APPENDIX 



219 



Table 52. This table shows the length of radius required in the 

 spherical type of curve to represent numbers ranging from one individ- 

 ual up to 864 million. The table is based on a value of one individual 

 equals a radius length of 0.25 millimeter. The length of the radius for 

 any number is determined by dividing the number by four, extracting 

 the cube root of the quotient, and then multiplying the cube root by 

 the value selected for one individual. Let the number be 6,912, for 

 example; dividing it by four gives 1,728, of which the cube root is 12, 

 and multiplying the latter by 0.25, the unit of value selected for this 

 table, gives a radius of 3.0 millimeters. The construction of the curve 

 is discussed on page 58. This table is taken from Lohmann's report 

 on nannoplankton (Wissensch. Meeresuntersuch., Abt. Kiel, N. F., Bd. 

 3, 1908, p. 361). 



The original diagrams used for figures 22 to 26 and figures 

 32 and 33 are based on a value of one individual equals a radius length 

 of 0.25 millimeter, but the original diagrams have been reduced to one 

 quarter size in reproducing them. 



Length of 



Number of 



Length of 



Number of 



Radius 



Individuals 



Radius 



Individuals 



0.25 mm. 



1 



16.0 mm. 



1,048,576 



0.5 



32 



17.0 



1 ,257 ,728 



1.0 



256 



18.0 



1,492,992 



1.5 



864 



19.0 



1 ,755 ,904 



2.0 



2,048 



20.0 



2 ,048 ,000 



2.5 



4,000 



25.0 



4,000,000 



3.0 



6,912 



30.0 



6 ,912 ,000 



3.5 



10,976 



35.0 



10,976,000 



4.0 



16 ,384 



40.0 



16 ,384 ,000 



4.5 



23 ,328 



45.0 



23,328,000 



5.0 



32 ,000 



50.0 



32,000,000 



5.5 



42,592 



55.0 



42 ,592 ,000 



6.0 



55 ,296 



60.0 



55 ,296 ,000 



6.5 



70,304 



65.0 



70,304,000 



7.0 



87 ,808 



70.0 



87,808,000 



7.5 



108 ,000 



75.0 



108 ,000 ,000 



8.0 



131 ,072 



80.0 



131,072,000 



8.5 



157,216 



85.0 



157,216,000 



9.0 



186,624 



90.0 



186 ,624 ,000 



9.5 



219 ,488 



95.0 



219 ,488 ,000 



10.0 



256 ,000 



100.0 



256 ,000,000 



11.0 



340,736 



110.0 



340,736,000 



12.0 



442 ,368 



120.0 



442 ,368 ,000 



13.0 



562 ,432 



130.0 



562,432,000 



14.0 



702 ,464 



140.0 



702,464,000 



15.0 



864 ,000 



150.0 



864,000,000 



