The recently introduced 3D Gaussian Splatting and subsequent methods have achieved significantly reduced inference times for novel view synthesis. To reduce this rendering time even further, in this paper we propose four improvements which are fully compatible with the high-level Gaussian Splatting formulation and can thus be incorporated into most methods based on this paradigm. Most notably, we alter the way Gaussians are duplicated across tiles by allowing for non-square axis-aligned Gaussian bounding boxes whose sizes take into account the Gaussian's opacity information. Our experiments demonstrate that we can decrease the 3D Gaussian Splatting rendering times by up to a factor of almost 4.