## 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:

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

Then I turned it into 3D in SL.

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:

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

April 14, 2009 at 11:59 am

The more I look into this, the more I think this is a unique spiral. It seems hard to believe that the ancients would not have discovered this spiral, since it is very simply made with only squares and right triangles, but I have found no evidence of it previous to this. The Pythagoras Tree is not the same thing, though it is similar. A Pythagoras Tree is not constructed with right triangles.

April 29, 2009 at 1:54 am

I like the subdued tones of the 3 X 3 RL work. Checked out the SL progression and loved them too! But still like hangin’ stuff on walls. The Pythagorean glide is a cool serpentine slide and with a matchachillo to sip on would be a retinal pleasure to indulge in over some sound syntax! Keep up the great work and hope to bump into you in-world sometime!

XJR