I have been looking at shoe treads until my eyes cross every night... This really needs to go to one of the LE databases.
I agree it looks like the LA Gear. The shoes referenced above with the similar pattern are "vintage LA Gear Hiking Boots." I found several. Here is one example:
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Also, it does look to me like the main pattern repeats or is flipped underneath, as another user mentioned way earlier in this thread. I am no artist, but maybe something like this:
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Right now, I am looking at "over shoes" like the ones below, as well as safety shoes, and rubber boots with similar patterns, but have not found a close match.
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Finally, I found a tactical gear brand (combat/police boots) called LA Police Gear (LAPG). Have not found any close matches, but thought it was interesting:
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