Balanced Crosses 303 



applicability of Mendel's formula to all cases 

 complying with the given conditions. 



Intentionally I have chosen for the last ex- 

 ample two pairs of antagonisms, relating to 

 the same pair of plants, and which may be 

 tested in one experiment and combined in one 

 calculation. 



For the latter we need only assume the same 

 conditions as mentioned before, but now for 

 three different qualities. It is easily seen that 

 the third quality would split each of our four 

 groups into two smaller ones in the proportion 



of %:%. 



We would then get eight groups of the follow- 

 ing composition: 



9/16 X 3/4 = 27/64 or 42.2% 



9/16 X 1/4= 9/64 ' 



3/16X3/4= 9/64 



3/16 X 1/4= 3/64 



3/16X3/4= 9/64 



3/16 X 1/4= 3/64 



1/16 X 3/4= 3/64 



14.1% 

 14.1% 



4.7% 

 14.1% 



4.7% 

 4.7% 



1/16 X 1/4= 1/64 ' 1.6% 



The characters chosen for our experiment in- 

 clude the absence of stem and flowers in the 

 first year, and therefore would require a second 

 year to determine the flower-color on the per- 

 ennial specimens. Instead of doing so I have 

 taken another character, shown by the teeth of 

 the capsules when opening. These curve out- 



