Martin Krzywinski / Canada's Michael Smith Genome Sciences Centre / Martin Krzywinski / Canada's Michael Smith Genome Sciences Centre / - contact me Martin Krzywinski / Canada's Michael Smith Genome Sciences Centre / on Twitter Martin Krzywinski / Canada's Michael Smith Genome Sciences Centre / - Lumondo Photography Martin Krzywinski / Canada's Michael Smith Genome Sciences Centre / - Pi Art Martin Krzywinski / Canada's Michael Smith Genome Sciences Centre / - Hilbertonians - Creatures on the Hilbert CurveMartin Krzywinski / Canada's Michael Smith Genome Sciences Centre / - Pi Day 2020 - Piku
And she looks like the moon. So close and yet, so far.Future Islandsaim highmore quotes

pi: fun

Scientific graphical abstracts — design guidelines

visualization + design

Typography geek? If you like the geometry and mathematics of these posters, you may enjoy something more letter ed. Visions of type: Type Peep Show: The Private Curves of Letters posters.

The art of Pi (`pi`), Phi (`phi`) and `e`

This section contains various art work based on `\pi`, `\phi` and `e` that I created over the years. `pi` day and `pi` approximation day artwork is kept separate.

The accidental similarity number (ASN) is a kind of overlap between numbers. I came up with this concept after creating typographical art about the `i`-ness of `\pi`.

To construct the accidental similarity number (ASN) for three numbers `\pi`, `\phi` and `e`, we first align these numbers and then identify positions for which the numbers have the same digit.

3.1415926535897932 … 21170679821 … 10270193852 … 
1.6180339887498948 … 93911374847 … 08659593958 … 
2.7182818284590452 … 51664274274 … 32862794349 … 

These digits are then used to create the accidental similarity number. In this case,

ASN(π, φ, e) = 0.97911 48920 55221 …

By definition, the decimal is held in place.

The posters of `asn(pi,phi,e)` show the accidental similarity number created from the first 1,000,000 digits of each number. The numbers have the same digit at 9,997 positions.

The poster shows 9,996 ASN digits (last one is omitted) because I use the distance between the index of the digits that make up the ASN for the color mapping.

The distribution of distances follows a Poisson distribution with an average of 100, with about 1-1/`e` values being smaller than 100.

The font is Neutraface Slab Display Medium.

properties of the accidental similarity number

Any properties are accidental, but curiously ASN(`\pi`,`\phi`,`e`) ≈ 1.

If you find other curiously accidental properties, let me know.

data files

Download the first 9,997 digits of the accidental similarity number. This file provides the ASN digit index, `i`, the digit, `ASN_i` and the position from which it is sampled, `\text{index}(ASN_i)`.

i  ASN_i index(ASN_i)
0  9 	 13
1  7 	 100
2  9 	 170
3  1 	 396 # e.g. 4th ASN digit is 1, sampled from digit index 396 
4  1 	 500
5  4 	 596
6  8 	 607
7  9 	 694
8  2 	 825
9  0 	 828
10 5 	 841
11 5 	 941
12 2 	 1283


news + thoughts

Graphical Abstract Design Guidelines

Fri 13-11-2020

Clear, concise, legible and compelling.

Making a scientific graphical abstract? Refer to my practical design guidelines and redesign examples to improve organization, design and clarity of your graphical abstracts.

Martin Krzywinski @MKrzywinski
Graphical Abstract Design Guidelines — Clear, concise, legible and compelling.

"This data might give you a migrane"

Tue 06-10-2020

An in-depth look at my process of reacting to a bad figure — how I design a poster and tell data stories.

Martin Krzywinski @MKrzywinski
A poster of high BMI and obesity prevalence for 185 countries.

He said, he said — a word analysis of the 2020 Presidential Debates

Thu 01-10-2020

Building on the method I used to analyze the 2008, 2012 and 2016 U.S. Presidential and Vice Presidential debates, I explore word usagein the 2020 Debates between Donald Trump and Joe Biden.

Martin Krzywinski @MKrzywinski
Analysis of word usage by parts of speech for Trump and Biden reveals insight into each candidate.

Points of Significance celebrates 50th column

Mon 24-08-2020

We are celebrating the publication of our 50th column!

To all our coauthors — thank you and see you in the next column!

Martin Krzywinski @MKrzywinski
Nature Methods Points of Significance: Celebrating 50 columns of clear explanations of statistics. (read)