Forums  > Art  > I am going to give you 1 million dollars  
     
Page 2 of 3Goto to page: 1, [2], 3 Prev Next
Display using:  

rod


Total Posts: 362
Joined: Nov 2006
 
Posted: 2007-08-27 21:42
This is also cool: http://www.youtube.com/watch?v=JX3VmDgiFnY

Möbius Transformations Revealed

"Möbius Transformations Revealed is a short film produced by Jonathan Rogness and Douglas Arnold, and which nicely presents the beauty of Möbius transformations. The movie shows how moving to a higher dimension can make the transformations easier to understand."

rod


Total Posts: 362
Joined: Nov 2006
 
Posted: 2007-08-28 01:38
Here's something quite sexy: Websites as Graphs. Just go to this page, and insert an URL, and the application will generate (in "real-time" fashion) the graph corresponding to the website whose URL you wrote. Applause

For instance, this is Wikipedia's graph:



Cool, or what? Sexxxxxxy! Kind of reminds me of a Jackson Pollock's painting.

I started by trying to get NP's graph, but NP is built in such a way that the Java Applet cannot parse its HTML code.

Eldesdichado


Total Posts: 366
Joined: Apr 2005
 
Posted: 2007-08-29 14:54
We did the same thing to get the graphs for our code libraries (and see how much dependencies and copy-paste we had), very fun pics.

I am the dark one, -the widower; -the unconsoled, The prince of Aquitaine at his stricken tower: My sole star is dead, -and my constellated lute Bears the black sun of the melancolia.

Razor


Total Posts: 44
Joined: Aug 2006
 
Posted: 2007-08-29 15:38
Eldesdichado, that sounds interesting. How did you do that? What software did you use?

Here's looking at Euclid.

Nonius
Founding Member
Nonius Unbound
Total Posts: 12666
Joined: Mar 2004
 
Posted: 2007-12-01 07:25

surfer dude's TOE.


Chiral is Tyler Durden

wolf0564


Total Posts: 358
Joined: Jun 2004
 
Posted: 2007-12-01 14:56
very cool, in fact. please precise how you modelise this one.

дюде!

Nonius
Founding Member
Nonius Unbound
Total Posts: 12666
Joined: Mar 2004
 
Posted: 2007-12-01 17:54
it's very easy.  we learn that in preparesation school before engineering school.

Chiral is Tyler Durden

ClopeMan


Total Posts: 328
Joined: Jan 2007
 
Posted: 2007-12-01 20:23
Famous technique of web-surfin n copy-paste?  Big Smile  With such elegant representations, ToE has to hold, by contradiction!

twisted objective mind

rod


Total Posts: 362
Joined: Nov 2006
 
Posted: 2007-12-04 13:08
Bathsheba Sculpture: mathematically-inspired sculpture.

Some stuff looks cute, like this sculpture:



I would like to buy me a lamp like this one of these days:


Nonius
Founding Member
Nonius Unbound
Total Posts: 12666
Joined: Mar 2004
 
Posted: 2007-12-09 22:10

anyway, so I looked up the references on HMM in the YouKnowWho thread.  the chinese dude's MS thesis sucks.  Poorly written.  but, we live in world in which info is not vetted out by "experts". so be it. a better paper, although it doesn't do the job of educating someone about HMM in finance, is the paper cited in wikipedia; it's the tutorial on HMM and speech recognition. at least it's readable. 

so, this is the math art thread, so, I'll go ahead and just ask that you include the cover sheet on the fax, as it were. 

but really, so, what does HMM remind me of? Or, shall I say, Of what does it remind me?  It reminds me of fiber bundles.  the reason I say that is that, as far as I can see, it's a choice of a transition matrix for each point in a "base space" of hidden events.  so, if you had a stochastic process (Xt) on a base space M, then a HMM is a section s:M->E where E is a fiber bundle over M with fiber equal to the monoid of markov generator matrices of a given dimension.  if we believe that a classifying space theory exists for monoids, (and it's clear how to construct such a classifying space using formal chains that represent polyhedra that are glued to a CW-complex), then that section defined on a manifold comprising the "hidden state space" is the pull back of some section on the universal bundle covering the classifying space of the monoid of the space of markov generators.

you understand.

ps. to be slightly concrete; seasonality of something could be modeled as some dynamical system on the circle plus noise as the process on hidden states and the HMM would be a choice of generator matrix over each point on the circle.


Chiral is Tyler Durden

Nonius
Founding Member
Nonius Unbound
Total Posts: 12666
Joined: Mar 2004
 
Posted: 2007-12-26 15:05

this sort of throbs:


Chiral is Tyler Durden

rod


Total Posts: 362
Joined: Nov 2006
 
Posted: 2007-12-30 02:16

Here's a Koch Snowflake (a fractal curve):

An example of a domain that has a finite area and whose boundary has infinite length.


rod


Total Posts: 362
Joined: Nov 2006
 
Posted: 2008-01-08 11:28
Here's something rather aesthetically pleasing: Gallery of Algebraic Surfaces.

I like this one, the "sofa":


Nonius
Founding Member
Nonius Unbound
Total Posts: 12666
Joined: Mar 2004
 
Posted: 2008-01-08 21:15
thanks for the link.  those are very sexy surfaces.

Chiral is Tyler Durden

rod


Total Posts: 362
Joined: Nov 2006
 
Posted: 2008-01-10 03:22
Here's Simple Thing, by Philip Taylor.

It was one of the winners of the Fractal Art Contest 2007. Some of the other fractals are weird as hell (stuff I could not imagine even after having a truckload of LSD, eh eh).

rod


Total Posts: 362
Joined: Nov 2006
 
Posted: 2008-01-14 11:02
A Sierpinski square-based pyramid and its 'complement':


FDAXHunter
Founding Member

Total Posts: 8335
Joined: Mar 2004
 
Posted: 2008-01-14 11:08
Rod, you seem to be quite good at finding (well-done) mathematical art. Keep 'em coming.

The Figs Protocol.

rod


Total Posts: 362
Joined: Nov 2006
 
Posted: 2008-01-17 17:55
FDAX, thanks for the remark Smiley

Here's a cute knot:



The plot was generated by a MATLAB .m file. If you guys wanna play around with the source code, here it is. Have fun!

Nonius
Founding Member
Nonius Unbound
Total Posts: 12666
Joined: Mar 2004
 
Posted: 2008-01-17 21:52

trefoil.

this knot kicks the trefoil's ass.


Chiral is Tyler Durden

tristanreid


Total Posts: 1677
Joined: Aug 2005
 
Posted: 2008-01-19 01:24

'Mini Math Sculptures'

http://www.thinkgeek.com/geektoys/science/93d5/

If I ever get my office cleaned up, I might buy these as decoration

-t.


the only reason it would be easier to program in C is that you can't easily express complex problems in C, so you don't. -comp.lang.lisp

Nonius
Founding Member
Nonius Unbound
Total Posts: 12666
Joined: Mar 2004
 
Posted: 2009-04-26 07:05

Ulam Spiral.


Chiral is Tyler Durden

rod


Total Posts: 362
Joined: Nov 2006
 
Posted: 2009-04-30 08:31
Ken Baker on blowing up an arc:


Path Integral


Total Posts: 441
Joined: Dec 2004
 
Posted: 2009-06-09 10:43
Don't know if this has been posted yet.

Some cool sparse matrices at: http://www.cise.ufl.edu/research/sparse/matrices/

Too much hanky panky makes Fannie bleed

Nonius
Founding Member
Nonius Unbound
Total Posts: 12666
Joined: Mar 2004
 
Posted: 2009-10-24 11:05

I sort of like this artist http://www.martynchik-walera.com/

the work below is very reminiscent of a night in amsterdam laying on a nice comfy bed.


Chiral is Tyler Durden

rod


Total Posts: 362
Joined: Nov 2006
 
Posted: 2009-10-31 14:02
Sphere packing:



[ source ]


Previous Thread :: Next Thread 
Page 2 of 3Goto to page: 1, [2], 3 Prev Next