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If you like space, you will love this. The 2017 π Day art imagines the digits of π as a star catalogue with constellations of extinct animals and plants. The work is featured in the article Pi in the Sky at the Scientific American SA Visual blog.
If you like space, you'll love my the 12,000 billion light-year map of clusters, superclusters and voids. Find the biggest nothings in Boötes and Eridanus.The largest map there is shows the location of voids and galaxy superclusters in our visible universe.

Sky Constellation Shapes and Resources

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from an undefined
place,
undefined
create (a place)
an account
of us
— Viorica Hrincu

Having recently drawn a few skycharts (Superclusters & Voids, Sanctuary Project), I was frustrated by the lack of parsable resources for the Constellations. Not being able to find a plain-text parsable definition of the constellation figures proved impossible, I created my own.

Quotes on this page are from my conversation with the folks at Sky & Telescope and IAU.

1 · Constellation figures

The figures are based on the set drawn by Alan MacRobert for Sky and Telescope. These figures are used in Sky & Telescope's Pocket Sky Atlas by Roger Sinnott and appear in the Wikipedia entries for each constellation as well as on pages by the International Astronomical Union (IAU).

1.1 · Contents

This file contains all the information you need to draw basic star maps (with name and designation labels) and constellation figures.

The file contains a long header that explains the contents. It has been formatted to be friendly to UNIX-style command-line tools — grep away!

This is the most complete (and self-contained) sky constellation dataset of its kind.

1.1.1 · Bright Star Catalogue

All stars in the Yale Bright Star Catalogue are reported (9,114 entries, see below). Each star has an entry like this

star 1546016 337 5447 2286-1329-1 And 1 beta bet β - 43 - Mirach iau 17.433016 35.620558 V 2.05 M0+IIIa PM* High_Proper_Motion_Star

where the fields are

1546016 SIMBAD oid record number 337 HR number And constellation 5447 HIP catalogue index 2286-1329-1 Tycho catalogue index And constellation 1 participates in a constellation figure? (0/1) beta Bayer designation (letter) bet Bayer designation (letter abbreviation) β Bayer designation (Greek character) - Bayer designation (number) 43 Flamsteed designation - WDS component ID Mirach name iau name type (IAU, Simbad, supplemental, etc) 17.433016 RA (deg) 35.620558 DEC (deg) V magnitude band 2.05 magnitude M0+IIIa spectral type PM* Simbad short object type High_Proper_Motion_Star Simbad long object type

The Yale Bright Star Catalogue has 9,110 star entries. There are four additional entries in my file: HR 9602, HR 4796/4796A, HR 5727/5728 and HR 8799/8799A.

These entries are the consequence of SIMBAD records having more than one HR index value.

1.1.2 · Constellation figure paths

Each of the 88 constellations has its figure summarized in a line like this

conpath And 464(51)-1-335(phi),335(phi)-1-226(nu),226(nu)-1-269(mu), 269(mu)-1-337(bet),337(bet)-1-154(pi),154(pi)-1-63/68(tet/sig), 63/68(tet/sig)-1-8965(iot),8965(iot)-1-8976(kap),8976(kap)-1-8961(lam), 15(alf)-2-165(del),165(del)-1-163(eps),163(eps)-1-215(zet), 215(zet)-1-271(eta),337(bet)-2-603(gam1/A),337(bet)-2-165(del), 165(del)-1-154(pi),8762(omi)-1-8965(iot)

The line reports the figure as a set of comma-delimited connections, each represented by a start and end point, which are identified by the corresponding star's HR index and its Bayer (or Flamsteed) designation. The thickness (which can be 1, 2 or 3) of the connection line is the middle digit.

1.1.3 · Constellation figure lines

For each constellation, each figure line is reported individually.

conline And 1 8976-8961 8976 kap And 4.140 V 355.102115 44.333932 -0.317445 0.948277 0 8961 lam And 3.820 V 354.391012 46.458151 0.317445 -0.948277 0

where the fields are

And figure constellation 1 line thickness 8961-8976 HR index pair of connected stars (brighter star first) # then for the first star 8976 HR number kap Bayer or Flamsteed designation And constellation 4.140 magnitude V magnitude band 355.102115 RA (deg) 44.333932 DEC (deg) -0.317446 uRA, unit vector to other end, RA component 0.948276 uDEC,unit vector to other end, DEC component 0 end gap? # followed by the same set of fields for the second star. 8961 lam And 3.820 V 354.391012 46.458151 0.317445 -0.948277 0

1.1.4 · Constellation boundary lines

Piece-wise linear constellation boundaries are reported in conbound_pair lines. These boundaries are taken from https://vizier.cds.unistra.fr/viz-bin/VizieR-3?-source=VI/49/bound_18.

For example, the boundaries for Crux are

conbound_pair Cru 1 179.070614 -55.695864 179.057196 -64.695870 conbound_pair Cru 0 179.057196 -64.695870 194.438279 -64.677043 conbound_pair Cru 1 194.438279 -64.677043 194.334403 -55.677180 conbound_pair Cru 1 194.334403 -55.677180 179.070614 -55.695864

where each line reports a boundary line between two (ra,dec) points. The fields are

constellation duplicate_flag ra_start dec_start ra_end dec_end

1.1.5 · Constellation boundary paths

Each conbound_pair line is followed by a conbound_path line that reports the representation of the line segment along a great circle. This makes for nicer paths on maps using projections such as azimuthal equidistant.

conbound_path Cen 0 179.057196,-64.695870 179.057373,-64.605870 179.057549,-64.515870 ... 179.070409,-55.875864 179.070512,-55.785864 179.070614,-55.695864

1.2 · Changes

 + added constellation boundaries

 + now all stars in Yale BSC are reported

 + records for line points that do not connect fully to a star
   (there's a gap between the end of the line and a star) are modified
   with ra/dec offsets

 + records for line points that are midpoints between two stars are
   annotated with the HR index of both stars

 + added shape for Microscopium, which is a wishbone analogous to
   Telescopium with the bonus that they point at each other

 + modified shape for Telescopium to be a wishbone by adding
   connection between alpha and midpoint between delta 1 and 2.

1.3 · Corrections

 + magnitude of alpha Com fixed to 4.32 from 5.08, which is the V
   magnitude reported in SIMBAD.
   
 + fixed midpointa 31-o3 (in Cygnus, which was a little off, as can be
   seen on this map

   old  3    20.25019  42.5288 31-o3Cyg 7735,7751
   new  3.8  20.24253  42.7722 31-o3Cyg 7735,7751

   The stars have Simbad V magnitude 3.8 (31 Omi, o1) and 
   3.98 (31 Cyg, omi2), so the brighter is used.

 + The second entry for delta Vela had a slightly different ra/de

    1.95  8.74506 144.7083 dlt 2Vel
    ...
    5.1   8.74469 144.7003 dlt 2Vel

   I could not find a reason for this -- tt may be that the second
   record refers to delta Vel B (delta Velorum is a triple star
   system: Aa Ab and B).  These stars are extremely close to each
   other so I've changed the second record to point to delta Vel A
   (same as first record).

1.4 · Sky & Telescope magazine format

The data source for the constellation shapes was provided to be by Roger Sinnott in an in-house format used by Sky & Telescope's sky charting software.

I worked from this file to create edits and correction and provide an updated version of this file here. Unless you're working with the S&T software, you're likely to find the file linked to above more useful.

2 · Bitmap, SVG and PDF constellation shapes

The shapes of all the constellations and the stars that define the asterisms shown in the image below. I also include all the 110 Messier objects with common names in this map (hollow circles).

The map also shows the galactic equator and the ecliptic. The vernal equinox, summer solstice, autumn equinox and winter solstice occur along the ecliptic at right ascension 0/360 (Pices), 270 (Sagittarius), 180 (Vigo) and 90 (Gemini/Taurus).

Whole-sky star charts are traditionally drawn with 360 right ascention on the left in decreasing order towards 0 on the right.

Sky Constellations Shapes and Resources / Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca
All 88 IAU constellations and their stars. Also included are all 110 Messier objects.

You can download this file as PNG, SVG or PDF.

If you're interested in more astronomical resources, check out my Universe Superclusters and Voids resource page.

news + thoughts

Propensity score weighting

Mon 04-05-2026

It is not certain that everything is uncertain. —Blaise Pascal

We have already explored how we can mitigate bias caused by confounding variables in observational studies using propensity score (PS) matching (PSM) and propensity score weighting (PSW). However, any statistical model is only as good as its assumptions and, if it is specified incorrectly, it can itself produce biased estimates of the treatment effect.

Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca
Nature Methods Points of Significance column: Double Robustness. (read)

This month, we explore double robustness, a powerful statistical concept that provides a valuable “safety net” against the risk of an incorrect model. It offers two opportunities, instead of just one, to obtain a valid estimate of the treatment effect — making it possible to draw credible causal inferences from observational data without having to depend on a single set of modeling assumptions.

Kurz, C.F., Krzywinski, M. & Altman, N. (2026) Points of significance: Double Robustness. Nat. Methods 23:868–869.

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
Google whack “vicissitudinal corporealization”
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