Are you fascinated by the beauty of forms in the natural world?  Do you sense something amazing at work out there, like an intelligence that lies just beneath the surfaces of things?  Then I invite you to read a new essay that explores the building of a new aesthetic consciousness that seeks to connect us...

First-order Solution: The problem and the solution share an epistemological context, each helping drive the other. Second 'phase' (to the right): In this context 'more of the solution' creates 'more of the problem' through a symmetrical relationship. The SAME problem is produced by the SAME solution. No real transformation is forthcoming from within the system, because...

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...

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 (for some context about WHY it is interesting, look here). It is, however, more complicated than the previous one...

I'd like to make a contribution with regards to circularity/linearity, from a geometrical standpoint.  If you don't like geometry, stop reading, or better yet, read with increased intensity. The polarity between circle/line is one that is fundamental to many geometries - they are taken to be quite different logical entities.  Primarily this arises because of...