An electronic device may be provided with millimeter wave transceiver circuitry and an antenna having a ground and a resonating element. The resonating element may include first and second patches symmetrically distributed about an axis. The antenna may be fed using an antenna feed having a first feed terminal coupled to both the first and second patches and a second feed terminal coupled to the ground. The first feed terminal may be coupled to the first patch at a side closest to the second patch and may be coupled to the second patch at a side closest to the first patch. The first and second patches may be shorted to the ground if desired. Antenna currents on the first patch may be 180 degrees out of phase with antenna currents on the second patch. The antenna may be arranged in an array of antennas with different polarizations.