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Submitted on
April 27, 2013


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Interesting Mandelbulb 3D Image News

Journal Entry: Sat Apr 27, 2013, 2:39 PM
Interesting email ~  

I received an interesting email this morning. Someone contacted me through my Fine Art America site requesting that I make a print available. I forgot to ask how she found the image, as I hadn't even posted it there yet. Anyway, it turns out this person is the daughter of Karl Menger, who's most famous popular contribution to mathematics (according to WikipediA), was the Menger sponge, a three-dimensional version of Sierpinski's carpet. The Menger3 formula (and other forms of it) certainly seem to be some of the most widely used and popular formulas for many that use Mandelbulb 3D.

The image she was interested in was one I recently posted here at DA, Wreck Of The Menger. Eve pointed me to a very interesting video that explains the Menger sponge quite well, Mathematical Impressions: The Surprising Menger Sponge Slice. I highly recommend that you take the time to check it out! She also had this to say about the video:
"The narrator mentions that this diagonal slice was not "discovered" till 2007.  That is inaccurate.  That slice was on exhibit at the Museum of Science and Industry in Chicago years earlier."

While Menger3 was not the only formula used in that image, the influence is evident. I use it quite often myself as it can often lead to incredible structures of simulated fantasy architecture. :) While I'm at it I wanted to take this opportunity to thank all those responsible for making my artwork possible, including, but not limited to Jesse at Fractal Forums for creating the Mandelbulb 3D software, Luca (aka dark-beam ) for creating many of the formulas and also Karl Menger and Benoit Mandelbrot for their dedicated work in mathematics which makes it all possible. Also thanks to all my watchers and those that fave my work too!!!

PS: Help support Fractal Forums. You can order a Fractal Forums calendar at the Fractal Forums shop.


  • Mood: Wow!
  • Listening to: Two fans blowing hot air
  • Reading: 3 books
  • Watching: Suits and Falling Skies
  • Playing: I don't play well with others
  • Eating: Spam sandwitch
  • Drinking: Diet Coke
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GypsyH Featured By Owner May 29, 2013  Hobbyist Digital Artist
Very informative and interesting Hal. Thanks for sharing .. I don't get here too often but am glad I checked in today. Hope you are doing well Hal. :hug:
HalTenny Featured By Owner May 29, 2013
Thanks and good to hear from you. We all miss having you around like before!
GypsyH Featured By Owner May 29, 2013  Hobbyist Digital Artist
Well hopefully that will change soon. Moved to 2 different states and bought a house now so think I will be around for a bit. LOL
I am here and there . . . So far behind on everyones works etc . .
fractalbeke Featured By Owner May 8, 2013
Thanks for sharing the interesting video. I was very interested and I thought ... maybe it's possible to make myself an animation based on that MengerCube.
HalTenny Featured By Owner May 8, 2013
You're welcome!
catelee2u Featured By Owner May 4, 2013  Hobbyist General Artist
That's really awesome!! Thanks for sharing the video...very interesting ;-)
HalTenny Featured By Owner May 6, 2013
Thank you!
chaotic-symmetry Featured By Owner May 2, 2013   General Artist
Wow!! What an amazing compliment, and very well-deserved! :clap:

...And I must find you on FineArtAmerica now! :)
HalTenny Featured By Owner May 3, 2013
Thank you! [link]
moonhigh Featured By Owner Apr 29, 2013  Hobbyist Digital Artist
Very inspiring Hal Congratulations!!
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