Please note it's not finished, and the image I originally posted was simply to show the joint style that I think might work well on slab furniture.
Here's a shot of the sub-top assembled, showing the stringer:
In case anyone was wondering, here's the top. Again, not finished yet:
The wood is a New Zealand Native called Rimu (Dacrydium cupressinum). It was pulled out of an old farm building that was otherwise going to be razed (Dear Timber [insert the deity of your choice here], forgive them farmers, for they know not what they do).
If I think of it, I'll grab a few photos of some big outdoor bench-type seats that could be a great hybrid slab/post option if you guys are slabbing and able/patient enough to cut some fat (maybe 16"x16" or so) posts/cants with your saws also. I did some slightly more formal variations out of Macrocarpa (Cupressus macrocarpa), you lot might know it as Monterey Cypress, a while go but am sure they'd look good with a slab and post combo.
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