Fill space with unit cubes and then remove all cubes that are not completely within a given half space. An isometric view of the remaining cubes will look like the following image.
This is in general an aperiodic tiling of the plane by rhombi that all have the same shape. (Of course for certain half spaces it is periodic.) My question is whether these tilings have a name, and whether they are discussed anywhere in the literature. I've seen discussions of this in relation to 'voxelizing' planes (a generalization of Bresenham's Algorithm), but not in relation to generating or analyzing tesselations, even though I think the construction must be well known.
(Interactive version of the above picture is at https://codepen.io/brainjam/full/QrZgLP/)