Posts Tagged ‘Mathematica’

Pasta :: NYT :: Discovery Channel :: NRC :: RNW [Updated III]

Thursday, January 12th, 2012

Following my post of nov 2010 on pasta shapes, and the sequel to that last june, now, the New York Times interviewed me regarding the pasta. Check it out. As quite a few have asked; what is the process of creating a pasta, here is a video describing the process. Based on a lemniscate, we extrude it, and twist it! That’s it!

 
Covered by the New York Times
Also covered by the Discovery Channel (Daily Planet show)
Also covered by Playing with Mathematica
Also covered by http://www.verascienza.com
Also covered by http://www.rendabordo.com
Also covered by http://ceticismo.net
Also covered by BioQuakes
Also covered by Spaghetti and Meatballs
Also covered by Math Munch
Also covered by the NRC (Dutch newspaper).
Also covered by Deutschlandfunk (German radio station), or download the German interview here (MP3).

Update 2:

Also covered by the RNW (Radio Netherlands Worldwide).
Also covered by the University of Twente.

Update 3:

Also covered by Obrasweb Mexico article I and article II.

 
 
 
 

Transforming images

Monday, July 18th, 2011
Transforming images

Mathematica 8 has a new function called ImageTransformation. The idea is that each pixel {x,y} gets its color from the original image at point f({x,y}), where f is some function.
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Pendulum waves animation in Mathematica

Saturday, July 9th, 2011
Pendulum waves animation in Mathematica

Because everyone is posting them (1 2 3 4 5), I did one myself as well:

Side-view, Top-view, 3D-view, and bottom: normalized amplitude vs. time. Same idea as Mike Croucher but now in Mathematica, and with the correct frequency vs. length relation (length ~ frequency^-2).

Bézier Curves

Sunday, June 19th, 2011
Bézier Curves

I’ve been posting a few stories regarding creating vector art. The basis of vector art are mostly Bézier curves, but how are they drawn? I was looking at the construction of Bézier curves, and thought; “How hard can it be?” [to recreate it] (Yes, Top Gear reference).

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Visualizing flights

Wednesday, June 15th, 2011
Visualizing flights

Last years I’ve been fortunate to go to some conferences around the world. I was wondering how these flights would look like in a graph. So I made a quick list of my flights:
List of flights
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Pasta visualization – Part II [Updated]

Sunday, June 5th, 2011
Pasta visualization – Part II [Updated]

A couple of post back, I plotted the Gemelli pasta. And I already revealed I plotted a lot more. I kind of forgot about it, but Sol Lederman from Playing with Mathematica kindly reminded me. I agreed to feature my pasta’s on his website, have a look at his website for all my pasta’s and the code to recreate them.

Click right here to head over there!

As quite a few have asked; what is the process of creating a pasta, here is a video describing the process. Starting with (part of) a lemniscate, we extrude this shape, and twist it.

Here are some stills of the other pastas:

more pasta plot

*click for bigger version*

Try to figure out how each of them is created, what elements/techniques are used to create certain features (ragged edges, revolving, cutting, wiggling, circular, toroidal, helicity…).

Random hopping

Saturday, January 29th, 2011
Random hopping

Two years ago or so, a friend of mine showed me a neat trick. The idea is very simple:

  1. Start of at a corner of an equilateral triangle
  2. Randomly choose any of the three corners
  3. Go half-way towards that corner
  4. Mark this spot
  5. Goto step 2 and do this until you’re sick

So if we do these steps a couple of times we end up with something like:
Simple Hopping
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Rock Paper Scissors Lizard Spock

Saturday, December 18th, 2010
Rock Paper Scissors Lizard Spock

One of the best tv-series out there is The Big Bang Theory. In one of the episodes Sheldon proposes “Rock paper scissors lizard spock” over the conventional “Rock paper scissors”, because the game would tie too often due to the limited amount of outcomes.
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Weighted Mean

Thursday, September 9th, 2010
Weighted Mean

Lately I’ve been doing some statistics with millions of data points, and what I needed was the weighted mean. Not able to find a built-in function I decided to code my own.
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Creating thumbnails of a set of pictures

Wednesday, July 21st, 2010
Creating thumbnails of a set of pictures

A couple of weeks ago I needed to resize a folder of images, I didn’t know how to do it automatically in Photoshop or any other utility, so I turned to Mathematica. I was a little surprised that it only took me 3 lines. (more…)