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designer_tutorials:tutorials:other_continents:other_continents [2017/04/12 13:58]
Kjeld [Collector Continents] Added examples and formulae
designer_tutorials:tutorials:other_continents:other_continents [2017/04/12 14:04] (current)
Kjeld [Collector Continents]
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 For example, if a board offers a collector's bonus of +1 for every pair of Type A territories, then the bonuses would be as follows: For example, if a board offers a collector's bonus of +1 for every pair of Type A territories, then the bonuses would be as follows:
  
-  * 1 Type A territory:   0  bonus+  * 1 Type A territory: 0  bonus
   * 2 Type A territories: 1  bonus   * 2 Type A territories: 1  bonus
   * 3 Type A territories: 3  bonus   * 3 Type A territories: 3  bonus
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   * Etc...   * Etc...
  
-The general mathematical formula for collectors bonuses is as follows, where C is the collectors bonus values and N is the number of territories with the collector trait that you control:+The general mathematical formula for collectors bonuses is as follows:
  
      C * N choose 2 = C * (N!)/(2(N-2)!)      C * N choose 2 = C * (N!)/(2(N-2)!)
 +     
 +     where C is the collectors bonus values and N is the number of territories with the collector trait that you control
  
 This can be a pain to input by hand into the Board Designer, which is why Ozyman's [[wgame:wgame|WGAME]] has a tool to automate the process. This technique originated with RiskyBack. This can be a pain to input by hand into the Board Designer, which is why Ozyman's [[wgame:wgame|WGAME]] has a tool to automate the process. This technique originated with RiskyBack.
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   * 5 Type A territories:  5 bonus   * 5 Type A territories:  5 bonus
  
-The general mathemetical formula is, C * (N!)/(2(N-2)!) - N.+The general mathemetical formula is, 
 + 
 +     C * (N!)/(2(N-2)!) - N
  
 It is also possible to set collector bonuses for triplets, quadruplets, and so forth, in which case the formula is: It is also possible to set collector bonuses for triplets, quadruplets, and so forth, in which case the formula is:
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      where M is the number of territories that constitutes a set (a pair is 2, a triplet is 3, and so forth).      where M is the number of territories that constitutes a set (a pair is 2, a triplet is 3, and so forth).
  
-A common application of this variant is to create a win condition for owning any combination of M of a total of N territories, as in Thingol's board [[Ravenloft 4]].+A common application of this variant is to create a win condition for owning any combination of M of a total of N territories, as in Thingol's board Ravenloft [[http://www.wargear.net/boards/view/Ravenloft+4]].
  
 ====Multiplier Continents==== ====Multiplier Continents====
 {{ :designer_tutorials:tutorials:other_continents:multiplier_continent_example.png|}} {{ :designer_tutorials:tutorials:other_continents:multiplier_continent_example.png|}}
 This design technique allows players to increase the bonus on an existing continent by also holding another territory or set of territories (kind of like an "upgrade" for that continent). In this example from [[boards:castles:castles|Castles]], the Austrian Empire (purple) gives a normal bonus of +4, but if you also hold the Budapest capital (the circle in the middle), the continent's value doubles, and it is worth +8 in total. This design technique allows players to increase the bonus on an existing continent by also holding another territory or set of territories (kind of like an "upgrade" for that continent). In this example from [[boards:castles:castles|Castles]], the Austrian Empire (purple) gives a normal bonus of +4, but if you also hold the Budapest capital (the circle in the middle), the continent's value doubles, and it is worth +8 in total.
designer_tutorials/tutorials/other_continents/other_continents.1492019902.txt.gz · Last modified: 2017/04/12 13:58 by Kjeld