The main aim of the talk is to present an original proof of a scaling limit for an isotropic model that describes random aggregation in a planar context, namely the AHL(ν) model. In order to achieve this, we will first define the classical HL(0) model and present the scaling limit result proved by J. Norris and A. Turner in 2012. Then we will introduce the AHL(0) as an isotropic variation of the previous one and prove its scaling limit. Based on joint work with V. Silvestri.