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Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca
WELCOME TO THE 5TH DIMENSION | This isn't meant to be understood — it's meant to be enjoyed.
MAX COOPER'S ASCENT | From Max Cooper's album Unspoken Words. Music by Max Cooper. Animation by Martin Krzywinski.
Love music and science? Explore my collaboration with Max Cooper where we tell the story of infinities and animate the digits of π. Both tracks appear on Max's Yearning for the Infinite album.
Another collaboration with Max!

Max Cooper's Ascent — Making of the Music video

Enter the 5th dimension

Ascent answers the question: if you were living in a 5-dimensional room and projected digits of `\pi` onto its walls, what would you see?

1 · Ascend to higher dimensions

We know you're Yearning for the Infinite, but do you yearn for dimensions too?

Welcome to Ascent from Max Cooper's latest album Unspoken Words.

So, go ahead — ascend to higher dimensions. You may forget to come back.

2 · Premiere at the Acropolis

An early version of the Ascent video premiered at Max's Live at the Acropolis show.

ASCENT LIVE AT THE ACROPOLIS | Ascent at Live at the Acropolis Live performance. Music by Max Cooper. Animation by Martin Krzywinski. The final release of the video is slightly different from what was shown at the Acropolis.

The video expands on visual elements first presented at the And& festival in Leuven.

3 · Ascent digital art collection — own a frame

The “Ascent” digital art collection by Max Cooper and Martin Krzywinski comprises vast images of transcendence in 75 million pixels on billboards in NYC, LA, Miami, London, Berlin and Leuven.

The collection is the latest of the NFT collections curated by Mesh Lab.

Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca buy artwork
MAX COOPER'S ASCENT NFT COLLECTION | ASCENT_Black_1010000001111 (BUY ARTWORK)

They look superb in print.

buy artwork Max Cooper's Ascent (frame 5135) by Martin Krzywinski
MAX COOPER'S ASCENT | Art poster of a full frame of the music video. (buy artwork / see all my art)

4 · Video walkthrough

The video builds on work I did with Max for Transcendence from the Yearning for the Infinite, which itself was based on my 2015 Pi Day art.

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.

In 5 minutes and 55 seconds (8,520 frames), the video takes you from zero to 5 dimensions and back again.

To help you interpret what you are seeing, I walk you through the video. I also present the animation system I built for the video, which was coded from scratch.

The entire animation is built up from about 170 keyframes. Each keyframe defines (a) which objects are shown (b) the dimensionality, size and rotation of each object and (c) the zoom and rotation of the camera itself.

The walkthrough will take you through some of the important keyframes in the video — where new elements are introduced or interesting things happen.

Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca
MAX COOPER'S ASCENT #701 0:29:04 | 5/48 1.c1( 4/ 47)1.c2
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The keyframe definitions are shown in yellow boxes under the frame — these are commands that the animation system parses as it builds the scene over time. The grey boxes show position and zoom of the camera and the actual angles and sizes of objects.

Right now, all this looks confusing — not to worry, it will all be explained in the walkthrough!

5 · My other collaborations with Max

If you like math to a heavy beat and a lot of screen flashing, check out Aleph, our 6 minute video on the story of transfinite numbers.

The video is unique in that it demonstrates Cantor's diagnoal argument to proove that rationals are countable and that reals are not countable.

Love music and science? Explore my collaboration with Max Cooper where we tell the story of infinities and animate the digits of π. Both tracks appear on Max's Yearning for the Infinite album.
Another collaboration with Max!

6 · Mesh lab

Mesh was founded in 2016 to explore the intersection of music, science and art. With a growing global audience and engaged community of practitioners and activists, the platform has conceived work by leading creatives in the fields of music, digital art, film, installation, code, architecture, developing collaborations and commissions with business, arts and science institutions.

Typically, Mesh projects begin with a scientific stimulus which leads to a creative expression, incorporating a variety of digital media including AR, AI, VR, NFT, spatial audio as well as physical structures and live experiences. Collaborators and commissioners include The Babraham Institute, Zaha Hadid Architects, Dolby, L-Acoustics and PepsiCo, and have been exhibited and performances at Barbican Arts Centre, Odeon of Herodes Atticus at the Acropolis and will host an interactive art installation during Art Basel in Miami from 1—2 December.

news + thoughts

Nature Biotechnology cover

Thu 23-04-2026

My cover design on the 7 April 2026 Nature Biotechnology issue shows the dendrogram that represents a cluster of uniquely expressed (or downregulated) genes in human naive stem cells induced from such cells. Within each dendrogram block, the genomic barcode sequence (sampled from Supplementary Table 1) is depicted with a Code 39 barcode. The highlighted barcode is one of those used for cell isolation.

Ishiguro S. et al. A multi-kingdom genetic barcoding system for precise clone isolation (2026) Nature Biotechnology 44:616–629.

Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca
My Nature Biotechnology phylogenetic tree cover (volume 44, issue 4, 7 April 2026). (more)

Browse my gallery of cover designs.

Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca
A catalogue of my journal and magazine cover designs. (more)

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.

Martin Krzywinski | contact | Canada's Michael Smith Genome Sciences CentrePHSA
Google whack “vicissitudinal corporealization”
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