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IF when you sweep the radials up towards the monopole  & observe resonant frequency rise while impedance drops necessitating a gamma feed at that radial spacing due to the capacitance between radials & monopole & that increases loss,


Why is it that the 4 radial versions using the same spacing/hoop size have an edge in performance over the 3 radial version that has less capacitance between radials & monopole?


Homer if you space the radials the correct distance from the monopole you can isolate the monopole from the radials like a skeleton sleeve fed monopole & dispense with the gamma,


do you get the compression of the pattern & extra gain talked about in the open sleeve antenna article ? I don't know,


I think Freecells idea of improving the design is to ground mount the 3/4wave monopole over a huge

radial system, which may work for you if you live like a scarecrow in a massive corn field but not if you live surrounded by obstructions in a town/city.