In the past twenty years several experiments have observed a large number of unexpected new particles which present unusual properties. We believe today that these "exotic" states are in fact bound states of four or five quarks; however, no consensus has been reached yet on their actual binding mechanism. This talk will review and contextualise the different theoretical models used to analyse the phenomenology of these states, the typical experimental signatures and the major discoveries and measurements performed during this 20-year long exotic trip. A particular focus will be dedicated to results from the LHCb experiment, which discovered about half of all the heavy exotic hadrons ever discovered, and its prospects for future measurements.
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