Archive for April, 2009

E8 Painting in Real Life!

Posted in Building with tags , , , on April 25, 2009 by Wizzy

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

3 foot by 3 foot painting of the E8 Polytope

Advertisements

Electrum Spiral @ Caerleon Art Collective

Posted in Building with tags , , , , , on April 11, 2009 by Wizzy

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

Original Spiral Fractal painting in RL

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

Spiral Fractal rendered in prims in SL

Then I turned it into 3D in SL.

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

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:

spiral-fractal-sans-2nd-cubes

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

Copyright © Wizard Gynoid 2009

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