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Total Posts: 436 |
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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. 
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. |
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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.
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 Razor
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Eldesdichado, that sounds interesting. How did you do that? What software did you use? |
Here's looking at Euclid. |
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 Nonius
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Founding MemberNonius Unbound |
Total Posts: 12808 |
Joined: Mar 2004 |
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surfer dude's TOE.

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Chiral is Tyler Durden |
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%20(Custom).jpg) wolf0564
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Total Posts: 358 |
Joined: Jun 2004 |
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very cool, in fact. please precise how you modelise this one. |
дюде! |
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 Nonius
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Founding MemberNonius Unbound |
Total Posts: 12808 |
Joined: Mar 2004 |
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it's very easy. we learn that in preparesation school before engineering school. |
Chiral is Tyler Durden |
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 ClopeMan
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Total Posts: 328 |
Joined: Jan 2007 |
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Famous technique of web-surfin n copy-paste? With such elegant representations, ToE has to hold, by contradiction! |
twisted objective mind |
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Total Posts: 436 |
Joined: Nov 2006 |
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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:
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 Nonius
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Founding MemberNonius Unbound |
Total Posts: 12808 |
Joined: Mar 2004 |
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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 |
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 Nonius
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Founding MemberNonius Unbound |
Total Posts: 12808 |
Joined: Mar 2004 |
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this sort of throbs:

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Chiral is Tyler Durden |
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 rod
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Total Posts: 436 |
Joined: Nov 2006 |
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Here's a Koch Snowflake (a fractal curve):

An example of a domain that has a finite area and whose boundary has infinite length. |
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Total Posts: 436 |
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 Nonius
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Founding MemberNonius Unbound |
Total Posts: 12808 |
Joined: Mar 2004 |
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thanks for the link. those are very sexy surfaces. |
Chiral is Tyler Durden |
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 rod
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Total Posts: 436 |
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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). |
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 rod
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Total Posts: 436 |
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A Sierpinski square-based pyramid and its 'complement':
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 FDAXHunter
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Rod, you seem to be quite good at finding (well-done) mathematical art. Keep 'em coming. |
The Figs Protocol. |
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 rod
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Total Posts: 436 |
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FDAX, thanks for the remark 
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! |
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 Nonius
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Founding MemberNonius Unbound |
Total Posts: 12808 |
Joined: Mar 2004 |
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trefoil.
this knot kicks the trefoil's ass.

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Chiral is Tyler Durden |
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'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 |
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 Nonius
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Founding MemberNonius Unbound |
Total Posts: 12808 |
Joined: Mar 2004 |
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Ulam Spiral.

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Chiral is Tyler Durden |
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 rod
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Total Posts: 436 |
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Don't know if this has been posted yet.
Some cool sparse matrices at: http://www.cise.ufl.edu/research/sparse/matrices/
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Too much hanky panky makes Fannie bleed |
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 Nonius
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Founding MemberNonius Unbound |
Total Posts: 12808 |
Joined: Mar 2004 |
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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.

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Chiral is Tyler Durden |
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 rod
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Total Posts: 436 |
Joined: Nov 2006 |
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