﻿Balanced 
  Crosses 
  305 
  

  

  seven 
  differentiating 
  marks 
  16,384 
  individuals 
  

   are 
  required 
  for 
  a 
  complete 
  series. 
  And 
  in 
  

   this 
  set 
  the 
  group 
  with 
  the 
  seven 
  attributes 
  all 
  

   in 
  a 
  latent 
  condition 
  would 
  contain 
  only 
  a 
  

   single 
  individual. 
  

  

  Unfortunately 
  the 
  practical 
  value 
  of 
  these 
  

   calculations 
  is 
  not 
  very 
  great. 
  They 
  indicate 
  

   the 
  size 
  of 
  the 
  cultures 
  required 
  to 
  get 
  all 
  the 
  

   possible 
  combinations, 
  and 
  show 
  that 
  in 
  ordi- 
  

   nary 
  cases 
  many 
  thousands 
  of 
  individuals 
  have 
  

   to 
  be 
  cultivated, 
  in 
  order 
  to 
  exhaust 
  the 
  whole 
  

   range 
  of 
  possibilities. 
  They 
  further 
  show 
  that 
  

   among 
  all 
  these 
  thousands, 
  only 
  very 
  few 
  are 
  

   constant 
  in 
  all 
  their 
  characters 
  ; 
  in 
  fact, 
  it 
  may 
  

   easily 
  be 
  seen 
  that 
  with 
  seven 
  differentiating 
  

   points 
  among 
  the 
  16,384 
  named 
  above, 
  only 
  one 
  

   individual 
  will 
  have 
  all 
  the 
  seven 
  qualities 
  in 
  

   pure 
  active, 
  and 
  only 
  one 
  will 
  have 
  them 
  all 
  in 
  a 
  

   purely 
  dormant 
  condition. 
  Then 
  there 
  will 
  be 
  

   some 
  with 
  some 
  attributes 
  active 
  and 
  others 
  

   latent, 
  but 
  their 
  numbers 
  will 
  also 
  be 
  very 
  small. 
  

   All 
  others 
  will 
  split 
  up 
  in 
  the 
  succeeding 
  genera- 
  

   tion 
  in 
  regard 
  to 
  one 
  or 
  more 
  of 
  their 
  appar- 
  

   ently 
  active 
  marks. 
  And 
  since 
  only 
  in 
  very 
  

   rare 
  cases 
  the 
  stable 
  hybrids 
  can 
  be 
  distin- 
  

   guished 
  by 
  external 
  characters 
  from 
  the 
  un- 
  

   stable 
  ones, 
  the 
  stability 
  of 
  each 
  individual 
  

   bearing 
  a 
  desired 
  combination 
  of 
  characters 
  

   would 
  have 
  to 
  be 
  established 
  by 
  experiment 
  

  

  