Automatix rhymes with:
acoustics, acrobatics, aerobatics, aeronautics, aesthetics, agnostics, agrigenetics, analytics, anesthetics, antibiotics, antics, asthmatics, astronautics, athletics, atlantic's, attics, automatics, ballistics, baltics, batiks, bionetics, biotherapeutics, cadnetix, celtics, characteristics, charismatics, cognetics, cosmetics, criminalistics, critic's, critics, critics', democratic's, democratics, diabetics, diagnostics, dianetics, diuretics, domestics, dramatics, epileptics, esthetics, exotics, fanatics, genetics, geopolitics, gymnastics, helionetics, heuristics, hypnotics, identics, informatics, intermagnetics, kinetics, klezmatics, linguistics, logistics, magnetics, mathematics, metics, mystics, narcotics, numismatics, odetics, onomastics, optics, orthodontics, pharmakinetics, phonetics, plastics, pneumatics, prosthetics, robotics, romantics, semantics, semiotics, skeptics, statistics, statistics', synbiotics, synoptics, synthetics, systematics, tactics, telematics, therapeutics, thermoplastics
Automatix sounds like:
adenoids, admits, attendees, attends, attenuates, authentic, automates, automatic, automatics