quarter note:    
q     q     q     
q       
ride 
cymbal:     x     x   x 
x     x   x 
snare:           o       o       o       
 
more intricate 3 over 4 example
quarter note:    
q     q     q     
q 
hi-hat                 x           
x
snare    
        o o o   o o o   o 
o o  
bass                   
o       o       
o
 
this one crosses bar lines and is a practical example 
of 5 over 3 fit into a 2 bar phrase.  Notice that there are 24 triples 
in 2 bars of 4/4.  You can fit 4 clean cycles of 5/triplet into that and be 
left with 4 triplets left, so it resolves at the end of the second bar - similar 
to James description of tying up the loose end of a polyrhythm towards the end 
of a rhythmic cycle (tintal).  the polyrhythm is mostly in the bass drum, 
with the snare drum playing a supporting role in both time 
signatures.
 
 
quarter note:    
q     q     q     
q     q     q     
q     q    
hi-hat                 x           
x        
   x           
x
snare    
        
o   o o     o   o  
 o   o     o o   o   o 
o  
bass                     
o         
o         
o         o 
   (o)    
  
 
There's another thing that happens a lot in jazz 
drumming called metric modulation, or implied metric.  This is when another 
time signiature is implied over the base time signiature.  this happens a 
lot playing in 3/4 time where a "duple" feel is introduced.  
Example:
 
duple metric modulation in 2 bars of 3/4 time (this 
works really well on 3/4 latin tunes - straight eights)
 
quarter note:    q   
q   q   q   q   q 
ride cymbal      
x     x   x 
x     x   x
 
 
not exaclty a polyrhythm but my favorite metric 
modulation right now: its a half time feel "slipped" by 2 triplet notes (I first 
heard this played by Elvin Jones on a Wayne Shorter Album though 
the name escapes me)
 
quarter note:    
q     q     q     
q     q     q     
q     q    
ride 
cymbal:     x     x   x 
x     x   x x    
 x   x x     x   x
snare            o   o       o   O       
o   o       
o   O            
hihat                 
           x            
           x
bass                 o            
           o           
 
OK, I'm tired of typing these in but if anyone has 
questions about examples of specific types of polyrhythms, ask me and I can try 
and type them up.  My all time favorite is a story about Richard Fynman 
(sp?) who is a famous physicist who also played bongo drums.  Apparently he 
got interested in polyrhythms and wouldn't stop until he could feel 12 over 13, 
or 12 beats played in the same amount of time as 13 beats!  I tried it a 
few times and I definitely don't feel it yet...  These kinds of things CAN 
get really mathematical and there are tricks to figuring them out which I can 
post if anyone wants.
Jon