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Double & Single Spirals Into the heart of the E8!

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:

Copyright © 2009 Wizard Gynoid

Then I was able to perceive a single four-color spiral:

Copyright © 2009 Wizard Gynoid

New Islamic-style Trellis-likeTile!

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:

Islamic-style Trellis-like Tile made from prims.

This is about 1,000 prims and can conceivably be used for wall dividers or latticeworks in Second Life and other Virtual Worlds.

Scope Cleaver and company check out the new tiling.

What else will I find in the E8?

E8 Painting in Real Life!

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:

3 foot by 3 foot painting of the E8 Polytope

Electrum Spiral @ Caerleon Art Collective

I’m working on this new thing.  It started out as a sketch on graph paper in RL.  Then I turned it into a 3 foot by 3 foot painting:

Original Spiral Fractal painting in RL

Then I rendered it in prims in SL in 2D.

Then I turned it into 3D in SL.

Soror Nishi asks if I could put some steps up to the fractal.

At the suggestion of Desdemona Enfield, I knocked out some of the cubes and this is the result:

We put those cubes back in and it starts to look like a twisted Mondrian painting:

Copyright © Wizard Gynoid 2009

I asked Xenophile Neurocam if he knew anything about this fractal.  Because it’s definitely not the Golden Spiral.  It’s not derived from a Golden Rectangle and it doesn’t encode the Golden Ratio or the Fibonacci Series.

My good friend Xeno is so smart.  He said look into something called the “Pythagoras Tree.”

Bingo!  Discovered by Albert E. Bosman (1891-1961), a dutch mathematics teacher, in 1942.

http://en.wikipedia.org/wiki/Pythagoras_tree

This version is different from all other variations I’ve seen of the Pythagoras Tree, so I’m calling it an “Electrum Spiral” because it’s definitely not the Golden Spiral.  Electrum is an alchemical mixture of Gold and Silver and the other five classical metals.

You can see it at my new parcel on the Caerleon Art Collective sim, courtesy of Georg Janick:

http://slurl.com/secondlife/Caerleon%20Art%20Collective/212/120/27

Evidence of Extropy is in the Building.

Wizzy keeps building geometric objects of more and more intricacy and complexity.  Wizzy’s building is therefore necessarily Extropic.

6672 prim E8 Polytope

This is my latest project.  A 6672 prim E8 Polytope.  This one is more representative of the E8 than any of my previous attempts.  It took several attempts to successfully rez this object, and even so the sim creaked and groaned.

This particular rotation of the E8 Polytope is important because it shows *all* 240 of the vertices.  Each vertice can be seen above as a meeting of edge struts.

From this angle, we can see a clear hole on this axis going straight down through the object.  When flattened down to two dimensions this object would look this:

The 2D graph commonly recognized as the E8 Polytope

This 2D version has 240 recognizable vertices or nodes.  If Second Life had less perspective programmed into our view, from this axis or view we could see the object like this.

Some of you might wonder why I am so obviously obsessed with this object.  It is considered to be the most beautiful and elegant geometric object known to mathematicians.  That alone is probably reason enough…

But as I proceed with this obsession, at each step I learn more and more.  I gain a more intuitive grasp of what this thing is all about.  Each new discovery is a wonder and a joy.

Another axis of symmetry reveals itself

Where do I go from here?

The direction of higher complexity leads from the eighth dimension up to all 248 dimensions of the E8 Group.

The direction of lower complexity leads downward to the G2.  The cube-like, hexagonal symmetry of the G2 lends itself to demonstrations of how quarks and the strong force relate.

Next stop, G2.

This is what we do!

World Builder from Bruce Branit on Vimeo.

This video made me cry.  It reminds me of the video by Robbie Dingo:

New Star of Diablo III is WIZARD!

I used to be a Diablo and Diablo II player.  I was a maniac about it.  Then World of Warcraft came out and everyone forgot about Diablo…

Well, Blizzard has been working on Diablo III and the new star character is… Wizard!

Ta da!

Second Life CEO Mark Linden likes me!

Back in October 2008, I received an IM from someone named M Linden.  He told me he was looking at some of my work and wanted to buy some.  I asked him where he was and he said he was at Rezzable Visions.  So I immediately dropped everything and TP’d over there.

Chatting with M Linden

M Linden happens to be Mark Kingdon in Real Life, and he is the Chief Executive Officer of Second Life!

Luckily, I knew that when he IM’d me.

I helped him buy some of my stuff, and he said at the time that he wanted to put them up in his own personal sculpture garden in SL.  I went looking for his land at one point but it happens to be on protected Linden land, so I couldn’t get in to see what he did with it.

I thought that was the end of that.

Yesterday, Torley Linden posted a Tweet (on Twitter) about a Flickr picture of M Linden’s SL office.  I was ecstatic to find a picture of two of my sculptures floating over his office:

Two of my geometric sculptures floating over M Linden's office in SL.

I then went through all of Mr. CEO Linden’s posts on Flickr and found some more good shots of his visit to my Rezzable Visions build.

"I love this. Bought one from the creator and it's sitting on my roof :)"

Invisiprim Bot Farm

Wizzy found an Invisiprim Bot Farm. These bots are hidden in an invisiprim box.  I got inside the box and found that the bots also had invisiprim bodies.  What are they trying to hide?

What are they trying to hide?