Author Message
benice

Joined: 25 Jan 2011
Posts: 3

 Posted: Fri Feb 04, 2011 4:53 am    Post subject: [Funny Math Art] Guess what's inside? (answers included) 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: ________________________ My Gallery: benice equationLast edited by benice on Tue Jul 12, 2011 10:48 pm; edited 2 times in total
nextstep

Joined: 06 Jan 2007
Posts: 539

 Posted: Fri Feb 04, 2011 9:22 am    Post subject: Hi, It looks like the ''mille-feuille" or ''Napolitain'' cake made by a child Is it the same isosurface at different levels?_________________Cheers, Abderrahman
abdelhamid belaid

Joined: 13 Aug 2009
Posts: 170

 Posted: Fri Feb 04, 2011 7:46 pm    Post subject: hello all , I think the issue is the same with these isosurfaces : sin(4*pi*( sqrt((cos(x) + cos(y) )^2+z^2) -0.3 )) = 0 sin( 2*pi*( cos(x)+cos(y)+cos(z) )) =0 : the idea is the use of another dimension " k " so that F(x,y,z) = k/n , that means n*pi*F(x,y,z) = pi*k so sin( n*pi*F(x,y,z) ) = 0 ( k : whole number ) . In our first exemple F(x,y,z) = sqrt((cos(x) + cos(y) )^2+z^2) -0.3 : Now , each form with 4 dimensions F(x,y,z, k) =0 ( k € Z ) is a three dimensional form G(x,y,z) =0 ?_________________My YouTube channel
benice

Joined: 25 Jan 2011
Posts: 3

 Posted: Sun Feb 06, 2011 10:10 am    Post subject: Thanks for your reply. Hi nextstep, Yes, it's a 3D contour plot at different levels. Hi abdelhamid belaid, Your gallery is very great. Thanks for share your nice graphics. 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.)
nextstep

Joined: 06 Jan 2007
Posts: 539

 Posted: Tue Feb 08, 2011 10:44 am    Post subject: Hi, Ok, so it's a 3D contour plot...My bet then is that it's a 3D contour " movie " but I can't imagine the caracters nor the scenario of this film from the given image _________________Cheers, Abderrahman
nextstep

Joined: 06 Jan 2007
Posts: 539

 Posted: Fri Feb 11, 2011 10:07 pm    Post subject: Hi, I was thinking about something similar but with a 3d contour changing with the different slices of the isosurface. For example, a 3D contour like this changing to something like that . It should be feasible with an implicitly defined surface or even with a set of parametric surfaces. Very funny math and keep it up _________________Cheers, Abderrahman
benice

Joined: 25 Jan 2011
Posts: 3

 Posted: Tue Feb 15, 2011 3:01 am    Post subject: Funny animations Hi nextstep, Funny animations can be done by changing a parameter of the function. ________________________ My Gallery: benice equation
 Display posts from previous: All Posts1 Day7 Days2 Weeks1 Month3 Months6 Months1 Year Oldest FirstNewest First
 All times are GMT Page 1 of 1

 Jump to: Select a forum MathMod----------------MathMod Progress & featuresMathematical Models CollectionHow toBugsMathMod for WindowsMathMod for Linux/UnixMathMod For MACOSXMathMod TutorialsOther Mathematical ToolsOpen Discussion K3DSurf----------------K3DSurf Discuss/DiscussionsHow toK3DSurf math related questionsK3DSurf for WindowsK3DSurf for MacOSK3DSurf for LinuxOnline K3DSurf: J3DSurfNewsBugsOnline DocumentationAccount Activation Issue ?/ Problème d'activation de votre compte ?
You cannot post new topics in this forum
You cannot reply to topics in this forum
You cannot edit your posts in this forum
You cannot delete your posts in this forum
You cannot vote in polls in this forum