At the beginning of your upkeep, Mechanized Production triggers, create a token copy of Worldwalker Helm plus a Map token.
Activate Urza's first ability by tapping a Worldwaker Helm and a Map, adding {U}{U}.
Activate a Worldwalker Helm by paying {1}{U} and tapping it, creating a token copy of the Worldwalker Helm token plus a Map token for each Worldwalker Helm you control.
Activate Urza's first ability twice by tapping two Maps, adding {U}{U}.
Repeat from step 3.

Infinite artifact tokens

Infinite blue mana

Exile your library

Cast all spells in your library

Infinite Map tokens

Urza, Lord High Artificer

Worldwalker Helm

Mechanized Production

Cast Three Steps ahead selecting its second Spree cost by paying {3}{U}, creating a token copy of Worldwalker Helm and a Map token.
Activate Urza's first ability by tapping a Worldwaker Helm and a Map, adding {U}{U}.
Activate a Worldwalker Helm by paying {1}{U} and tapping it, creating a token copy of the Worldwalker Helm token plus a Map token for each Worldwalker Helm you control.
Activate Urza's first ability twice by tapping two Maps, adding {U}{U}.
Repeat from step 3.

Three Steps Ahead

At the beginning of your end step, Artificer Class's level 3 ability triggers, creating a token copy of Worldwalker Helm plus a Map token
Activate Urza's first ability twice by tapping a Worldwaker Helm and a Map, adding {U}{U}.
Activate a Worldwalker Helm by paying {1}{U} and tapping it, creating a token copy of the Worldwalker Helm token plus a Map token for each Worldwalker Helm you control.
Activate Urza's first ability twice by tapping two Maps, adding {U}{U}.
Repeat from step 3.

Artificer Class

Activate Urza, Prince of Kroog by paying {6}, creating a token copy of Worldwalker Helm that is a 1/1 Soldier and creating a Map token.
Activate Urza, Lord High Artificer's first ability by tapping a Worldwaker Helm and a Map, adding {U}{U}.
Activate a Worldwalker Helm by paying {1}{U} and tapping it, creating a token copy of the Worldwalker Helm token plus a Map token for each Worldwalker Helm you control.
Activate Urza, Lord High Artificer's first ability twice by tapping two Maps, adding {U}{U}.
Repeat from step 3.

Infinite creature ETB

Infinite creature tokens

Infinite creature copies of artifacts you control

Urza, Prince of Kroog

Cast Worldwalker Helm by paying {2}{U}.
When Worldwalker Helm enters the battlefield, Mirrorworks triggers, causing you to pay {2} to create a token copy of Worldwalker Helm and a Map token.
Activate Urza's first ability by tapping a Worldwaker Helm and a Map, adding {U}{U}.
Activate a Worldwalker Helm by paying {1}{U} and tapping it, creating a token copy of the Worldwalker Helm token plus a Map token for each Worldwalker Helm you control.
Activate Urza's first ability twice by tapping two Maps, adding {U}{U}.
Repeat from step 4.

Mirrorworks

Cast Relm's Sketching by paying {2}{U}{U}, creating a token copy of Worldwalker Helm and a Map token.
Activate Urza's first ability twice by tapping a Worldwaker Helm and a Map, adding {U}{U}.
Activate a Worldwalker Helm by paying {1}{U} and tapping it, creating a token copy of the Worldwalker Helm token plus a Map token for each Worldwalker Helm you control.
Activate Urza's first ability twice by tapping two Maps, adding {U}{U}.
Repeat from step 3.

Relm's Sketching

At the beginning of your upkeep, Court of Vantress triggers, creating a token copy of Worldwalker Helm plus a Map token.
Activate Urza's first ability twice by tapping a Worldwaker Helm and a Map, adding {U}{U}.
Activate a Worldwalker Helm by paying {1}{U} and tapping it, creating a token copy of the Worldwalker Helm token plus a Map token for each Worldwalker Helm you control.
Activate Urza's first ability twice by tapping two Maps, adding {U}{U}.
Repeat from step 3.

Court of Vantress

Cast Echo Storm by paying {3}{U}{U}, creating at least one copy of Worldwalker Helm plus a Map token.
Activate Urza's first ability twice by tapping a Worldwaker Helm and a Map, adding {U}{U}.
Activate a Worldwalker Helm by paying {1}{U} and tapping it, creating a token copy of the Worldwalker Helm token plus a Map token for each Worldwalker Helm you control.
Activate Urza's first ability twice by tapping two Maps, adding {U}{U}.
Repeat from step 3.

Infinite copies of a specific artifact

Echo Storm

Cast Molten Duplication by paying {1}{R}, creating a copy of Worldwalker Helm plus a Map token.
Activate Urza's first ability by tapping a Worldwaker Helm and a Map, adding {U}{U}.
Activate a Worldwalker Helm by paying {1}{U} and tapping it, creating a token copy of the Worldwalker Helm token plus a Map token for each Worldwalker Helm you control.
Activate Urza's first ability twice by tapping two Maps, adding {U}{U}.
Repeat from step 3.

Molten Duplication

Cast Stolen Identity by paying {4}{U}{U}, creating a token copy of Worldwalker Helm and a Map token.
Activate Urza's first ability by tapping a Worldwaker Helm and a Map, adding {U}{U}.
Activate a Worldwalker Helm by paying {1}{U} and tapping it, creating a token copy of the Worldwalker Helm token plus a Map token for each Worldwalker Helm you control.
Activate Urza's first ability twice by tapping two Maps, adding {U}{U}.
Repeat from step 3.

Stolen Identity

Cast Worldwalker Helm by paying {2}{U}.
When Worldwalker Helm enters, Replication Specialist triggers, allowing you to pay {1}{U} to create a copy of Worldwalker Helm plus a Map token.
Activate Urza's first ability by tapping a Worldwaker Helm and a Map, adding {U}{U}.
Activate a Worldwalker Helm by paying {1}{U} and tapping it, creating a token copy of the Worldwalker Helm token plus a Map token for each Worldwalker Helm you control.
Activate Urza's first ability twice by tapping two Maps, adding {U}{U}.
Repeat from step 4.

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