This PDF file includes:

• fig. S1. A synthesis of fundamental differences between the nematocysts in cnidarians and dinoflagellates.
  
• fig. S2. Ultrastructure and discharge of nematocysts in P. kofoidii.
  
• fig. S3. Nematocyst development in P. kofoidii.
  
• fig. S4. Nematocyst development in Nematodinium sp.
  
• fig. S5. Contractile and projectile traits in the nematocysts of Nematodinium sp.
  
• fig. S6. Molecular phylogeny of dinoflagellates with complex extrusomes.
  
• fig. S7. Model of nematocyst homology and evolution in dinoflagellates.
  
• fig. S8. Cytoskeletal associations with the nematocyst-taeniocyst complex in P. kofoidii.
  
• Legends for movies S1 to S5
  
• References (40–44)

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Other Supplementary Material for this manuscript includes the following:

• movie S1 (.mpg format). FIB-SEM reconstruction of the nematocyst-taeniocyst complex in P. kofoidii.
  
• movie S2 (.mov format). Discharge of nematocyst isolated from P. kofoidii.
  
• movie S3 (.mpg format). Discharge of nematocyst isolated from P. kofoidii.
  
• movie S4 (.mpg format). P. kofoidii hunting L. polyedra.
  
• movie S5 (.mpg format). Discharge of a taeniocyst isolated from P. kofoidii.