Build a Roman arch stone by stone. Place the keystone last — and feel the moment compression takes over and the structure becomes self-supporting. Then load it and see what happens to a pile vs. an arch.
A pile of stones falls. An arch stands — and the heavier you load it, the tighter the joints squeeze together. The arch converts every downward load into outward thrust, which the abutments absorb. No mortar required for the Romans' biggest arches — gravity itself was the adhesive.
The keystone is last, not first. All voussoir stones lean on each other through a wooden centering frame. The keystone drops into the crown, the centering is removed, and the arch becomes a self-supporting compression ring.