Re-districting without gerrymandering

A serious proposal as well as an opportunity for critical thinking: What holes or objections can readers identify?

Proportional representation eliminates gerrymandering by treating the whole state as one district and assigning multiple seats in that state according to the proportion of the vote gained by a given party. But let me put aside that possibility and stay with the traditional subdivision of a state into districts. Here is a way to do re-districting without gerrymandering and to reduce risk that votes for one party will be concentrated into a few districts.
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