2xinfinitey=1 (or some other finite number). I realize that Zeno's Paradox does you absolutely no good here, but i figure i need to use my degree for something...right.
What f/stop are you and Sugimoto working at? Try framing the photograph, focusing to 2x infinity, and then stopping all the way down. Are either of you using camera movements in order to increase depth of field?
Remember that when you are work at 2x infinity you will need to account for bellows factor, which will be pretty easy to figure out. Just double you exposure and it will be perfect.
Interesting idea. I wish you the best of luck. Post some pieces when you finish!!!
Yours;
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