A continuation on my E8 theme, but a deeper inquiry into the mystery of its symmetries.
Archive for E8
Xenophile Neurocam recently posted some machinima footage that he shot at my Rezzable Visions show in October 2008:
Kumi Kuhr posted a short machinima video shot of my 6,672 prim E8 Polytope structure built on Butler sim:
Nitwacket published machinima video of Burning Life 2008 which includes some footage of my build “It Came from the 8th Dimension”:
This Lotus-like flower pattern was found inside the E8 Polytope. I have colored it here with the seven colors of the rainbow, beginning with red at the center and ending with violet on the edges.
The same seven colors of the rainbow are used to color the seven chakras.
Here we see the sequence in reverse, with violet on the inside and red on the outside.
I’ve been dissecting the insides of the E8 Polytope. I had an intuition that I could find a spiral in it. After analyzing seven sets of squares that descend in size, I created the following:
Then I was able to perceive a single four-color spiral:
I was gazing at my RL painting of the E8 Polytope and I perceived an octagon and a unicursal octagram embedded in the center:
That got me thinking. Could that shape be used to tile space?
That thought inspired me to try to build a tiled space using prims and this is the result:
This is about 1,000 prims and can conceivably be used for wall dividers or latticeworks in Second Life and other Virtual Worlds.
What else will I find in the E8?
Lately, I’ve been rendering some of my RL work in Second Life.
This time, it’s going the other way. I’m painting a painting in Real Life based on some of the work I’ve been doing in Second Life.
I decided to attempt a 3 foot by 3 foot painting of the E8 Polytope. In Second Life, my E8 Polytope is three dimensional (and very complex.) In fact, the latest version has 6,672 prims. (Which makes it hard to find it a home on a 15,000 prim sim.)
Without further ado, here is the front view of the Concentric Circles Rotation of the 4_21 Gossett E8 Polytope: