inspirations, explorations, creative expressions
From the category archives:
The following four questions (one per post) were posed in a recent class. My edited responses follow. 1. So I understand that any shape in nature can be converted to a mathematical formula, right? Then you take that formula and plug in the variable related to that shape and feed the answer into the variable spot in the […]
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Trust me, YOU DON’T WANT TO MISS THIS!!! Frank Chester (find out about his initial work here, and read reviews of his work here) has just returned from a very well received presentation of his research on the Chestahedron at Sunbridge College in Spring Valley, New York. Many in the audience expressed disappointment afterwards that they had […]
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Projective geometry offers a window into the human soul — not as a mere analogy, but directly: projective geometric processes are manifestations of the same archetypes that work through and within human experience. Doing projective geometry is to move your soul in accordance with these archetypes, and in so doing you start to train your soul so […]
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WARNING: PROJECTIVE GEOMETRY MAY PUT HOLES IN YOUR BRAIN. YOUR MIND MIGHT LEAK OUT – IF YOU WANT YOUR MIND IN YOUR BRAIN STOP READING NOW. Okay, here is a geometric exercise that I find very interesting. It is, however, more complicated than the previous one and will likely require you to actually take out a pencil (not a pen, please, […]
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With respect to the line/circle polarity, projective geometry shows how these two seemingly incompatible geometric entities are in fact transformations of each other — they are recursively compatible geometric forms that are related coherently through the infinite.
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