Holding priority, activate Abstruse Archaic by paying ({1} magic symbol) and tapping it, copying Ulalek's trigger.
Resolve the copied Ulalek trigger, causing you to pay ({C} magic symbol) ({C} magic symbol) and creating a copy of the Writhing Chrysalis spell, Writhing Chrysalis's trigger, and Ulalek's trigger.
Resolve the copied Ulalek trigger, causing you to pay ({C} magic symbol) ({C} magic symbol) and creating a copy of at least two Writhing Chrysalis spells, at least two Writhing Chrysalis's triggers, and Ulalek's trigger.
Resolve a Writhing Chrysalis trigger, creating two Eldrazi Spawn tokens.
Activate two Eldrazi Spawn tokens by sacrificing them, adding ({C} magic symbol) ({C} magic symbol) .
Repeat from 5 any number of times.
Once you have infinite copies of the spells and triggers, you can resolve them all, activate any number of Eldrazi Spawn tokens, and trigger all Writhing Chrysalis's final abilities.
Notes
You may also perform this combo with ({C} magic symbol) ({C} magic symbol) less starting mana, skipping step 5. This does not result in infinite colorless mana or infinite creature tokens.