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**benice****Member**- Registered: 2010-06-10
- Posts: 110

The surface in above image is a portion of the graph of

some mathematical equation.

Let's do some brainstorming:

Can you guess what's inside the surface?

**Answers:**

A funny 3D image:

A funny curve:

The above graphics were created completely using math formulas and math softwares.

*Last edited by benice (2011-02-10 19:21:17)*

My Gallery of Math Art: benice equation

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,209

Hi benice;

I have no idea, what is it?

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**John E. Franklin****Member**- Registered: 2005-08-29
- Posts: 3,562

Looks like there would be a couple of race car drivers inside the images to me.

**igloo** **myrtilles** **fourmis**

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**benice****Member**- Registered: 2010-06-10
- Posts: 110

Hint:

Consider the intersection of a horizontal plane with the surface.

The intersection consists of a family of funny curves.

(An example curve is shown below. It has nothing to do with the answer.)

Cut off the upper surface above the horizontal plane

to get a funny 3D image.

(This curve is obtained from another surface.)

*Last edited by benice (2011-02-06 07:45:05)*

My Gallery of Math Art: benice equation

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**John E. Franklin****Member**- Registered: 2005-08-29
- Posts: 3,562

Is it a pinball machine?

**igloo** **myrtilles** **fourmis**

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**benice****Member**- Registered: 2010-06-10
- Posts: 110

John E. Franklin wrote:

Is it a pinball machine?

Maybe we can build a pinball machine which looks like these animations:

My Gallery of Math Art: benice equation

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**gAr****Member**- Registered: 2011-01-09
- Posts: 3,479

Hi benice,

Check these:

http://k3dsurf.s4.bizhat.com/k3dsurf-post-717.html

http://www.scienceforums.net/topic/54582-funny-math-art-guess-whats-inside/

http://www.ozzu.com/digital-art-forum/guess-what-inside-t105356.html

http://philosophychatforum.com/viewtopic.php?f=131&t=17480

http://community.wolframalpha.com/viewtopic.php?f=20&t=73538

http://forums.about.com/n/Pfx/forum.aspx?tsn=2&nav=messages&webtag=ab-math&tid=1863

http://forum.allaboutcircuits.com/showthread.php?t=49505

There are still some more

"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense" - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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**benice****Member**- Registered: 2010-06-10
- Posts: 110

Hi gAr,

Yes, those are all my posts. Thank you for giving this subject your attention.

(Three different cross sections of the surface)

*Last edited by benice (2011-02-26 18:43:05)*

My Gallery of Math Art: benice equation

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**benice****Member**- Registered: 2010-06-10
- Posts: 110

Hi all,

Here are more pictures:

2D curves

**Animations of curves**

I hope you will like these.

*Last edited by benice (2011-07-02 16:07:58)*

My Gallery of Math Art: benice equation

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