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abdelhamid belaid
Joined: 13 Aug 2009 Posts: 170

Posted: Tue Jan 10, 2012 10:09 am Post subject: 3d math uses and exploitation? 


Hello all
For what we are doing? how can that be beneficial? let's say that we can generate formulas for very complicated 3d shapes, how can this math be useful? pleas, would someone give me some practical fields? _________________ My YouTube channel 

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jolkaP
Joined: 17 Oct 2011 Posts: 12 Location: Marseille (France)

Posted: Thu Jan 12, 2012 11:23 pm Post subject: 


Hi!
Do you think art is practical? In the project La lumière ne s'arrête pas là we used this software to generate the 3Dmodels of mathematical surfaces on which a video is projected later. It is an interactive art installation, the surfaces are there to represent the spacetime of the users... the users whith their movements modify their spacetime but also the spacetime of the other users. Besides a movie or an image is projected on each surface.
Unfortunately, when the surfaces are too complex, the installation becomes to slow so most of the time we use just spheres. I am testing the Blender's tool decimate to avoid this problem. 

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Furan
Joined: 05 Oct 2010 Posts: 64 Location: Prague, Czech Republic

Posted: Fri Jan 13, 2012 3:50 pm Post subject: 


Well, the obvious advantage of our approach is the ideal geometrical precision of a mathdefined object. Every detail can be visible, there are no scale limitation for i.e. fractallike objects.
A very complex object can be generated by only several parameters. That is very useful for optimization problems. The following video shows optimization of mechanical part loaded by a single force:
http://www.youtube.com/watch?v=8Cu2q3Lgbrc
Absolutely spectacular view of evolution "on paper". But optimization could be performed for much more complex loading (evolution of wing shape in air etc.) that requires a very complex calculation for every step. If we could describe the shape via an equation, there would be just several parameters to evolve, not hundreds of node coordinates.
The real potential as for now is definitely the art of sculpture in rapid prototyping and possible rendering of fractallike details in modern animated cinema.
Clearly no human brain can create something so spectacular as math can.
This is definitely the most spectacular thing I have ever seen:
http://www.phidelity.com/blog/blog/processing/artinspirationmichaelhansmeyerptii/ 

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abdelhamid belaid
Joined: 13 Aug 2009 Posts: 170

Posted: Sat Jan 14, 2012 6:16 pm Post subject: 


Of course jolkaP no doubt art is practical but always I thought what you've said is very very difficult, not just too slow but as I see people have not enough math tools to generate what they want, in fact I meant more than art: architecture, industry, simulations, programing, other math fields ...etc.
Hi Furan and thanks a lot but it will be nice if we can get some more explanations about that simulation and some of its math _________________ My YouTube channel
Last edited by abdelhamid belaid on Mon May 20, 2013 12:48 am; edited 2 times in total 

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abdelhamid belaid
Joined: 13 Aug 2009 Posts: 170

Posted: Sun Jan 15, 2012 5:14 pm Post subject: 


Again, well, I would like to repeat my question again in another way:
let's say that we have some math tools so we can generate very complicated shapes so easily, let's say that the math drawing became like a programing language, a 3d math programing language, let's imagine that we want to create a cube for example, we write just cube( pattern, a )=0 such that cube(x,y) is a function, yes let's imagine that we have exceeded our basic functions (abs, sin, cos ...) and have other functions (cube, sphere, patterned plane, helix …), we became to write other writing and get very complicated shapes so easily:
for example in the case of making a patterned plane, as we had seen before, we can consider a function here:
pattern( F(x,y,z) , n , m , c1 , c1) = F(xfloor(n*x+c1)/n , yfloor(m*y+c2)/m )
imagine if you can by the same method draw 100 beautiful and complex spheres in only a quarter of an hour, just imagine and tell me what are the horizons of this math you see in the futur ? what would we do then ??? _________________ My YouTube channel
Last edited by abdelhamid belaid on Mon May 20, 2013 12:57 am; edited 1 time in total 

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singerarts
Joined: 25 Jul 2008 Posts: 13

Posted: Mon Jan 16, 2012 3:17 am Post subject: 


The ability to visualize math formula using this software would help in education. If I had known more about this when I was younger, I would have paid more attention in school. I see that it could be used in design of architecture, for use in medicine ( the design of new devices for example ). The ability to see in three dimensions will help in all sorts of rapid prototypes. So there are practical uses, educational uses, and artistic uses. Maybe you need to write a book about this process, think it through, amaze people with what it can do. 

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Phil999
Joined: 08 Feb 2007 Posts: 24

Posted: Thu Jan 19, 2012 10:39 pm Post subject: 


not exactly an answer to your question, but the Oloid shape was first only a geometric shape, actually a derivation of the cube. Later the Oloid found many realworld applications.
http://k3dsurf.s4.bizhat.com/viewtopic.php?t=96
If it is true that the Oloid surface is equal to the unit sphere surface, we have a direct relation between cube and sphere, something that is not possible in 2D (squaring of the circle), but in 3D. If we can express the Oloid shape parametrically.
But I believe most formulae do not get 'famous'. If I'm correct formulae from the fractal geometry greatly helped to develop 3Dprograms in the 80's. 

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abdelhamid belaid
Joined: 13 Aug 2009 Posts: 170

Posted: Tue Jan 24, 2012 8:37 pm Post subject: 


Thank you professor Alan, thank you Phil _________________ My YouTube channel 

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Whystler
Joined: 12 Apr 2012 Posts: 7

Posted: Mon Apr 16, 2012 12:29 am Post subject: 


I hope that I can put my two cents in here, as an artist  but only as a mathematical novice.
In my view, art is a language. It's a means by which to communicate complex ideas that maybe we cannot write. If we could write out the idea, maybe the number of words we take to descrie the idea would be overwhelming. So a piece of art perhaps is a more efficient way of describing an idea.
Also, in my view, math is a language. It is an attempt to express things that we view int he world as constants. Maybe these constants are shared in cultures around the world, and in worlds around the universe.
the concept of 1
the concept of 2
the concept of 3
the concept of three two's ... or 3 * 2...
the concept of a sin wave or a cosine wave
the concept of space in 3 dimensions
If our math achieves the ability to be a language of constants, then equations that represent 3d objects is very useful.
Imagine the ways we might try to explain a chair to an alien race ...
1. We would try to explain it with words. But it is likely the alien race does not know our language.
2. We would try to explain it using our hands and clay. But it is likely we are communicating to an alien who is light years away in space. So to send video would be time consuming.
3. We would try to send them a file that shows all of the vertices, lines, and facets of the object  a very large file for a complex object.
or
4. We would send them an equation, which is smaller in size than the file or the video, or even the words, and the equation is easier to understand if we are correct in assuming that our math is more universal a language than any other verbal language we have.
If I could express what I have written here in so many words as an equation, maybe you all would be a lot happier lol.
Whystler 

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abdelhamid belaid
Joined: 13 Aug 2009 Posts: 170

Posted: Tue Apr 17, 2012 6:42 pm Post subject: 


Hi,
you're welcome and you're right Whystler, thank you much _________________ My YouTube channel 

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singerarts
Joined: 25 Jul 2008 Posts: 13

Posted: Sun May 06, 2012 4:17 pm Post subject: Math Art 


Visitors to this site might be interested in "Bridges" a Math Art Gallery, with a show opening this summer in Towson, MD, USA.
here is the link:
http://gallery.bridgesmathart.org/ 

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Alicelewis
Joined: 29 Nov 2013 Posts: 18

Posted: Sat Jan 11, 2014 9:00 am Post subject: 


I think there is an in number association between neighborhood 3d structure and article position in commonplace scenes. We call this the 3d setting of the article. In past work, this is commonly handcoded and restricted to even flat surfaces. Conversely, we propose to utilize a more general model for 3d setting and take in the relationship between 3d connection and diverse article classes. Along these lines, we can catch more mind boggling 3d settings without executing particular schedules. We give broad trials both qualitative and quantitative assessments of our technique for diverse article classes. Thanks to all who join in this discussion. _________________ Practice Math _  Math Addition 

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Alicelewis
Joined: 29 Nov 2013 Posts: 18

Posted: Mon Feb 24, 2014 2:34 pm Post subject: 


i was waiting for that any one reply me but here no one any reply me . i am wrong here. if i am wrong then told me about that . because i want to learn more and more about Math Practice Worksheets. because more of ideas is perfect for every one. 

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abdelhamid belaid
Joined: 13 Aug 2009 Posts: 170

Posted: Mon May 05, 2014 11:42 am Post subject: 


Hello Alicelewis, I'm sorry I forgot this forum (open discussion) for a period and unfortunately didn't get a notification ! I didn't understand what you wrote, my english is very simple, please repeat your question or idea. _________________ My YouTube channel 

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