the vertical dipole and radials

Just picture a 1/2 dipole horizontally -- then rotate it 90 degrees (or
stand it on end) -- same antenna -- different polarization.

So this picture should clarify why "No Radials".

The lower end is the other half of the dipole - it radiates in conjunction
with the upper half.

Others have advised you about the radiation from "Radials"

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73 From The Wilderness Keyboard