j.iy, mi.-] OG UBA .—OAFS OF STELE IN POL YPODIACEAE, 125 



b. A leaf with three foliar traces. 



a. Clockwise phyllotaxy Polystichum falcatum var. 



Fortune!. 



c. A leaf with several foliar traces. 



'a. Clockwise phyllotaxy Polystichum aristatum. 



B. Rhizomes with Vs phyllotaxy. 



a. A leaf with a single foliar trace. 



j9. Counterclockwise phyllotaxy Plagiogyria adnata. 



b. A leaf with two foliar traces. 



a. Clockwise phyllotaxy Matteuccia orientalis. 



/9. Counterclockwise phyllotaxy Woodwardia radicans 



var. orientalis. 



c. A leaf with several foliar traces. 



a. Clockwise phyllotaxy Polystichum varium. 



/3. Counterclockwise phyllotaxy Polystichum Standishii. 



8. The length of the gap directly varies with that of the inter- 

 node, that is to say, both are closely related to each other, so that 

 the relation of the two consecutive gaps in one and the same row 

 and the commissure between them is constant. The result is that 

 the dictyostely and solenostely in Polypodiaceae are determined ir- 

 respective of the length of the intemode in contradiction to what 

 has been hitherto assumed by some authors, but chiefly by the length 

 of the gap in the respective species. 



• The writer intends • to carry out a further study with other 

 species of Polypodiaceae. 



In conclusing, the writer wishes to express his cordial thanks to 

 Professor K. Fujii for the kind advise and criticism throughout the 

 work. 



Botanical Institute, College of Science, 

 Tokyo Imperial University. 



