Mirror writing was a common phenomenon in the education system in biblical times. Greek children, whose parents used alphabets that were read in different directions - Greek speaking Hebrews, & Hebrew or Aramaic speaking Greeks - were taught to recite the alphabet from alpha to omega & omega to alpha.
Boustrophedonical writing (bi-directional writing) can be found in many archaic Near-Eastern inscriptions like Safaitic, Sabaean and Ancient Greek.
The crossover effect or pattern of inverted parallelism among several elements of a literary unit - called Chiasmus - may have been influenced by mirror writing. The ancient Hebrews perfected it - known as parallelismus membrorum - and it became a type of poetry and symmetrical wisdom that was carried over to our modern times.