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The Nut in the Cellar
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I think you are into the same sort of top heavy scenario like a patio umbrella. That issue is resolved by using a heavy cast iron base that out weighs the top load with a much smaller diameter base. I recently made a much smaller table (24'x24") that was very top heavy. I was able to counter that mass with a smaller base that contained a bit more wood than the top. The base is enclosed so you don't see the extra wood. Your design is very different, but may need the same sort of counter balancing. Any way you could introduce some steel into the interior of the base thus hiding it from view? I made a wooden lathe base with more mass by filling recesses in the base with lead (could use steel) shot and then pouring epoxy into the recesses locking the little balls into place forever.
 
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