Earlier I referred to the work of Thomas Banchoff for consideration in how he interprets the computer screen and the graphics that he works with. I also brought forward the question of illusions and Miracles in the following article .
Through mathematical analogy, Abbott sought to show that establishing scientific truth requires a leap of faith and that, conversely, miracles can be explained in terms that don't violate physical laws. Like early scientific theories, miracles could be merely shadows of phenomena beyond everyday experience or intrusions from higher dimensions. Flatland raises the fundamental question of how to deal with something transcendental, especially when recognizing that one will never be able to grasp its full nature and meaning. It's the kind of challenge that pure mathematicians face when they venture into higher dimensions. How do mathematicians organize their insights? How do they see and understand multidimensional worlds? How do they communicate their insights? Flatland is a novel approach toward answering those questions.---Shadows from Higher Dimensions by Ivars Peterson
