 
In addition to the reversible tangle R 2 , the primary symbol exhibits the reversible 
tangle R x : 
\ / 
— 5 - 1 
I X 1/ 
3 3 5 
II " 1 " 
5 — 
Similarly, the secondary symbol shows the presence of the reversible tangles 
R/ and R 2 '. Hence there exists the possibility of distortions D ls D/, D 2 , D 2 ', 
