The effective resolution is listed here:
Ricoh Theta S Review - Specifications | PentaxForums.com Reviews
I would go with the Theta S, since it has more than twice the resolution of the original and m15.
For a flat projection, 30x40cm might be a bit optimistic, since you only get half the quoted resolution per lens, unless you're willing to settle for a different aspect ratio.
You can use the Theta desktop program to play with images (download it to see for yourself and try opening the full-size JPEGs
linked on this page).
If you really want to get fancy, you can use mathematical software such as Matlab to project the image onto spheres and other solids.
Adam
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