I rezzed only the vertices of the new “Concentric Circles” rotation of the E8 Polytope on the new Soror sim at Reaction Grid. Then stretched the vertices out to fill the sim.
The scale is so big (200 meters in diameter) that my computer had a hard time rendering them so that I can see the symmetries. I was looking for that axis that reveals the concentric circles.
By accident, I happened to look at the mini map. Lo and behold, there is the symmetry. The order is revealed from the seeming chaos:
Photo of Theoretical Physicist Garrett Lisi, demonstrating that Second Life can be used for serious Real Life exhibits of abstract geometric/mathematical objects.
Photo by Garrett Lisi (from below) demonstrates the successful construction of a new projection of the E8 Polytope, with a 3D construct on the left, a 2D construct in the middle, and a view up and through a 3D construct of the vertices only on the right.
cull — I’m using the word today to describe what I’m doing with the new E8 “Vertex Pairs”
Main Entry:
1cull
Pronunciation:
\ˈkəl\
Function:
transitive verb
Etymology:
Middle English, from Anglo-French culier, coillir, from Latin colligere to bind together — more at collect
Date:
13th century
1: to select from a group :choose<culled the best passages from the poet’s work>2: to reduce or control the size of (as a herd) by removal (as by hunting) of especially weaker animals ; also: to hunt or kill (animals) as a means of population control
The latest thing I’ve been obsessing on is a new “rotation” of the E8 Polytope that I built back in September. The physicist, Garrett Lisi, provided me with the data for a different rotation of the 8-dimensional object. As a result, the 3-dimensional shadow of that object will have different properties from our previous project.
The 2-dimensional shadow of this new object looks like this:
This object is made up of about 1,000 prims.
The corresponding 3-dimensional object is very intricate and is taking some time to program. But when it is complete, we will have ventured into some unexplored territory.
Yesterday, my one month occupancy of the Rezzable Visions sim came to an end. At the end of September, RightAsRain Rimbaud (of Rezzable) challenged me to make my vision a reality. Thus began October 2008, the most frantic, yet productive month of my Second Life.
My vision was to give the world a glimpse of something truly wonderful and beautiful — the E8 Polytope.
A Polytope is what we would call a polyhedron, only it lives in a higher dimension than our own. The E8 Group is an elegantly beautiful geometrical lattice. Some mathematicians call it the most beautiful object known. The E8 Polytope lives in the 8th Dimension. Our feeble human minds can’t intuit what an eight Dimensional object looks like, but we can imagine what its three dimensional shadow looks like. And that’s what this is — one projection, or rotation, of the eight dimensional object and its three dimensional shadow.
I had been building geometric objects in Second Life for over a year. I started out slow, like we all do. I took as many building and scripting classes as I could take, but ultimately I found the best way to learn to build in Second Life was to find a good mentor. Luckily, I found one of the best. The mentor I found was a builder named Furia Freeloader. Furia is a master builder and she helped to show me the ropes.
At first, Furia let me build on a private area of her Taris sim. It was there that I started to hone my skills and zero in on geometric polyhedra. I built manually and by hand, using only my eye and the SL building interface. I built a huge, hollow geometric object that I later discovered was called a stellated rhombicuboctahedron. I made two versions, one of crystal and one that was old and rusty metal.
Then I challenged myself to build the five Platonic Solids. This proved to be more difficult than it seems. Second Life’s interface is less than user friendly. There’s a steep learning curve and the hardest thing was learning its built-in limitations. The infrastructure has some annoying glitches one has to get used to.
The most annoying of these is the common occurrence of watching the rotation jump to a new setting on its own. (The rotations are three numbers that define the yaw, pitch and roll of an object you are building.) One has to achieve a zen-like state of patience when building in SL, and you can’t let these kinds of annoyances become Gumption Traps. There are many of these one butts heads up against whilst building in SL.
I apologize for peppering my narrative with phrases and notions like Gumption Trap. I’ll try to explain them as I go along. Gumption Trap is a term that Robert Pirsig uses in his book Zen and the Art of Motorcycle Maintenance. It’s exactly what it sounds like — a trap that can cause you to lose your gumption. In other words, you can lose your momentum and the project you are working on can stall out and fail.
We successfully built the E8 Polytope in the early part of September and spent the month tinkering and fine-tuning the presentation. By “we” I mean Desdemona Enfield and I. Desdemona and I built the E8 as a team. At first rezzing, the object appeared at almost 3,000 prims. Some of the struts flickered a lot, which led to the realization that we had duplicate (or redundant) struts. The reason for this soon became obvious.
The three dimensional object is a shadow of the eight dimensional object. When the source object is rotated, some of the struts line up and overlap. Once we identified these, we were able to remove them and soon the prim count was down to around 1,400.
That last week of September was a frantic one.
Soon the object was demonstrated for physicists from CalTech, the Los Alamos Research Laboratory, the University of Michigan and Saint Lawrence University. Based on the enthusiastic response, I decided I wanted to show the object at Second Life’s annual Burning Life festival.
I managed to win a Theme Camp plot based on my proposal, but soon discovered the disappointing news that I had only 500 prims to work with on that plot. It is difficult to squeeze a 1400 prim object onto a 500 prim parcel!
The first plan was to display the 3D object with its 2D shadow cast beneath it on the hard playa ground. The idea was to imply the existence of a higher dimensional object casting these shadows. I actually attempted to use a temp rez system to squeeze the object within the required prim count, but this succeeded only in causing the entire Burning Life sim to crash!
After I abandoned that plan, I had to make do with photographs of the object. I selected other geometric objects that I had found embedded within the 3D structure. These were beautiful in themselves. Next, the idea was to provide a link back to the sim where the object was rezzed, so it could actually be seen by those who were interested.
The next challenge arose when the Burning Life Ranger staff objected to the links. They suggested that this was nothing more than advertising for my home sim, and advertising is banned at Burning Life. I dug my heels in about that objection and argued that this was for educational purposes and the Rangers backed down and didn’t pursue the issue.
Meanwhile, my friend Glyph Graves was helping me with scripts that allowed the E8 to cycle through the different colored struts of the object. The struts are colored by strut length. Displaying only one color at a time revealed interesting sub-structures within the object.
Once that project was completed, RightAsRain Rimbaud came to see the object and it was then that he invited me to fulfill my vision on the Rezzable Visions sim for the whole month of October!
Now I had two big projects to pull off at the same time. Some days I worked in Second Life for almost 25 hours straight, all the while trying to explore the other builds at Burning Life.
As an artist, I work intuitively. I trust and let my intuition guide me. The idea of building the E8 Polytope came to me after watching a YouTube video produced by New Scientist Magazine. In the video, a physicist named Garrett Lisi proposes a startling new Unified Field Theory using the beautiful geometry of the E8 Group. After my work of building Sacred Geometry objects in Second Life, the challenge of building the 3D version of the E8 seemed a perfect fit.
I contacted Garrett and proposed my idea. His enthusiastic suggestions helped to direct the focus of the project to a specific 3D object called the E8 Polytope. I kept Lisi posted on the progress of the project as it unfolded.
Garrett happens to be a Burner — which means he likes to go to the real Burning Man in the Nevada desert. I sent him photos of my SL Burning Life plot with the E8 Polytope and its shadow on the playa. I suggested to him that he should come and take a look for himself.
And then I told him about the Rezzable Visions sim dedicated to the E8 Polytope. The day the sim opened, October 1st, Garrett Lisi’s avatar (named Garrett Netizen) appeared on the sim. I was in a bit of a state of shock as I showed him around and I noticed that he seemed surprisingly adept for a newbie. (This is not surprising I guess because after all he is a genius.) Then I tp’d him to the Burning Life camp and it was then that I told him about the official sim opening I had planned for Sunday, October 5th.
I also invited Hamlet Au (formerly Hamlet Linden) to the official opening.
Burning Life ended on Saturday and on Sunday I officially opened the Rezzable Visions sim. A group of my SL friends were on hand, standing about inside the E8 Polytope when Garrett Lisi appeared on the sim again. This time Hamlet Au was on hand to document the event. He published his account of the opening in his New World Notes blog on October 7th. http://nwn.blogs.com/nwn/2008/10/universe-in-the.html
Meanwhile, Hermes Kondor was so impressed by the sim exhibit that he invited me to do a “conference” on the subject of Sacred Geometry on Sunday, October 12th. Once I agreed to that I was scrambling to prepare that class and the accompanying slide show. The Sacred Geometry Conference was a big success, with Hermes requesting a continuing class on the subject.
Freelife Magazine’s Lucien Franciosa interviewed me for a feature article and we did a photo shoot. The article came out in the October 15th issue.
Nepherses Amat next invited me to prepare an art show on the Angelgate sim, to open on October 19th. I decided that the Angelgate show would feature a fourth dimensional object called the 600-Cell Polytope. While I was preparing that show, Pixels Sideways invited me to participate in another art show at the Caerleon sim. That show would have a dream theme.
This last news meant that I would again be opening two shows on the same day! I had a flash of insight and my intuition told me to make an SL replica of Brion Gysin’s Dreamachine for that show.
The Angelgate show opening was a lag-fest as the sim was full to capacity. I produced a video that introduces the featured object — the four dimensional 600-Cell Polytope — and the many polyhedra I found within it.
The Caerleon art show is a success as well, with some of the best of SL’s builder/artists participating. It is an honor to be included with the likes of Glyph Graves, Pixel Sideways, White Lebed, Bryn Oh, Olza Koencamp and Blue Tsuki. http://slurl.com/secondlife/Caerleon%20Isle/199/46/1911
And on October 23rd, Cypress Rosewood did me the honor of performing some of his original “Space” music on the Rezzable Visions sim. Cypress has an audio stream that I find to be appropriate for my builds and I have it streaming at all of them. http://64.33.51.172:8076
Wizzy's Workshop 