For hundreds of years our understanding of how planets form was limited to only the Solar System, but since the discovery of the first extra-solar planets (in the 1990s) our knowledge of planetary systems has increased at a startling rate; we now know of thousands of exoplanet systems. There have been many unexpected discoveries, but the biggest surprises was that most of the systems we observe look nothing like our own: we see “hot Jupiters” which orbit their stars in just a few days, planets which meander across entire solar systems on highly eccentric orbits, compact systems with five or six giant planets in tightly-packed short-period orbits, and even planets orbiting twin, binary suns. However, this huge advance in our knowledge has not yet led to a corresponding increase in our understanding, and many aspects of the planet formation process remain a mystery. The BuildingPlanS project aims to understand the origins of the enormous diversity we see in exoplanet architectures, by relating the properties of exoplanet systems to their formation in cold discs of dust and gas orbiting around young, newly-formed stars.