Activate Mana Vault by tapping it, adding {C}{C}{C}.
Forsaken Monument triggers, adding {C}.
Activate Voltaic Key by paying {1} and tapping it, targeting itself.
Rings of Brighthearth triggers, causing you to pay {2} to copy Voltaic Key's ability, targeting Mana Vault.
Resolve both Voltaic Key abilities, untapping it and Mana Vault.
Repeat.

Infinite colorless mana

Infinite untap of artifacts you control

Infinite mana artifacts you control can produce

Voltaic Key

Forsaken Monument

Rings of Brighthearth

Mana Vault

Activate Manascape Refractor using Blinkmoth Nexus' second ability by paying {1}.
Rings of Brighthearth triggers, choose not to pay.
Resolve the Manascape Refractor ability, causing it to become a 1/1 Blinkmoth artifact creature until end of turn.
Declare Manascape Refractor as an attacker.
Holding priority, activate Maze of Ith by tapping it, targeting Manascape Refractor.
Rings of Brighthearth triggers, choose not to pay.
Activate Manascape Refractor using Maze of Ith's ability by tapping it, targeting itself.
Rings of Brighthearth triggers, causing you to pay {2} to copy Manascape Refractor's ability, targeting Manascape Refractor.
Resolve the copy of Manascape Refractor's ability, untapping it.
Activate Manascape Refractor using Lotus Field's ability by tapping it, adding three mana of any color.
Resolve the original Manascape Refractor ability from step 7, untapping it.
Repeat from step 7.

Infinite colored mana

Maze of Ith

Lotus Field

Manascape Refractor

Blinkmoth Nexus

Activate Horn of Gondor by paying {3} and tapping it.
Rings of Brighthearth triggers. Choose not to pay.
Resolve the Horn of Gondor trigger, creating a number of 1/1 Human Soldier creature tokens equal to the number of Humans you control.
When the Humans enter the battlefield, Mana Echoes triggers that many times.
Resolve a Mana Echoes trigger, adding {C} for each Human and/or Soldier you control.
Repeat step 5 for each remaining trigger.
Activate Voltaic Key by paying {1} and tapping it, targeting itself.
Rings of Brighthearth triggers, causing you to pay {2} to copy Voltaic Key's ability, targeting Horn of Gondor.
Resolve both Voltaic Key abilities, untapping it and Horn of Gondor.
Repeat.

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