Cast High Tide.
Tap the Island for {U}{U}.
Cast Ghostly Flicker targeting Archaeomancer and the Island.
Archaeomancer triggers twice, returning Ghostly Flicker and High Tide from your graveyard to your hand.
Cast High Tide.
Tap the Island for {U}{U}{U}.
Cast Ghostly Flicker targeting Archaeomancer and the Island.
Archaeomancer triggers twice, returning Ghostly Flicker and High Tide from your graveyard to your hand.
Cast High Tide.
Tap the island for {U}{U}{U}{U}.
Repeat, gaining mana each itteration.

Infinite blinking

Infinite blue mana

Infinite creature ETB

Infinite creature LTB

Infinite storm count

Naban, Dean of Iteration

Archaeomancer

High Tide

Ghostly Flicker

Cast Time Warp by paying {3}{U}{U}.
Jin-Gitaxias triggers, copying Time Warp.
Holding priority, cast Venser by paying {2}{U}{U}.
When Venser enters the battlefield, it triggers twice, returning itself and the original Time Warp to your hand from the battlefield and stack respectively.
Resolve the copy of Time Warp, causing you to take an extra turn after this one.
Repeat each turn.

Infinite turns

Lock

Jin-Gitaxias, Progress Tyrant

Venser, Shaper Savant

Time Warp

Cast Temporal Manipulation by paying {3}{U}{U}.
Jin-Gitaxias triggers, copying Temporal Manipulation.
Holding priority, cast Venser by paying {2}{U}{U}.
When Venser enters the battlefield, it triggers twice, returning itself and the original Temporal Manipulation to your hand from the battlefield and stack respectively.
Resolve the copy of Temporal Manipulation, causing you to take an extra turn after this one.
Repeat each turn.

Temporal Manipulation

Cast Nexus of Fate by paying {5}{U}{U}.
Jin-Gitaxis triggers, creating a copy of Nexus of Fate.
Holding priority, cast Venser by paying {2}{U}{U}.
Venser enters the battlefield, returning itself and original Nexus of Fate to your hand.
Resolve the Nexus of Fate copy, causing you to take an extra turn after this one.
Move to your extra turn.
Repeat.

Nexus of Fate

Cast Capture of Jingzhou by paying {3}{U}{U}.
Jin-Gitaxias triggers, copying Capture of Jingzhou.
Holding priority, cast Venser by paying {2}{U}{U}.
When Venser enters the battlefield, it triggers twice, returning itself and the original Capture of Jingzhou to your hand from the battlefield and stack respectively.
Resolve the copy of Capture of Jingzhou, causing you to take an extra turn after this one.
Repeat each turn.

Capture of Jingzhou

Cast Walk the Aeons by paying {4}{U}{U}.
Jin-Gitaxias triggers, copying Walk the Aeons.
Holding priority, cast Venser by paying {2}{U}{U}.
When Venser enters the battlefield, it triggers twice, returning itself and the original Walk the Aeons to your hand from the battlefield and stack respectively.
Resolve the copy of Walk the Aeons, causing you to take an extra turn after this one.
Repeat each turn.

Walk the Aeons

Cast Nexus of Fate by paying {5}{U}{U}.
Double Vision triggers, creating a copy of Nexus of Fate.
Holding priority, cast Venser by paying {2}{U}{U}.
Venser enters the battlefield, returning itself and original Nexus of Fate to your hand.
Resolve the Nexus of Fate copy, causing you to take an extra turn after this one.
Move to your extra turn.
Repeat.

Double Vision

Cast Walk the Aeons by paying {4}{U}{U}.
Double Vision triggers, copying Walk the Aeons.
Holding priority, cast Venser by paying {2}{U}{U}.
When Venser enters the battlefield, it triggers twice, returning itself and the original Walk the Aeons to your hand from the battlefield and stack respectively.
Resolve the copy of Walk the Aeons, causing you to take an extra turn after this one.
Repeat each turn.

Cast Time Warp by paying {3}{U}{U}.
Double Vision triggers, copying Time Warp.
Holding priority, cast Venser by paying {2}{U}{U}.
When Venser enters the battlefield, it triggers twice, returning itself and the original Time Warp to your hand from the battlefield and stack respectively.
Resolve the copy of Time Warp, causing you to take an extra turn after this one.
Repeat each turn.

Cast Capture of Jingzhou by paying {3}{U}{U}.
Double Vision triggers, copying Capture of Jingzhou.
Holding priority, cast Venser by paying {2}{U}{U}.
When Venser enters the battlefield, it triggers twice, returning itself and the original Capture of Jingzhou to your hand from the battlefield and stack respectively.
Resolve the copy of Capture of Jingzhou, causing you to take an extra turn after this one.
Repeat each turn.

Cast Temporal Manipulation by paying {3}{U}{U}.
Double Vision triggers, copying Temporal Manipulation.
Holding priority, cast Venser by paying {2}{U}{U}.
When Venser enters the battlefield, it triggers twice, returning itself and the original Temporal Manipulation to your hand from the battlefield and stack respectively.
Resolve the copy of Temporal Manipulation, causing you to take an extra turn after this one.
Repeat each turn.

Activate Spectral Arcanist by paying {1}{U}, blinking it.
Spectral Arcanist enters the battlefield, triggering itself and Deadeye Navigator's soulbond ability twice.
Resolve both Deadeye Navigator triggers, repairing it and Spectral Arcanist.
Resolve a Spectral Arcanist trigger, casting Hanabi Blast from your graveyard without paying its mana cost.
Storm-Kiln Aritst triggers, creating a Treasure token.
Resolve Hanabi Blast, dealing 2 damage to any target, returning Hanabi Blast to your hand, and then causing  you to discard Hanabi Blast.
Repeat from step 4 one additional time.
Activate both Treasure tokens by tapping and sacrificing them, adding {1}{U}.
Repeat.

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