282 PROCEEDINGS OF SOCIETIES. 
Parish, Hailsham. 
Professor Alexander Dickson * On Convergence of Secondary Spirals 
in Cones of Pinus Pinaster." Professor Dickson exhibited a series 
to another by what is 
Such transitions, he pointed out, are due to fusion of two consecu- 
e scales in some one of the secondary spirals. This fusion of two 
system of the lower spiral and the number of the constants be given, woul 
theoretically result from fusion of two consecutive scales in one of the con- 
stants. As illustrative of this third point, Dr. Dickson showed that when, 
in Fir cones, we have a transition from the system 1, 2, 3, 5, 8, 13, eto., if 
ete. ; if those by 5, then 1, 2, 5, 7, 12, etc. ; and if those by 8, then the 
quadrijugate 4, 4, 8, 12, ete. Now, if we examine a construction of the 
system 1, 2, 3, 5, 8, 13, ete., and approximate into an intermediate point, 
two consecutive insertions—say in one of the spirals by 3—it will be easily 
seen that, while these spirals by 3 would remain undisturbed, there would 
by 5 converging into one, leaving 4 over; two by 8, leaving ¢ > 
three by 13, leaving 11; four by 21, leaving 18; sia by 34, leaving 29, 
and so on: the resulting numbers being thus those of the system 1, 3,4 
cutive insertions 
by 34, into one and so o : b 
: n: the resulting numbers 
of the system 1, 2, 5, 7, 12, 19, 31, etc gai approximating 
pointed out that Professor Dickson had cleared up an anomaly in t 
theory of Phyllotaxis. By the examination of cases of fusion o 
