[deleted] [OP] 1 points
Thank you for your response.
Can you visualize a right triangle in your head? Or a circle? If we are considering the triangle or the circle, I want to ask, how does the space inside of the perimeter look like? Now, if there were two triangles or two circles next to each other, and they were the same size, how could they be distinguished? If I promised that the size was not a distinguishing characteristic, and I promised the the perimeter is not a distinguishing characteristic, then what could be? We could imagine that the two circles have a different "pitch" than each other, but what does that mean? That seems to be vocabulary about sound, rather than shape or geometry. And I can't help but shake my intuition that color and geometry are related, which is why I seek perspectives very different than my own.
If you can visualize space inside the perimeter of a circle, then I will go on to ask questions about "shading" the surface, as if you were painting it with a paint brush, or just sliding your hand over every part of it. But perhaps "visualize" is the wrong word to use here. Can you visualize space inside a perimeter? Or do those words strung together just sound like logical concepts, void of meaning? Like, "A bleep is a blorp because a kleep is a klorp, and we all learned that in elementary school." Does, "A circle is a shape where all points on its perimeter are equidistant from its center point" have meaning to you, or is it just fanciful language?
I guess I'll wait for your responses before I ask more questions.