'symmetrically-partitioned' originates from the combination of 'symmetrical' and 'partitioned'. 'Symmetrical' comes from the Greek word 'symmetria', where 'syn-' meant 'together' and 'metron' meant 'measure'. 'Partitioned' comes from the Latin word 'partitio', where 'part-' meant 'part' and '-itio' indicated an action or process.

'Symmetria' transformed into the Latin word 'symmetria', and eventually became the modern English word 'symmetrical'. 'Partitio' transformed into the Old French word 'particion', and eventually became the modern English word 'partition'.

Initially, 'symmetrical' meant 'having a common measure', but over time it evolved into its current meaning of 'having balanced proportions'. 'Partitioned' initially meant 'the action of dividing', and this meaning has largely remained the same in modern usage.