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Trance opera—Spente le Stellebe dramaticmore quotes
data visualization + art
My animation of 5 dimensions sets the stage for Max Cooper's track Ascent from his new album Unspoken Words.
Another mathy collaboration with Max!

Infinity with Max Cooper — In Six Minutes

To Infinity and beyond!
—Buzz Lightyear

1 · Photos from the Barbican performance

Photos from Max Cooper's Yearning for The Infinite show at Barbican Hall in London.

2 · Aleph 2

Yearning for the Infinite - Max Cooper and Martin Krzywinski - Visualization of Infinity and Pi / Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca
Max Cooper at the London Barbican Hall performing Yearning for the Infinite. (Michal Augustini)
Yearning for the Infinite - Max Cooper and Martin Krzywinski - Visualization of Infinity and Pi / Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca
Max Cooper at the London Barbican Hall performing Yearning for the Infinite. (Michal Augustini)
Yearning for the Infinite - Max Cooper and Martin Krzywinski - Visualization of Infinity and Pi / Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca
Max Cooper at the London Barbican Hall performing Yearning for the Infinite. (Michal Augustini)
Yearning for the Infinite - Max Cooper and Martin Krzywinski - Visualization of Infinity and Pi / Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca
Max Cooper at the London Barbican Hall performing Yearning for the Infinite. (Michal Augustini)
Yearning for the Infinite - Max Cooper and Martin Krzywinski - Visualization of Infinity and Pi / Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca
Max Cooper at the London Barbican Hall performing Yearning for the Infinite. (Alex Kozobolis)
Yearning for the Infinite - Max Cooper and Martin Krzywinski - Visualization of Infinity and Pi / Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca
Max Cooper at the London Barbican Hall performing Yearning for the Infinite. (Alex Kozobolis)
Yearning for the Infinite - Max Cooper and Martin Krzywinski - Visualization of Infinity and Pi / Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca
Max Cooper at the London Barbican Hall performing Yearning for the Infinite. (Alex Kozobolis)
Yearning for the Infinite - Max Cooper and Martin Krzywinski - Visualization of Infinity and Pi / Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca
Max Cooper at the London Barbican Hall performing Yearning for the Infinite. (Alex Kozobolis)

3 · Transcendence

The 2015 π Day art takes a Mondrain perspective on π. The art was used in a collaboration with Max Cooper for his track Transcendental Tree Map from the album Yearning for the Infinite. Animation by Nick Cobby and myself. Watch the full show at the Barbican Centre.
Yearning for the Infinite - Max Cooper and Martin Krzywinski - Visualization of Infinity and Pi / Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca
Max Cooper at the London Barbican Hall performing Yearning for the Infinite. (Martin Krzywinski)
Yearning for the Infinite - Max Cooper and Martin Krzywinski - Visualization of Infinity and Pi / Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca
Max Cooper at the London Barbican Hall performing Yearning for the Infinite. (Martin Krzywinski)
Yearning for the Infinite - Max Cooper and Martin Krzywinski - Visualization of Infinity and Pi / Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca
Max Cooper at the London Barbican Hall performing Yearning for the Infinite. (Martin Krzywinski)
Yearning for the Infinite - Max Cooper and Martin Krzywinski - Visualization of Infinity and Pi / Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca
Max Cooper at the London Barbican Hall performing Yearning for the Infinite. (Martin Krzywinski)
Yearning for the Infinite - Max Cooper and Martin Krzywinski - Visualization of Infinity and Pi / Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca
Max Cooper at the London Barbican Hall performing Yearning for the Infinite. (Martin Krzywinski)
Yearning for the Infinite - Max Cooper and Martin Krzywinski - Visualization of Infinity and Pi / Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca
Max Cooper at the London Barbican Hall performing Yearning for the Infinite. (Michal Augustini)
Yearning for the Infinite - Max Cooper and Martin Krzywinski - Visualization of Infinity and Pi / Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca
Max Cooper at the London Barbican Hall performing Yearning for the Infinite. (Michal Augustini)
news + thoughts

Happy 2026 π Day—
Art for the 5%

Fri 13-03-2026

Celebrate π Day (March 14th) and enjoy the art — but only if you're part of the 5%.

Go ahead, see what you can't see.

Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca
2026 π DAY | Art for the 5%. Shown in the style of Ishihara color test plates, the art is visible only to those with colour blindness. (details)

Ishihara's Tests for Colour Deficiency

Sun 08-03-2026

Authentic and accurate images of Ishihara's test plates photographed (and lovingly color-corrected) from the 38-plate Ishihara's Tests for Colour Deficiency.

I also provide the position, size, and color of each circle on each test plate.

Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca
ISHIHARA'S TEST PLATE 6 | This plate is part of the set of transformation plates. If you see 5, you're ok. If you see 2, you're not. (details)
Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca
ISHIHARA'S TEST PLATE 18 | This plate is part of the set of mysterious hidden plates. If you don't see anything, you're ok. If you see 5, you're not. (details)

Symmetric alternatives to the ordinary least squares regression

Wed 23-07-2025

What immortal hand or eye, could frame thy fearful symmetry? — William Blake, "The Tyger"

This month, we look at symmetric regression, which, unlike simple linear regression, it is reversible — remaining unaltered when the variables are swapped.

Simple linear regression can summarize the linear relationship between two variables `X` and `Y` — for example, when `Y` is considered the response (dependent) and `X` the predictor (independent) variable.

However, there are times when we are not interested (or able) to distinguish between dependent and independent variables — either because they have the same importance or the same role. This is where symmetric regression can help.

Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca
Nature Methods Points of Significance column: Symmetric alternatives to the ordinary least squares regression. Geometry of quantities minimized in OLS and symmetric regression. OLS minimizes `\Sigma e_y^2` in `Y` ~ `X` and `\Sigma e_x^2` `X` ~ `Y`. Pythagorean regression minimizes AB (magenta). Geometric means regression (GMR) minimizes area of ABP (orange). Orthogonal regression (OR) minimizes HP (blue). (read)

Luca Greco, George Luta, Martin Krzywinski & Naomi Altman (2025) Points of significance: Symmetric alternatives to the ordinary least squares regression. Nat. Methods 22:1610–1612.

Beyond Belief Campaign BRCA Art

Wed 11-06-2025

Fuelled by philanthropy, findings into the workings of BRCA1 and BRCA2 genes have led to groundbreaking research and lifesaving innovations to care for families facing cancer.

This set of 100 one-of-a-kind prints explore the structure of these genes. Each artwork is unique — if you put them all together, you get the full sequence of the BRCA1 and BRCA2 proteins.

Propensity score weighting

Mon 17-03-2025

The needs of the many outweigh the needs of the few. —Mr. Spock (Star Trek II)

This month, we explore a related and powerful technique to address bias: propensity score weighting (PSW), which applies weights to each subject instead of matching (or discarding) them.

Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca
Nature Methods Points of Significance column: Propensity score weighting. (read)

Kurz, C.F., Krzywinski, M. & Altman, N. (2025) Points of significance: Propensity score weighting. Nat. Methods 22:638–640.

Happy 2025 π Day—
TTCAGT: a sequence of digits

Thu 13-03-2025

Celebrate π Day (March 14th) and sequence digits like its 1999. Let's call some peaks.

Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca
2025 π DAY | TTCAGT: a sequence of digits. The digits of π are encoded into DNA sequence and visualized with Sanger sequencing. (details)
Martin Krzywinski | contact | Canada's Michael Smith Genome Sciences CentrePHSA
Google whack “vicissitudinal corporealization”
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