146 



SIDNEY F. HAEMEB. 



without paying careful attention both to the number of zooecia 

 in the individual internodes and to the character of the 

 branching. Smitt^ is the only writer who has done this in a 

 thoroughly satisfactory manner, and it will be convenient to 

 make use of a modification of a graphic method of repre- 

 senting the characters of the colony which he was the first to 

 introduce." 



In this method the limits of each internode are indicated by 

 brackets, in which is a number denoting the number of zooecia 

 in the internode; r indicates a branch, the position of which 

 is further shown by means of a number : thus ^r, e. g., indicates 

 a branch given off from the first (lowest) zooecium of an 

 internode on the left side, while i\ indicates a branch given 

 off from the second zooecium on the right side of the inter- 

 node; finally x indicates the growing-point, and Ov. an ovicell. 

 A key to the method may be obtained by referring to fig. 6, 

 the formula of which is included on the formula on p. 154', as 

 explained on that page. 



Thus many of the characteristic features of C. denticul ata 

 (figs. 2, 3) may be represented by the formula — 



(8) + (9 + 3'-) + (10) + (9 + ;» + (9 + 3r) + (lH-;-J + (ll + /) + (13-h;-5) + (9 + 3»-) + (8-ha:) 



l=(13+,O + (10) + (7 + r„) + (4 + .r) 



L(5+:r) 



--{x) 



=(ll-H;-5) + (10) + (ll+40 + (S) + (.r) 



l=(5 + 0».4-2+3r+.r) 



'=(3-F;r) 

 =(10) + (9 + ;-,) + (5 + O«. + 54-.r) 



L(9 + Oy. + 6-j-?-4+;r) 



l=(8-j-^) 



1 ' Ofvers. af-K. Vet.-Akad. Forhandl.,' 1865, p. 115. 



2 Loc. cit.. p. 139. 



