Inworldz Wizardry - The E8 Polytope

"Because the Wizard is a wizard."

Wizard Gynoid, mathematical muse, has managed another first: rezzing and linking a 7,153-prim object in Inworldz and setting it rotating. Without crashing anything, I might add.


Wizard Gynoid: The E8 Polytope is the most elegant, most sophisticated and complex geometrical object known to mathematicians. There is beauty in its elegant symmetry.

Miso Susanowa: ach its bootiful!

Wizard Gynoid: you think?

Miso Susanowa: ya I do ^_^



Wizard Gynoid: up until recently no one had seen it, because it had to be calculated using a super computer. Plus there's the multi-dimensional aspect to it. This is the 3D shadow of an 8-dimensional object, so it is only one "rotation" of that 8-dimensional object. It happens to be the most elegantly symmetrical rotation, because it shows all 240 vertices points, plus there is a "tunnel" that runs through the object vertically, surrounded by concentric circles of vertices points.



Miso Susanowa: You've been working on them in VWs for how long?

Wizard Gynoid: I've been working on the E8 Polytope in Virtual Worlds since 2008, when I did the Rezzable Visions show. That was a much simpler version; in fact a copy of that is on the ground on my Wizard sim here in Inworldz. That one is also linked into one object and set rotating, but it's only about 1,400 prims. This one must be some kind of record...

Wizard Gynoid: and you saw how fast and how flawlessly that rezzed using Phlox

Miso Susanowa: Yes, it was amazing after watching the Klien bottle assemble twice [in Second Life] - that took over an hour.

Wizard Gynoid: This wouldn't be possible in Second Life.

Miso Susanowa: Didn't you also have the E8 somehow rezzed into RL crystal or something?

Wizard Gynoid: Yes, I had this laser etched into a crystal cube. Which you can purchase as a matter of fact.

Miso Susanowa: annnddd... link pls? :)

Wizard Gynoid: http://www.bathsheba.com/crystal/e8/

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Watch the video to be amazed at the speed with which the Phlox script engine calculates and assembles this incredibly-complex object (but really, take the You Tube link, as embedding compresses the video here and it's nasty with artifacts; at You Tube, raise the quality to 480p)

The E8 Polytope in Inworldz
Wizard Gynoid
(with script consultation by Desdemona Enfield)

Link to You Tube video (better quality)

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Wizzy Makes A Klein Bottle video

Wizzy Makes A Klein Bottle

You Tube (better-quality/fullsize) link

My friend Wizard Gynoid demonstrates the beauty of mathematics and topology by constructing a Klein Bottle in the virtual reality of Second Life.

The full rezzing from the initial trigger took 2+ hours, and the coloring of the panels took additional time. It's really something, as you can see on the video.

Here's some of the maths about this project:

[20:03] Wizzy Gynoid: nEdge = ( 6 * nVertex) / 2
[20:03] Wizzy Gynoid: nFace = ( 6 * nVertex ) / 3

1200 points
2400 faces
3600 edges

7200 prims total


I am told by Wizzy that SL resident Desdemona Enfield was of assistance in the math/scripting department.

If you want to know more about Klein Bottles you could read this:

Imagining maths: Inside the Klein Bottle

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The first piece of music used in the video is an arrangement of my musical/interactive piece Alchemical Table in Second Life; this composition is now titled Points of Order.

The second piece of music is Slow Light 1 (Ambient) and is by Moby, used with permission for non-commercial use in this video through the generosity of Moby, a most excellent person.

Immediately flagged by You Tube, I am now in the dispute process; good thing I have a license from Moby ^_^

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Busy, busy

As you can see, I've done several videos in the past 2 weeks; in case you missed them, here they are on You Tube:

Subject of Study: A video displaying the Virtual Art Gallery made for me by my students as part of the Cal State University at Long Beach Art Department's Art 110- Introduction to the Visual Arts program, Fall 2011 semester.

Three-Ring Circus (Director's Cut): The Circus of O! comes to town.


Storming Heaven: An immersive philosophical build in the Inworldz virtual reality grid.


Still learning how to maneuver my joystick; lighting is next, so go easy on me please :D

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