I believe you would need to mimic the Estimote indoor positioning system (SDK). As far as I know the Estimote SDK App provides you with a matrix of numbers (set of quotations) you copy&paste into your app and you are done. You solutions should follow their approach. Register (write down) 4+ iBeacons, place them on the walls and start collecting the data. Once you have enough data you should come up with a quotation(s) that will read your actual iBeacon readings and spit out the X,Y positions.
Happy hackin
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