I have no idea. Just making observation. You think Oswald walked east then west after leaving 1026? A sort of random path. Perhaps you could provide a map with your best guess.
Well, since you asked...
(And remember, this is only my best guess. who really knows?)
I believe Oswald walked down Beckley, took a left onto Davis and then a right onto Patton. Then I believe he took a left onto Tenth and walked a couple blocks towards Marsalis. Dale Myers told me that there was a Dallas County Sherriff's car parked near Marsalis and Tenth. I think perhaps Oswald got spooked by that and reversed direction on Tenth and is now walking west on Tenth.
I know, this has him heading somewhat towards Ruby's apartment.
Honestly, I don't like to speculate about Oswald's path and/or where he was intending to go. But one thing seems certain, he was not heading to the theater until AFTER he shot Tippit.