Some Naive Sketches

One way in which I like to draw out ideas in the form of sketches. At times what comes to the imagination carries more information about an underlying problem than can be detailed by words alone, and even the process of developing naive sketches of mathematical or physical ideas can assist in providing further insights, especially for abstract concepts like a "worldsheet," or a "noncommutative torus," or the "minotaur" or "centaur" geometries. While not quite as rigorous as publishing, sketches can be a naive intermediary step for sussing out ideas and analogies, both containing information that might not be exactly accurate, but which also might contain hidden insights.