Archive for May, 2009

Lotus-like Flower Found Inside E8!

Posted in Cleverness with tags , , on May 15, 2009 by Wizzy
Copyright © 2009 Wizard Gynoid

Copyright © 2009 Wizard Gynoid

This Lotus-like flower pattern was found inside the E8 Polytope.  I have colored it here with the seven colors of the rainbow, beginning with red at the center and ending with violet on the edges.

The same seven colors of the rainbow are used to color the seven chakras.

Copyright © 2009 Wizard Gynoid

Copyright © 2009 Wizard Gynoid

Here we see the sequence in reverse, with violet on the inside and red on the outside.

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New Logo

Posted in Cleverness with tags , , on May 8, 2009 by Wizzy

wizard1logo

Double & Single Spirals Into the heart of the E8!

Posted in Building with tags , , , , , on May 6, 2009 by Wizzy

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

Copyright © 2009 Wizard Gynoid

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

Copyright © 2009 Wizard Gynoid

Copyright © 2009 Wizard Gynoid

New Islamic-style Trellis-likeTile!

Posted in Building with tags , , , on May 1, 2009 by Wizzy

I was gazing at my RL painting of the E8 Polytope and I perceived an octagon and a unicursal octagram embedded in the center:

octagram13

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 Trellice-like Tile made from prims.

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.

octagram4

Scope Cleaver and company check out the new tiling.

What else will I find in the E8?

octogram3