Voting period is over. Please don't add any new votes. Voting period ends on 25 Jan 2011 at 00:15:11 (UTC)
Original - Two dimensional
random walk for one particle on a 400 by 400 lattice. One million steps shown at 1500 steps per second: at each step, the particle randomly moves to any position in its
Moore neighbourhood. The lattice has toroidal boundary conditions (i.e. going off one edge reappears on the opposite edge). The path traced by the particle slowly fades out. In the
scaling limit, random walk approaches the
Wiener process according to
Donsker's theorem.
Reason
This is, in my opinion, the best media on Wikipedia demonstrating 2D random walk and its similarity to Brownian motion. Moreover, it is highly intriguing to look at.
Can you add as an end frame the overlay of all the paths? i.e. to bring back the faded tail and to show all the places where it has been?
Nergaal (
talk)
16:55, 16 January 2011 (UTC)reply
Overall Support With same concerns as with
Wikipedia:Featured picture candidates/BML Traffic Model, namely file size and if ogv will be supported by everyone. I like the pixel fading, nice way of keeping the motion visible. I think most people will get the general idea fairly quickly, so I think a shorter version, say about 30 seconds, would be better.--
RDBury (
talk)
15:20, 17 January 2011 (UTC)reply
Voting period is over. Please don't add any new votes. Voting period ends on 25 Jan 2011 at 00:15:11 (UTC)
Original - Two dimensional
random walk for one particle on a 400 by 400 lattice. One million steps shown at 1500 steps per second: at each step, the particle randomly moves to any position in its
Moore neighbourhood. The lattice has toroidal boundary conditions (i.e. going off one edge reappears on the opposite edge). The path traced by the particle slowly fades out. In the
scaling limit, random walk approaches the
Wiener process according to
Donsker's theorem.
Reason
This is, in my opinion, the best media on Wikipedia demonstrating 2D random walk and its similarity to Brownian motion. Moreover, it is highly intriguing to look at.
Can you add as an end frame the overlay of all the paths? i.e. to bring back the faded tail and to show all the places where it has been?
Nergaal (
talk)
16:55, 16 January 2011 (UTC)reply
Overall Support With same concerns as with
Wikipedia:Featured picture candidates/BML Traffic Model, namely file size and if ogv will be supported by everyone. I like the pixel fading, nice way of keeping the motion visible. I think most people will get the general idea fairly quickly, so I think a shorter version, say about 30 seconds, would be better.--
RDBury (
talk)
15:20, 17 January 2011 (UTC)reply