Drive, driven. Gave, given.Give me a number of games.more quotes

# curves: fun

In Silico Flurries: Computing a world of snow. Scientific American. 23 December 2017

# visualization + design

Like paths? Got your lines twisted in a bunch?
Take a look at my 2014 Pi Day art that folds Pi.

# Hilbert Curve Art, Hilbertonians and Monkeys

I collaborated with Scientific American to create a data graphic for the September 2014 issue. The graphic compared the genomes of the Denisovan, bonobo, chimp and gorilla, showing how our own genomes are almost identical to the Denisovan and closer to that of the bonobo and chimp than the gorilla.

Here you'll find Hilbert curve art, a introduction to Hilbertonians, the creatures that live on the curve, an explanation of the Scientific American graphic and downloadable SVG/EPS Hilbert curve files.

## Hilbert curve art posters

There are wheels within wheels in this village and fires within fires!
— Arthur Miller (The Crucible)

Recursive art. Same line. A variety of styles. Font is Gotham Light.

You can download the basic curve shapes for orders 1 to 10 and experiment yourself. Both square and circular forms are available.

### Hilbert curve orders 1–5

Art work of low-order Hilbert curves, up to order 5.

 order points segments length $n$ $4^n$ $4^{n-1}$ $2^n-2^{-n}$ 1 4 3 1.5 2 16 15 3.75 3 64 63 7.875 4 256 255 15.9375 5 1,024 1,023 31.96875
First 4 orders of the space-filling Hilbert curve. (BUY ARTWORK)
First 4 orders of the space-filling Hilbert curve. Each curve is mapped onto a circle instead of a square. (BUY ARTWORK)
First 4 orders of the space-filling Hilbert curve. Each is rotated by 90 degrees clockwise with respect to its previous order. (BUY ARTWORK)
First 4 orders of the space-filling Hilbert curve. Curves are drawn with thick strokes with the same distance between adjacent strokes for each order. The blue and orange simultaneous contrast is purposeful. (BUY ARTWORK)
The relationship between the first 5 orders of the Hilbert curve. Each corner of the large square contains orders 1–4. The square itself is filled with a curve of order 5 at 2x its original size. Notice how the order 4 curve fits exactly into a quadrant of the order 5 curve. (BUY ARTWORK)
First 4 orders of the space-filling Hilbert curve. The thickness of the curve for each order is the same as the space within it. The blue and orange simultaneous contrast is purposeful. (BUY ARTWORK)
First 4 orders of the space-filling Hilbert curve. This would go nicely with a tatami and katana. (BUY ARTWORK)
VIEW ALL

# Happy 2019 $\pi$ Day—Digits, internationally

Tue 12-03-2019

Celebrate $\pi$ Day (March 14th) and set out on an exploration explore accents unknown (to you)!

This year is purely typographical, with something for everyone. Hundreds of digits and hundreds of languages.

A special kids' edition merges math with color and fat fonts.

116 digits in 64 languages. (details)
223 digits in 102 languages. (details)

Check out art from previous years: 2013 $\pi$ Day and 2014 $\pi$ Day, 2015 $\pi$ Day, 2016 $\pi$ Day, 2017 $\pi$ Day and 2018 $\pi$ Day.

# Tree of Emotional Life

Sun 17-02-2019

One moment you're $:)$ and the next you're $:-.$

Make sense of it all with my Tree of Emotional life—a hierarchical account of how we feel.

A section of the Tree of Emotional Life.

# Find and snap to colors in an image

Sat 29-12-2018

One of my color tools, the $colorsnap$ application snaps colors in an image to a set of reference colors and reports their proportion.

Below is Times Square rendered using the colors of the MTA subway lines.

Colors used by the New York MTA subway lines.

Times Square in New York City.
Times Square in New York City rendered using colors of the MTA subway lines.
Granger rainbow snapped to subway lines colors from four cities. (zoom)

# Take your medicine ... now

Wed 19-12-2018

Drugs could be more effective if taken when the genetic proteins they target are most active.

Design tip: rediscover CMYK primaries.

More of my American Scientific Graphic Science designs

Ruben et al. A database of tissue-specific rhythmically expressed human genes has potential applications in circadian medicine Science Translational Medicine 10 Issue 458, eaat8806.

# Predicting with confidence and tolerance

Wed 07-11-2018
I abhor averages. I like the individual case. —J.D. Brandeis.

We focus on the important distinction between confidence intervals, typically used to express uncertainty of a sampling statistic such as the mean and, prediction and tolerance intervals, used to make statements about the next value to be drawn from the population.

Confidence intervals provide coverage of a single point—the population mean—with the assurance that the probability of non-coverage is some acceptable value (e.g. 0.05). On the other hand, prediction and tolerance intervals both give information about typical values from the population and the percentage of the population expected to be in the interval. For example, a tolerance interval can be configured to tell us what fraction of sampled values (e.g. 95%) will fall into an interval some fraction of the time (e.g. 95%).

Nature Methods Points of Significance column: Predicting with confidence and tolerance. (read)

Altman, N. & Krzywinski, M. (2018) Points of significance: Predicting with confidence and tolerance Nature Methods 15:843–844.