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The morphology of abrupt bursts of magnetic flux into superconducting films with engineered periodic pinning\udcenters (antidots) has been investigated. Guided flux avalanches of thermomagnetic origin develop a treelike\udstructure, with the main trunk perpendicular to the borders of the sample, while secondary branches follow welldefined\uddirections determined by the geometrical details of the underlying periodic pinning landscape. Strikingly,\udwe demonstrate that in a superconductor with relatively weak random pinning the morphology of such flux\udavalanches can be fully controlled by proper combinations of lattice symmetry and antidot geometry. Moreover,\udthe resulting flux patterns can be reproduced, to the finest details, by simulations based on a phenomenological\udthermomagnetic model. In turn, this model can be used to predict such complex structures and to estimate\udphysical variables of more difficult experimental access, such as the local values of temperature and electric\udfield

Controllable morphology of flux avalanches in microstructured superconductors