304 CARL W. BOCK 



exists as between halves and the multiples of a number. Thus 

 we may consider the 46 group the physiological double of the 22 

 group, or we may consider the 22 group the physiological half 

 of the 46 group. 

 A partial list of such equations follows: 



74 = 33 + 27 + 27/2 (14) 



= 27 + 27 + 20 



= 54 + 20 



= 39+15 + 20 



87 = 33 + 27 + 27 



= 33 + 54 



= 33 + 39+15 



= 57+15+15 



= 27 + 45+15 



= 27+15+15+15+15 



83 = 33 + 27 + 23 



= 33 + 33 + 33/2 



= 23 + 45+15 



= 23+23 + 22+15 



= 23+15+15+15+15 



45 = 15 + 15 + 15 

 = 23 + 22 



128 = 83 + 45 

 = 74 + 54 



and all substitution products. 



23 = 23 



258 = (128 + 1) + (128 + 1) 



= 83 + 23 + 23 + 83 + 23 + 23 

 = 45 + 45 + 45 + 45 + 45 + 33 

 = 33 + 33 + 33 + 33 + 33 + 33 + 33 + 27 

 = 27 + 27 + 27 + 27 + 27 + 27 + 27 + 27+27+15 

 and all substitution products. 



27 = 27 



