One spiritual meaning... I was watching tv one time, and these scientists were doing an experiment. Long story short, they discovered that people with symmetrical body parts, especially in the face, were more attractive to the opposite sex, even though they couldn't pinpoint what it was about them. But more than that, that it was a sign. That people who were more symmetric were healthier and produced healthier babies.
Christ's Bride (the church) also has a symmetrical sign that she is perfect- spiritually more beautiful, spiritually the healthiest, and spiritually produces what is right and good. The semmetrical twin sides are the old and new testaments. In the new testament we spiritually do exactly what was done physically in the old testament. For example, in the O.T. a physically perfect lamb was sacrificed, and in the N.T. the spiritually perfect Lamb (of God) was sacrificed. In the old testament David fought physical battles, but in the N.T. our battles are spiritual (Ephesians 6). If someone comes up with a new testament meaning that does not match a physical example in the O.T., that is a clear sign that it comes from a false, man made church, and not Christ's genuine church.
Also, it shows that there's two sides, not one. some people try to make the old and new covenants one. They say we are under both. But the bible says we need to rightly divide the word of truth- O.T. And N.T.- not one testament. To be under Moses and Christ is wrong (Romans 7:1-4).