> I am not aware of a rasterizer that can operate directly with quaternions, nor a way to apply perspective or orthographic projections to them. This reminds m

> I am not aware of a rasterizer that can operate directly with quaternions, nor a way to apply perspective or orthographic projections to them. This reminds me of something (seen here) that I thought somewhat interesting. Orthographic projects of cones an n-dimensional euclidean space can be used to generate (n - 1)-dimensional voronoi diagrams. The author of the page that I looked at hadn't generalised to weighted diagrams, but that's trivially implementable by altering the gradients of the cones. The dimensionality issue is significantly nastier - with higher dimensional forms lacking GPU support, so the page only covered 2D voronois. It seemed like the idea could make for an interesting voxel engine, if 4D depth clipping were a possibility.