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#1 2011-02-04 16:00:11

benice
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[Funny Math Art] Guess what's inside?

http://i1216.photobucket.com/albums/dd371/benice_chen/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:
http://i1216.photobucket.com/albums/dd371/benice_chen/benice_funny_surface.png

A funny curve:
http://i1216.photobucket.com/albums/dd371/benice_chen/benice_funny_curve.png

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

Last edited by benice (2011-02-11 18:21:17)


My Gallery of Math Art: benice equation
 

#2 2011-02-04 20:33:48

bobbym
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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.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.
 

#3 2011-02-05 04:58:50

John E. Franklin
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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
 

#4 2011-02-07 02:49:55

benice
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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.

http://i1216.photobucket.com/albums/dd371/benice_chen/bad_bunny_400x400.png
(This curve is obtained from another surface.)

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


My Gallery of Math Art: benice equation
 

#5 2011-02-16 13:01:37

John E. Franklin
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Re: [Funny Math Art] Guess what's inside?

Is it a pinball machine?


igloo myrtilles fourmis
 

#6 2011-02-17 06:41:53

benice
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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:

http://i1216.photobucket.com/albums/dd371/benice_chen/benice_animation_3d_300x300_32.gif
http://i1216.photobucket.com/albums/dd371/benice_chen/benice_animation_2d_200x280_16.gif


My Gallery of Math Art: benice equation
 

#7 2011-02-19 18:01:42

gAr
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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."
 

#8 2011-02-27 17:42:07

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

Hi gAr,

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


http://i1216.photobucket.com/albums/dd371/benice_chen/benice_cutting_440x330_64.gif
        (Three different cross sections of the surface)

Last edited by benice (2011-02-27 17:43:05)


My Gallery of Math Art: benice equation
 

#9 2011-06-18 11:00:35

benice
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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 (2011-07-03 14:07:58)


My Gallery of Math Art: benice equation
 

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