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#1 2011-02-03 17:00:11

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

[Funny Math Art] Guess what's inside?

guess.png

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:
benice_funny_surface.png

A funny curve:
benice_funny_curve.png

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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#2 2011-02-03 21:33:48

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,636

Re: [Funny Math Art] Guess what's inside?

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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#3 2011-02-04 05:58:50

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

Re: [Funny Math Art] Guess what's inside?

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


igloo myrtilles fourmis

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#4 2011-02-06 03:49:55

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

Re: [Funny Math Art] Guess what's inside?

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.

bad_bunny_400x400.png
(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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#5 2011-02-15 14:01:37

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

Re: [Funny Math Art] Guess what's inside?

Is it a pinball machine?


igloo myrtilles fourmis

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#6 2011-02-16 07:41:53

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

Re: [Funny Math Art] Guess what's inside?

John E. Franklin wrote:

Is it a pinball machine?

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

benice_animation_3d_300x300_32.gif
benice_animation_2d_200x280_16.gif


My Gallery of Math Art: benice equation

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#7 2011-02-18 19:01:42

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

Re: [Funny Math Art] Guess what's inside?

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 smile


"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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#8 2011-02-26 18:42:07

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

Re: [Funny Math Art] Guess what's inside?

Hi gAr,

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


benice_cutting_440x330_64.gif
        (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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#9 2011-06-17 13:00:35

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

Re: [Funny Math Art] Guess what's inside?

Hi all,

Here are more pictures:

2D curves

Colored surfaces

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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