MEMOIRS FROM THE DEPARTMENT OF BOTANY OF COLUMBIA COLLEGE. 89 
3—4 mm. long, two-parted or three-parted to the base; achenes lenticular, biconvex, 
slightly gibbous, or triquetrous, 2.5 mm. long, broadly-oblong, narrower when triquetrous, 
thick-pointed, black, smooth and shining. 
From Ottawa to California, south to Colombia, Brazil and Paraguay. Also in the 
West Indies. 
Polygonum punctatum leptostachyum (Meisner) Small. 
Polygonum acre var. leptostachyuwm Meisner in DC. Prodr. 14: 108 (1856). 
Polygonum punctatum var. leptostachywm Small, Bull. Torr. Club, 19: 356 (1892). 
Slender and somewhat smaller than the species. Stem erect, 5-4 dm. long, slender; 
leaves mostly lanceolate, 3-8 cm. long, .5-2 cm. broad; racemes very slender, 4—20 em. 
long, much interrupted except near the summit; ocreolae distant, not imbricated. 
Vermont to California, south to Florida and Mexico. Also in New Granada. 
Polygonum punctatum robustior Small. 
Polygonum punctatum robustior Small, Bull. Torr. Club 21: 477 (1894). 
Robust, of a rather dull green color. Stem erect, 4-7°dm. long, often with a creep- 
ing base; leaves oblong or lanceolate, 3-17 cm. long, .5—4 cm. broad, the lower surface 
paler than the upper; ocreae 1-1.5 em. long, somewhat strigillose, frmged with long bris- 
tles, loose, inflated about the nodes; ocreolae continguous or imbricated, entire; pedicels 
3—4 mm. long; achene triquetrous, 3-4 mm. long, broadly oblong, smooth and shining. 
In the Atlantic States from Massachusetts to Florida, Central America and north- 
eastern South America. 
Polygonum punctatum eciliatum Small. 
Polygonum punctatum var. eciliatum Small, Bull. Torr. Club 20: 214 (1893). 
Rather stout and more robust than the species, less scurfy throughout. Stem erect, 
6-9 dm. long, much branched; leaves lanceolate or oblong-lanceolate, 3-12 cm. long, 
5-3 cm. broad, less punctate than in the normal form; ocreae 1-2 cm. long, loose, 
bearing no bristles; racemes 3-6 em. long, these as well as the adjacent part of the in- 
florescence of a dark reddish-purple color; achene triquetrous, 3.5 mm. long, broadly 
oblong, finely but plainly reticulated. 
Tennessee and Mexico. 
