Oct. 21st, 2005
No, it's not the sequal to Buckaroo Bonzai...but an interesting oberservation.
Please consider these two images:
The Unicursal Hexagram:

A scuplture of a three dimensional projection of a 4 dimensional object:

Both projections have a smilar "feel" to them for me.
This interesting article, "The Unicursal Hexagram as Hyperbola", which I found talks about the goemetry of conic sections that I think is a good first step...http://www.ecsd.com/~msanborn/unicursal.html
The article that I ran across on the sculpture is here: http://www.sciencenewsdaily.org/story-7409.html
Personally, I think the Unicursal Hexagram is most likely a 2/3 dimension projection of a n-dimension figure.
It did tickle my inner-erisian to note that the sculpture has a total of 23 vertices.
Please consider these two images:
The Unicursal Hexagram:

A scuplture of a three dimensional projection of a 4 dimensional object:

Both projections have a smilar "feel" to them for me.
This interesting article, "The Unicursal Hexagram as Hyperbola", which I found talks about the goemetry of conic sections that I think is a good first step...http://www.ecsd.com/~msanborn/unicursal.html
The article that I ran across on the sculpture is here: http://www.sciencenewsdaily.org/story-7409.html
Personally, I think the Unicursal Hexagram is most likely a 2/3 dimension projection of a n-dimension figure.
It did tickle my inner-erisian to note that the sculpture has a total of 23 vertices.