Activate Altar of Dementia by sacrificing the persist or undying creature.
When the creature dies, its persist or undying ability triggers, returning it from your graveyard to the battlefield without a -1/-1 counter or a +1/+1 counter on it due to Solemnity.
Resolve the Altar of Dementia ability.
Repeat.

Infinite LTB

Infinite ETB

Infinite sacrifice triggers

Infinite death triggers

Infinite mill

Infinite self-mill

Creature with Persist or Undying

Solemnity

Altar of Dementia

Activate Altar of Dementia by sacrificing a creature without flying.
When the creature dies, Luminous Broodmoth triggers, returning the creature from your graveyard to the battlefield without a flying counter on it due to Solemnity.
Resolve the Altar of Dementia ability.
Repeat.

Luminous Broodmoth

Activate Altar of Dementia by sacrificing the additional creature.
When the creature dies, its undying ability triggers, returning it to the battlefield from your graveyard with zero +1/+1 counters due to Solemnity.
Resolve the Altar of Dementia ability from step 1, causing target player to mill cards equal to the sacrificed creature's power.
Repeat.

Mikaeus, the Unhallowed

Activate Altar of Dementia by sacrificing another nontoken creature without a -1/-1 counter on it.
When the creature dies, its persist ability triggers, returning it from your graveyard to the battlefield without a -1/-1 counter on it due to Solemnity.
Resolve the Altar of Dementia ability.
Repeat.

Eirdu, Carrier of Dawn // Isilu, Carrier of Twilight

Cast Chronozoa by paying {3}{U}. It will enter without a time counter on it due to Solemnity.
Activate Altar of Dementia by sacrificing Chronozoa.
When Chronozoa dies, it triggers, creating two token copies of itself that also enter with no time counters on them due to Solemnity.
Resolve the Altar of Dementia ability.
Repeat from step 2 using a token copy of Chronozoa instead.

Infinite creature tokens

Chronozoa

Activate Altar of Dementia by sacrificing Unstoppable Slasher.
When Unstoppable Slasher dies, its second ability triggers, returning it from your graveyard to the battlefield with zero stun counters due to Solemnity.
Resolve the Altar of Dementia ability, causing target player to mill cards equal to Unstoppable Slasher's power.
Repeat.

Unstoppable Slasher

Activate Altar of Dementia by sacrificing Ornithopter.
Cast Ornithopter from your graveyard by paying {0}. It will not enter with a finality counter on it due to Solemnity.
Repeat.

Infinite storm count

Leonardo, Sewer Samurai

Ornithopter

Cast Rhys by paying {1}{W} plus commander tax if applicable.
When Rhys enters, it triggers, giving Reveillark persist until end of turn.
Activate Altar of Dementia by sacrificing Rhys.
Activate Altar of Dementia by sacrificing Reveillark.
When Reveillark dies, its ability and its persist ability trigger.
Resolve the persist trigger, returning Reveillark from your graveyard to the battlefield without a -1/-1 counter on it due to Solemnity.
Resolve the second trigger, returning Rhys from your graveyard to the battlefield.
When Rhys enters, it triggers, giving Reveillark persist until end of turn.
Resolve the Altar of Dementia ability from step 4.
Repeat from step 3.

Rhys, the Evermore

Reveillark

Activate Altar of Dementia by sacrificing a Villain without a finality counter on it.
When the Villain dies, Thunderbolts Conspiracy triggers, returning it from your graveyard to the battlefield without a finality counter on it due to Solemnity.
Resolve the Altar of Dementia ability.
Repeat.

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