62 Nebraska Agricultural Exp. Station, Research Bui. 7. 
The formulae, number of internodes and frequencies of the 
several F2 types would be: 
TT'rpniiPnpipci 
Tnf pmr>Hpc; 
1 
1 
1 < 
0 
AAlSrSLc 
lb 
0 
AAriOLL 
lb 
0 
Z 
AdDDi^K^ 
1 7 
4 
AABhCc 
15 
4 
AaBBCc 
16 
4 
AaBbCC 
16 
8 
AaBbCc 
15 
1 
AABBcc 
15 
2 
AABbcc 
14 
2 
AaBBcc 
15 
4 
AaBhcc 
14 
1 
AAbbCC 
15 
2 
AAbbCc 
14 
Frequencies Formulae Internodes 
2 
Aa66CC 
15 
4 
AabbCc 
14 
1 
AAbbcc 
13 
2 
Aabbcc 
13 
1 
aaBBCC 
7 
2 
aaBBCc 
6 
2 
aaBbCC 
6 
4 
aaBbCc 
5 
1 
aabbCC 
5 
2 
aabbCc 
4 
1 
aaBBcc 
5 
2 
aaBbcc 
4 
1 
aabbcc 
3 
The frequency distribution for number of internodes found by 
assembling the above data is: 
Internodes 3-4-5-6-7-8-9-10-11-12-13-14-15-16-17 
Frequencies 1 4 6 4 1 3 12 18 12 3 
Bush beans 16 Pole beans. . . .48 
Ratio 1 3 
From the illustration given above, it is seen that a combina- 
tion of the multiple-factor and the single-factor hypotheses, 
previously employed separately, can be used to interpret the 
facts with regard to the inheritance of habit of growth and number 
of internodes in crosses between pole and bush beans. A 3-1 
distribution of pole and bush types, together with wide variation 
in internode numbers in both classes, is realized as a result of 
the assumptions made. The range of variation observed in F2 
of the crosses of pole and bush beans reported in this paper is 
much greater for the pole-bean than for the bush-bean segregates. 
This difference is not expressed in the hypothetical frequency 
distribution given above. But no account is here taken of the 
influence of environmental conditions upon the number of inter- 
nodes. In the discussions of habit of growth and of growth curves 
early in this paper, it was shown that environmental conditions 
exert a marked influence upon the number of internodes of pole 
beans while having little or no effect upon bush beans. Pole 
beans, in short, owing to their indeterminate habit, are capable 
of prolonged growth under favorable conditions but may have 
their growth arrested early by unfavorable conditions, while bush 
beans under very favorable conditions merely produce more 
branches, all of which are as determinate in growth as in the main 
