"Even more mind-boggling is that quasicrystals are crystals from higher dimensions projected, or squished down, into lower dimensions. Those higher dimensions can even be beyond physical space's three dimensions: A 2D Penrose tiling, for instance, is a projected slice of a 5-D lattice."
I've been working on creating digital mandala software for the past 10 years, and have created countless digital fractal mandala patterns during that time, and I've noticed that something really interesting can happen when you do that with a tool that enables quick and recursive creation of this kind of images.
After creating a pattern for 4-5 hours for example, after that the patterns would continue be visualized inside my eyelids once I would close my eyes, evolving into new patterns that I did not draw on the screen, in a seemingly intelligent way, finding new shapes and patterns that I could not have created by myself, but some part of me continues visualizing these shapes into new, alive feeling forms inside my eyelids.
Many times these patterns would continue living inside my eyelids when I go to sleep, and even sometimes continue right away when I awoke after that night. And this completely sober even.
This effect can be magnified exponentially when combined with some mind altering entheogenics, but it works completely sober also.
It is hard to describe, but the feeling has been many times that I am looking at an "2D shadow" of something that lives beyond this current moment, like I am seeing a slice of time represented in 2D about a higher dimensional form that is not possible to visualize with current tools.
This article would push towards confirming my theories about forms existing that we only see parts of in slices of time, but somehow we can connect to those higher dimensional versions through the act of mandala creation.
Just wanted to share some thoughts on the subject, it is not something I claim to understand at all. If you want to test this out yourself, we have a trial version of our software available at http://www.OmniGeometry.com :-)
Would be interesting to hear if you have some thoughts on this subject. The act of creating mandalas is something many spiritual traditions also have utilized to connect us to the coherence of the greater patterns, like the tibetan monks creating sand mandalas and then wiping them away.