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Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca
Elements of the cover design.
Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca
Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca
data visualization + art

Science Advances Cover

6 January 2023, Issue 9, Volume 1

1 · The cover

Kijima, Y. et al. A universal sequencing read interpreter (2023) Science Advances 9.

The cover depicts three sets of 672 bases of barcode sequences, which are encoded onto 7-dimensional cubes. Three overlapping cubes are shown, one for each of the three sequencing platforms: 10X Chromium v3 scRNA-seq, Quartz-seq2, and Drop-seq.

Individual bases are encoded by oriented triangles on each of the 2-dimensional faces of the cube (of which there are 672). I created various designs and in the one chosen by Science Advances, the triangles are 7.5% of their full size (more details).

Science Advances caption: DNA sequencing read translation in high-dimensional space. The cover image was created when 672 bases of sequencing barcodes generated by three different single-cell RNA sequencing platforms were encoded as oriented triangles on the faces of three 7-dimensional cubes. Kijima et al. have developed a software tool that interprets DNA sequences to extract encoded information for additional biological analysis. The tool called, INTERSTELLAR, will facilitate development of sequencing-based experiments and sharing of data analysis pipelines.

Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca
A Rosetta Stone for DNA sequencing read translation in high-dimensional space: 672 bases of sequencing barcodes generated by three different single-cell RNA sequencing platforms are encoded as oriented triangles on the faces of three 7-dimensional cubes. Cubes encode DNA barcodes from 10X Chromium v3 scRNA-seq, Quartz-seq2 v3.1, and Drop-seq.
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I've encoded DNA in other ways — such as paths.

2 · Inspiration

We wanted to create some kind of high-dimensional encoding of sequences. For this, I looked back to my collaboration with Max Cooper's for his Ascent video from his Unspoken Words album.

My animation of 5 dimensions sets the stage for Max Cooper's track Ascent from his new album Unspoken Words.

In ascent, we animated multiple 5-dimensional cubes to create a flurries of lines and shapes — a promising direction for encoding sequences.

3 · Other covers

Browse my gallery of cover designs.

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

Martin Krzywinski | contact | Canada's Michael Smith Genome Sciences CentrePHSA
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