Conformal Carter-Penrose diagrams are a useful tool to understand the causal properties of spacetimes. Focus will be on the visualization of hyperboloidal slices -- smooth spacelike slices reaching null infinity, which corresponds to the collection of the endpoints of future-directed null geodesics in asymptotically flat spacetimes. For time-independent slices of the Schwarzschild black hole geometry, I will explain how to integrate the height function to construct the diagrams. For numerically evolved slices using the eikonal equation, I will show diagrams depicting the relaxation of Schwarzschild trumpet slices and the collapse of a massless scalar field into a black hole. Based on the recent preprint 2311.04972 [gr-qc].