Cast Lotus Petal by paying {0}.
Displacer Kitten triggers, blinking Tamiyo.
Activate Lotus Petal by tapping and sacrificing it, adding one mana of any color.
Activate Tamiyo's second loyalty ability by removing three loyalty counters from it, returning Lotus Petal from your graveyard to your hand.
Repeat.

Infinite colored mana

Infinite storm count

Tamiyo, Collector of Tales

Displacer Kitten

Lotus Petal

Cast Lion's Eye Diamond by paying {0}.
Displacer Kitten triggers, blinking Tamiyo.
Activate Lion's Eye Diamond by tapping it, sacrificing it and discarding your hand, adding three mana of any color.
Activate Tamiyo's second loyalty ability by removing three loyalty counters from it, returning Lion's Eye Diamond from your graveyard to your hand.
Repeat.

Lion's Eye Diamond

Cast Planewide Celebration by paying {5}{G}{G}, Proliferating Magistrate's Scepter and Tamiyo four times.
Activate Tamiyo's second ability by removing three loyalty counters to return Planewide Celebration from your graveyard to your hand.
Activate Magistrate's Scepter by tapping it and removing three charge counters, taking an extra turn after this one.
Pass the turn.
Repeat.

Infinite turns

Lock

Magistrate's Scepter

Planewide Celebration

Cast Fractured Identity by paying {3}{W}{U}, exiling Eater of Days and creating a token copy under each opponent's control.
Each Eater of Days enters the battlefield, triggering itself, causing each opponent to skip their next two turns.
Activate Tamiyo's first loyalty ability by putting a loyalty counter on it, choosing any card name.
Activate Tamiyo's second loyalty ability by removing three loyalty counters from it, returning Fractured Identity from your graveyard to your hand.
Move to your next turn.
Cast Fractured Identity by paying {3}{W}{U}, exiling an opponent's Eater of Days token, creating a copy with no abilities under your control and a copy with abilities under each other opponent's control.
Each new Eater of Days not controlled by you enters the battlefield, triggering itself, causing its controller to skip their next two turns.
Activate Tamiyo's first loyalty ability twice by putting two loyalty counters on it, choosing any card names.
Move to your next turn.
Activate Tamiyo's first loyalty ability by putting a loyalty counter on it, choosing any card name.
Activate Tamiyo's second loyalty ability by removing three loyalty counters from it, returning Fractured Identity from your graveyard to your hand.
Cast Fractured Identity by paying {3}{W}{U}, exiling an Eater of Days you control, or, if you control none, an Eater of Days not controlled by the opponent with the fewest skipped turns remaining, exiling it and creating a copy under each other player's control.
Each new Eater of Days not controlled by you enters the battlefield, triggering itself, causing its controller to skip their next two turns.
Move to your next turn.
Repeat from step 8 until each opponent has skipped turns equal to four times the number of opponents you have.
The player of your choice takes a turn.
Repeat from step 15.

Near-infinite turns

Overwhelming Splendor

Eater of Days

Oath of Teferi

Fractured Identity

Cast Mythos of Illuna by paying {2}{U}{U}, targeting anything.
In response, cast Radiate by paying {3}{R}{R}, creating copies of Mythos of Illuna that target each permanent besides the original target.
Resolve all copies of Mythos of Illuna including the original, creating token copies of each permanent.
Activate a copy of Tamiyo by removing three loyalty counters from it, returning Radiate from your graveyard to your hand.
Activate another copy of Tamiyo by removing three loyalty counters from it, returning Mythos of Illuna from your graveyard to your hand.
Activate the token lands or other mana-producing permanents created in step 3 by tapping them, adding at least {5}{U}{U}{R}{R}.
Repeat, doubling the number of copies created in step 3 each repetition.
Once you have infinite nonlegendary copies of Tamiyo, you may activate Tamiyo abilities any number of times.

Put all cards from your library and graveyard into your hand

Infinite copies of all permanents

Infinite magecraft triggers

Infinite mana permanents on the battlefield can produce

Infinite self-mill

Return all cards from your graveyard to your hand

Mythos of Illuna

Radiate

Spark Double

Activate Chandra's first loyalty ability by putting a loyalty counter on it, adding {1}{W}.
Cast Flicker by paying {1}{W}, targeting Tamiyo.
Chandra triggers, causing you to copy Flicker, with the copy targeting Chandra.
Resolve both Flickers, blinking Chandra and Tamiyo.
Activate Tamiyo's third loyalty ability by removing three loyalty counters from it, returning Flicker to your hand from your graveyard.
Repeat.

Chandra, Hope's Beacon

Flicker

Combos with "Tamiyo, Collector of Tales"