Activate Emry by tapping it, allowing you to cast Lion's Eye Diamond from your graveyard.
Cast Lion's Eye Diamond by paying 0.
Displacer Kitten triggers, blinking Emry.
When Emry enters, it triggers, causing you to mill four cards.
Activate Lion's Eye Diamond by discarding your hand and sacrificing it.
Repeat.
This elegant loop turns Emry, Lurker of the Loch into a self-sustaining engine by utilizing her tap ability to continually replay Lion's Eye Diamond from your graveyard for zero mana. Each time you cast that artifact, Displacer Kitten triggers to blink Emry, which resets her tapped status and mills four cards upon re-entering the battlefield. While Dynaheir, Invoker Adept isn't strictly required for the baseline mana loop, her presence and haste-granting static ability fit right into the strategy alongside Emry, Lurker of the Loch's artifact affinity to easily leverage your repeated sacrifices and casts.