108 
Miscellanea 
6 2 4 6 8 To 12 14 16 18 20 22 24 26 28 30 32 34 
Number of rays in a head 
Record of 7709 Ray-Flowers in 500 Flotver-Heads. 
/, Ligulate 
/, Tubular 
% Ligulate 
% Tubular 
l-lobed flowers 
1 
0 

100 
0 
2-lobed flowers 
193 
0 
100 
0 
3-lobed flowers 
5908 
14G 
98 
2 
4-lobed flowers 
893 
296 
75 
25 
5-lobed flowers 
78 
183 
30 
70 
6-lobed flowers 
0 
11 
0 
100 
7073 
636 
92 
8 
Summary. The normal flower-head of Gaillardia aristata has 13 three-lobed ligulate rays. 
Variation from the normal, however, is common and occurs in the number and form of the rays 
and in the number of lobes in a raj'. The tendency to vary is toward a flower-head having 
a larger number of rays, mixed ligulate and tubular, the latter being four-lobed. A few heads 
are found with all the rays tubular. 
University of Colorado, 
Boulder, Colo. 
[It is worth noting that the Fibonacci mode series (see Biometrika, Vol. i. p. 306), namely, 
5, 8, 13, 21, 34..., is not represented in the sub-modes of Gaillardia aristata ; and, except for the 
primary mode 13, there is no evidence in favour of the Fibonacci doctrine from the data. Ed.] 
