102 
Y. TANAKA. 
zNZn 
ZN,Zn,zN. zn 
1 ZNZN 
2 ZNZn 
2 ZNzN 
4 ZNzn 
1 ZnZn 
2 Znzn 
12 zebra 
2366 
2377.5 
1 zNzN 
3 common 
597 
594.4 
1 znzn 
1 plain 
202 
198.1 
Since all succeeding generations can be similarly explained as above, any 
further analysis is not needed. 
C. The case of poly-lunar pattern. 
Here we may express the characters as: 
P, Poly-lunar pattern ; p, Absence af P ; 
N, Common pattern ; n, Absence of N. 
If we assume the poly-lunar pattern to be fully developed only in pres- 
ence of N, we shall obtain the following diagram : 
P PN x pn 
Poly-lunar J Plain 
F, PNpn 
Poly-lunar 
Fj gametes PN, Pn, | pN, pn. 
I I T 1 
F, 9 PN 3 pN 3 Pn 1 pn 
Poly-lunar Common Faint poly-lunar Plain 
D. The case of dominant and recessive whites. 
Since dominant white, either in animals or in plants, is now generally 
regarded as due to the presence of a factor that prevents the production 
of colour in individuals which would otherwise be coloured, the formula 
constructed in conformity with this view are perhaps to be preferred to 
Toyama’s formulae based apparantly on Mendel’s original view. These two 
series of formulae are given below : 
