Delta-Gamma Neutral Self Financing

Quote from atticus:

You can't construct a passive position which maintains neutral gammas. There is nothing to solve algebraically; you can't isolate vega without a continuous hedge.

IV: dgamma/dspot isn't necessary. The OP is looking for something that doesn't exist.
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That's what I thought , thanks Atty
 
The only position(s) which satisfy the OP requirement are what Profitaker alluded to: conversions, boxes or rolls. Long the box at a large discount to the strike-differential over carry can solve for 500bp in vol-edge. Approximately $.40 on a 5-strike, 30d box and $.12 on a conversion, net of carry. Large premiums on short box/rolls. The only positions flat greeks along the distribution, excluding rho.
 
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