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Alexander's Horn

Fractal (none) posted on Dec 09, 2004
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Description


This is more a mathematical curiosity than a nice image. If you understand the phrase "Alexander's Horned Sphere is a particular embedding of the 2-sphere into the 3-sphere" then you must be a mathematician.... I just wanted to see if this could be drawn in UF...and apparently it can be done...

Comments (13)


Nightwright

3:28PM | Thu, 09 December 2004

Wow, that's cool :)) Excellent work! Vote!!

)

FabioNemo

4:52PM | Thu, 09 December 2004

great scientific composition

)

KITCHAOS

5:59PM | Thu, 09 December 2004

I think it's beautiful Jos!...I wonder what it sounds like?...A joyful noise!

)

tresamie

9:34PM | Thu, 09 December 2004

It's a very intriguing shape! It has some of the characteristics of a spiral, yet it isn't quite. I didn't understand any of what you said, lol, but you made it work just fine :)

)

whirlingfeather

10:02PM | Thu, 09 December 2004

Utterly stunning! Don't understand the math tho', just the beauty!

)

chesscanoe

7:52AM | Fri, 10 December 2004

To me this is perhaps the most pleasing image you've made to date!

)

joefraq

9:30AM | Fri, 10 December 2004

Most intriguing UF work, Jos.

sofie-filo

3:50PM | Fri, 10 December 2004

Jos, jij bent gewoon de meest ultra-gebruiker van UF en de ucl's die jezelf ontwikkeld hebt. Dit is er weer een voorbeeld van! Wordt het niet tijd om een en ander publiek te maken? Maar ik wens je wel heel veel succes toe in de ontwikkeling van al die formules.

)

VDH

3:53PM | Fri, 10 December 2004

Heel origineel!Doet mij denken aan de rug van een bamboe stoel! Excellent werk!!

)

utak3r

4:32PM | Fri, 10 December 2004

Hmmm... Jos, I'm really curious of the technique you've used here (I don't mean exact parameters of this image, but the general principles...) - this is really great work! :)

)

psion005

11:15PM | Fri, 10 December 2004

Great render... i just had a look at your web site and man you must be a mathematical genius.. I have never seen so many beautiful fractals before..... How the hell do u program stuff like that? :)... Do u do this for a living? ie. scientific applications? Whatever the case is, your work is in one word AMAZING!!!!!!

)

rolilliAne

12:19AM | Sat, 11 December 2004

rolilliAne Antwerpen boven Jos! Gewoonweg prachtig.

)

Rykk

12:20AM | Sat, 11 December 2004

VERY cool form here - very reminiscent of some of the shapes made by Xenodream. Well done!


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