'toroidality' originates from Modern English, specifically built from the stem 'toroid' plus the noun-forming suffix '-ality' (from Latin '-alis' + '-ity'), where 'toroid' itself is formed from 'torus' with the suffix '-oid' meaning 'likeness'.

'toroidality' developed from the word 'toroid' (a 19th-century formation from Latin 'torus' via Greek 'tóros' plus Greek-derived suffix '-oid'), and the modern English noun was formed by adding the Latinate suffix '-ality' to create an abstract noun meaning 'the state of being toroidal'.

Initially, related forms referred specifically to shapes like a 'torus' (a bulging ring); over time the derived noun came to denote the general property or state of being toroidal, a usage that remains in modern technical contexts.