Activate Altar of Dementia by sacrificing Arid Archway.
When Arid Archway dies, Toph, Hardheaded Teach triggers, returning Arid Archway from your graveyard to the battlefield tapped.
When Arid Archway enters, it triggers, returning the artifact cast in step 1 from the battlefield to your hand, as it's a land due to Toph, the First Metalbender.
Resolve the Altar of Dementia ability
Repeat.
This clever loop turns the unique properties of Toph, the First Metalbender into a relentless engine by turning all your nontoken artifacts into lands. This status allows Arid Archway to target and bounce your zero-mana artifact back to your hand whenever the land enters the battlefield. Meanwhile, Toph, Hardheaded Teacher provides the vital earthbend trigger to animate Arid Archway into a creature, making it a legal sacrifice for Altar of Dementia. When that animated land is sacrificed to the Altar, its own delayed return trigger alongside Toph, Hardheaded Teacher's recursion ensures it slides right back onto the battlefield to restart the cycle.