More Ties Than We Thought 

There is 177,147 different tie knots according to this paper.

The pair used an existing tool from logic – known as formal language theory – to express the basic rules of tying a neck tie as a series of symbols. This included things like the placement of the tie, the direction of the fold and the need to end in a final tuck. They used their tie language to show that only 85 knots were possible.

Now mathematician Mikael Vejdemo-Johansson of the KTH Royal Institute of Technology in Stockholm, Sweden, has vastly broadened the tie landscape.

→ New Scientist

Math as Myth

A great song, Golden Ratio, and artwork from Benn Watt’s album. 

But simple, beautiful mathematical explanations can make us greedy. While we wish for all explanations of the world around us to be elegant, science often involves “the slaying of a beautiful hypothesis by an ugly fact,” in the words of biologist Thomas Henry Huxley. Before positing elliptical orbits, Kepler himself succumbed to the desire for beauty when he suggested that the planets’ orbits could be modeled as the Platonic solids nested inside each other. His theory was beautiful, but it was soundly disproved by later observations of the outer planets. In a way, it was almost too beautiful to be right.

→ Nautilus

I Fooled Millions Into Thinking Chocolate Helps Weight Loss. Here’s How.

A great reminder that medias can easily be fooled and help propagate false informations with pointless headlines.

Other than those fibs, the study was 100 percent authentic. My colleagues and I recruited actual human subjects in Germany. We ran an actual clinical trial, with subjects randomly assigned to different diet regimes. And the statistically significant benefits of chocolate that we reported are based on the actual data. It was, in fact, a fairly typical study for the field of diet research. Which is to say: It was terrible science. The results are meaningless, and the health claims that the media blasted out to millions of people around the world are utterly unfounded.

Here’s how we did it.

→ io9

Moving Averages and the iPad

There are myriad other ways to smooth a graph without switching to cumulative figures. One of the simplest is the moving average. In this technique, instead of plotting the raw data, you plot the average of a few data points in the neighborhood of each time value.

For many data sets, the best size of this neighborhood is not obvious. With Apple’s sales figures, though, I think it’s clear that the best choice is to average over four quarters: the quarter that you’re plotting and the three previous. This smooths over the seasonal jumpiness while not including so much past data as to ignore real trends.

→ Lean Crew

My Quantified Email Self Experiment: A failure

Paul Ford on looking back, digitally :

My big idea was: If I can quickly look through all of my old emails I will be able to observe how my thoughts have evolved. I’ll learn something fundamental about myself and how I’ve grown as a person —for example, the difference between being in my early 20s and being 40.

This seemed like an interesting thing to do, so I did it. But the experiment was a failure, and not very edifying.

→ Medium