The best replacement for dichotomy is trichotomy.

The best alternatives to dichotomy are rated as following:
★★★★★  trichotomy
★★  binary
★★  duality
★★  continuum
★★  paradox
★★  juxtaposition
★  dialectic
★  oxymoron
★  dilemma
★  contradiction
  dualism
  polytomy
  false dilemma

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Google Trends

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