What kind of home flooring is this?
I think this is a patch work of “early vinyl tile” these type of tiles were reenforced with asbestos but the colors look a lot like what used to be available in the 40’s and 50’s from the homes I have worked on. 

The photo looks to have a texture in the center but I think there was something on top that caused that.  the light reflecting off the floor from the door is smooth and that is normal. I call them asphalt vinyl because I don’t remember the correct name and they usually have a asphalt like tar for the adhesive that is really horrible to try and clean up.