This is the simplest UHF antenna. Each half of the dipole is soldered to a conductor of the coaxial cable. The dipole is formed of heavy gauge insulated copper mains wire and its junction with the coaxial cable has been covered with black heat-shrink. Twisting has given it enough strength to be usable. The soldering involved is a bit fiddly, though.

Another (and easier) connection method, having carefully prepared the cable as shown here, is to use terminal strip to join the cable to the dipole:

This has the advantage of requiring no soldering.

Yet another option, if you have a cable with connectors on both ends, is to use a matching F-series socket. In this case the dipole arms are soldered to the tabs on the socket:

This is what's inside my own shoebox, and it works like a charm.

This last picture is purely for inspiration. Note the antenna on the plant pot at left :

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