Archaeomancer + Burnt Offering Combos

3 known combos featuring both cards in Commander

Infinite death triggers Infinite ETB Infinite LTB Infinite sacrifice triggers Infinite creature tokens with haste

Combo 1 with Inalla, Archmage Ritualist + Persist

Results: Infinite creature tokens with haste · Infinite death triggers · Infinite ETB · Infinite lifeloss · Infinite LTB · Infinite magecraft triggers · Infinite sacrifice triggers · Infinite storm count
Steps
  1. Cast Burnt Offering by paying {B} and sacrificing Archaeomancer, adding {2}{B}{B}.
  2. Cast Persist by paying {1}{B}, returning Archaeomancer from your graveyard to the battlefield with a -1/-1 counter on it.
  3. Archaeomancer enters the battlefield, triggering itself and Inalla.
  4. Resolve the Archaeomancer trigger, returning Burnt Offering from your graveyard to your hand.
  5. Resolve the Inalla trigger, causing you to pay {1} to create a token copy of Archaeomancer with haste.
  6. The token Archaeomancer enters the battlefield, returning Persist from your graveyard to your hand.
  7. Repeat.
  8. Once you have infinite Archaeomancer tokens, if Inalla is on the battlefield, you may activate Inalla's ability infinite times to cause infinite lifeloss for opponents.
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Combo 2 with Inalla, Archmage Ritualist + Spellseeker + Culling the Weak +5 more

Also requires: Inalla, Archmage Ritualist Inalla, Archmage Ritualist Spellseeker Spellseeker Culling the Weak Culling the Weak Shallow Grave Shallow Grave Finale of Promise Finale of Promise Reanimate Reanimate Entomb Entomb Unearth Unearth
Results: Infinite creature tokens with haste · Infinite death triggers · Infinite ETB · Infinite LTB · Infinite sacrifice triggers
Show steps
  1. Cast Spellseeker, stacking Inalla's trigger under Spellseeker's ETB trigger.
  2. Tutor Culling the Weak to hand with Spellseeker's ability.
  3. Cast Culling the Weak, sacrificing Spellseeker and adding {B}{B}{B}{B}.
  4. Resolve and pay for the Inalla trigger from earlier, creating a token copy of Spellseeker and leaving {B}{B}{B} floating.
  5. When the token ETBs, tutor Unearth to your hand.
  6. Unearth Spellseeker, leaving {B}{B} floating.
  7. Shortcut resolving both Inalla's trigger and Spellseeker's ETB, tutoring for Burnt Offering and Finale of Promise, leaving {B} floating.
  8. Cast Burnt Offering, sacrificing Spellseeker and adding {B}{R}{R}.
  9. Use that mana to cast Finale of Promise with X=1 targeting Unearth and Culling the Weak.
  10. Sacrifice a Spellseeker token to Culling the Weak for {B}{B}{B}{B} and Unearth Spellseeker.
  11. Resolve Spellseeker's ETB and Inalla's trigger, tutoring Entomb and Reanimate into hand.
  12. Entomb and then Reanimate Archaeomancer, leaving {B} floating.
  13. Resolve Archaeomancer's ETB, returning Burnt Offering from your graveyard to your hand.
  14. Cast Burnt Offering on Archaeomancer, adding {B}{B}{B}{B}.
  15. Resolve the Inalla trigger from when Archaeomancer ETB'd and return Reanimate to your hand, leaving {B}{B}{B} floating.
  16. Reanimate Archaeomancer and resolve the Inalla trigger, retrieving Burnt Offering and FInale of promise, {B} floating.
  17. Sacrifice Archaeomancer to Burnt Offering, adding {R}{R}{B}{B}.
  18. Cast FInale of Promise with X=1 targeting Entomb and Reanimate.
  19. Entomb Shallow Grave and Reanimate Archaeomancer, {B} floating.
  20. Resolve the Archaeomancer trigger returning Burnt Offering from your graveyard to your hand.
  21. Sacrifice Archaeomancer to Burnt Offering, adding {B}{B}{B}{B}.
  22. Resolve the Inalla trigger, making a token copy of Archaeomancer with haste and leaving {B}{B}{B} floating.
  23. Return Shallow Grave with the token copy's ETB.
  24. Cast Shallow Grave targeting Archaeomancer, leaving {B} floating.
  25. Repeat steps 20-24 for infinite hasty Archaeomancers.

Combo 3 with Saw in Half

Also requires: Saw in Half Saw in Half
Results: Infinite LTB · Infinite ETB · Infinite sacrifice triggers · Infinite death triggers · Infinite storm count · Infinite magecraft triggers
Show steps
  1. Cast Saw in Half by paying {2}{B}, destroying Archaeomancer and creating two token copies of it with base power equal to half the destroyed creature's power and base toughness equal to half the destroyed creature's toughness, rounding up each time.
  2. When the Archaeomancer tokens enter the battlefield, they trigger, returning Saw in Half and Burnt Offering from your graveyard to your hand.
  3. Cast Burnt Offering by paying {B} and sacrificing a Archaeomancer token, adding {B}{B} plus an additional amount of {B} and/or {R} equal to its mana value minus 2.
  4. Repeat.
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