Activate six basic Islands by tapping them, adding six {U}.
Gauntlet of Power triggers six times, adding six {U}.
Cast Palinchron by paying {5}{U}{U}.
When Palinchron enters the battlefield, it triggers, untapping the six Islands and up to one additional land you control.
Activate Palinchron by paying {2}{U}{U}, returning it to your hand from the battlefield.
Repeat.

Infinite creature ETB

Infinite creature LTB

Infinite mana lands you control can produce

Infinite storm count

Infinite untap of lands you control

Palinchron

Gauntlet of Power

Cast any instant or sorcery spell by paying its mana cost, or wait for an opponent to cast one.
Holding priority, activate two basic Islands by tapping them, adding {U}{U}.
Gauntlet of Power triggers twice, adding {U}{U}.
Holding priority, activate Uyo by paying {2} and returning two basic Islands to your hand, copying the instant or sorcery.
Resolve the copy of the instant or sorcery.
Activate Patron of the Moon by paying {1}, putting two basic Islands from your hand onto the battlefield tapped.
When the Islands enter the battlefield, Amulet of Vigor triggers twice, untapping them.
Repeat from step 2.
Once you have infinite {U}, you may instead use any other lands you control to get infinite mana those lands produce.

Infinite copies of instant and sorcery spells on the stack

Infinite landfall triggers

Infinite magecraft triggers

Uyo, Silent Prophet

Patron of the Moon

Amulet of Vigor

Activate four Islands by tapping them, adding {U}{U}{U}{U}.
Gauntlet of Power triggers, adding {U}{U}{U}{U}.
Cast Parallax Tide by paying {2}{U}{U}.
Activate Parallax Tide four times by removing four fade counters from it, exiling the four tapped Islands.
Activate Heidar by paying {2} and tapping it, returning Parallax Tide from the battlefield to your hand.
When Parallax Tide leaves the battlefield, it triggers, returning all cards exiled with it to the battlefield.
When the Islands enter the battlefield, Retreat to Coralhelm triggers four times, untapping Heidar, and allowing you to untap up to three other creatures you control and/or scry 1 up to three times.
Repeat from step 2.

Infinite blinking of lands

Infinite mana basic lands you control can produce

Infinite mana creatures you control can produce

Infinite scry 1

Infinite untap of creatures you control

Heidar, Rimewind Master

Parallax Tide

Retreat to Coralhelm

Cast any instant or sorcery spell by paying its mana cost, or wait for an opponent to cast one.
Holding priority, activate two basic Islands by tapping them, adding {U}{U}.
Gauntlet of Power triggers twice, adding {U}{U}.
Holding priority, activate Uyo by paying {2} and returning two basic Islands to your hand, copying the instant or sorcery.
Resolve the copy of the instant or sorcery.
Activate Patron of the Moon by paying {1}, putting two basic Islands from your hand onto the battlefield untapped due to Archelos.
Repeat from step 2.
Once you have infinite {U}, you may instead use any other lands you control to get infinite mana those lands produce.

Archelos, Lagoon Mystic

Combos with "Gauntlet of Power"