The categories were good and I'm not saying I disagree. I can understand the logic that you use to make those categories. But the descriptions such as euclidean or planar seem to be more like descriptions of the object rather than indicative of types of objects

Because some objects will have more than one of those parameters or qualities but it doesn't make them more than one object. so I'm not really sure that the description of an object is an indication of the type of object