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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.
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 · Press release

“Ascent” is chapter 9 of Max Cooper’s audio-visual masterpiece, “Unspoken Words” — a multi-platform project incorporating music, film, installation, live experience and digital art, exploring themes around the struggle to understa nd and express our internal state.

“Ascent” is an audio-visualisation of transcendence told through the lens of music, science and art. Max Cooper said about the inception of the theme:

“I was working on an installation project for a cathedral in Leuven, trying to communicate the idea and feeling of transcendence. I wanted to create this intense experience which I couldn’t put into words, but there was an ascending musical form which captured it”

Max commissioned scientist, artist and long-time collaborator, Martin Krzywinski to express the theme visually, interpreting the idea as an ascent into higher dimensions of spatial form, the resulting 5D hypercubes collapsed back down to the two dimensions of a screen.

“I discussed the idea with Martin [Krzywinski] to make associated visual ideas from the mathematics of form beyond our everyday, which delivered the message as directly and completely as I could.”

The “Ascent” NFT collection comprises five categories of works across a range of media and valuations. Black, Plasma, Viridis, Video and Public is available via Mesh Lab on Objkt on the Tezos blockchain.

2 · NFT posters

During the video walkthrough, you might have noticed that the camera is zoomed into only a portion of the full scene.

If you're wondering what everything looks like, these posters are for you. They represent the full scene — the camera is zoomed out to capture all the objects on the stage.

The posters are available as NFTs. These are 11,520 × 6,480 pixel lossless PNGs but the scene fits into the central 6,480 × 6,480 square.

Below I provide the print resolution (ppcm = pixels per centimeter, ppi = pixels per inch) for a square (6,480 × 6,480) image printed to fit onto common European and North American formats.

2.1 · European sizes


fmt
size
(mm)
size
(inch)

ppcm

ppi
A0
841 × 1,189
33.1 × 46.8
77
196
A1
594 × 841
23.4 × 33.1
109
277
A2
420 × 594
16.5 × 23.4
154
392
A3
297 × 420
11.7 × 16.5
218
554
A4
210 × 297
8.3 × 11.7
309
784
A5
148.5 × 210
5.8 × 8.3
436
1,108
A6
105 × 148.5
4.1 × 5.8
617
1,568

2.2 · North American sizes

size
(inch)
size
(mm)

ppi

ppcm
4 × 4
102 × 102
1,620
638
5 × 5
127 × 127
1,296
510
6 × 6
152 × 152
1,080
425
7 × 7
178 × 178
926
365
8 × 8
203 × 203
810
319
10 × 10
254 × 254
648
255
12 × 12
305 × 305
540
213
14 × 14
356 × 356
463
182
15 × 15
381 × 381
432
170
20 × 20
508 × 508
324
128
22 × 22
559 × 559
295
116
24 × 24
610 × 610
270
106
36 × 36
914 × 914
180
71
40 × 40
1,016 × 1,016
162
64
50 × 50
1,270 × 1,270
130
51

3 · The collections

Three sub-collections of still images — Black, Plasma, and Viridis — complete an expansive range of 90 vast still images. These stills depict the whole scene, often revealing what exists outside of the field of vision shown in the video piece at specific moments in time.

3.1 · The black-and-white collection

Black features 50 images with five editions, and one registered collector of each piece will be randomly selected and receive a unique one of one physical giclée print, printed on 300gsm minuet cotton rag using archival inks.

The Black collection contains 50 assets. They are shown below downsampled to 1,000 × 1,000 pixels and cropped to a square format.

Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca buy artwork
MAX COOPER'S ASCENT NFT COLLECTION 01:29:01 FRAME 1897 [49] | ASCENT_Black_0011101101001 (BUY ARTWORK)
Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca buy artwork
MAX COOPER'S ASCENT NFT COLLECTION 01:34:01 FRAME 2017 [50] | ASCENT_Black_0011111100001 (BUY ARTWORK)
Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca buy artwork
MAX COOPER'S ASCENT NFT COLLECTION 01:06:01 FRAME 2545 [51] | ASCENT_Black_0100111110001 (BUY ARTWORK)
Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca buy artwork
MAX COOPER'S ASCENT NFT COLLECTION 02:21:01 FRAME 2905 [52] | ASCENT_Black_0101101011001 (BUY ARTWORK)
Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca buy artwork
MAX COOPER'S ASCENT NFT COLLECTION 02:25:01 FRAME 3001 [53] | ASCENT_Black_0101110111001 (BUY ARTWORK)
Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca buy artwork
MAX COOPER'S ASCENT NFT COLLECTION 02:04:01 FRAME 3697 [54] | ASCENT_Black_0111001110001 (BUY ARTWORK)
Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca buy artwork
MAX COOPER'S ASCENT NFT COLLECTION 02:06:01 FRAME 3745 [55] | ASCENT_Black_0111010100001 (BUY ARTWORK)
Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca buy artwork
MAX COOPER'S ASCENT NFT COLLECTION 02:08:01 FRAME 3793 [56] | ASCENT_Black_0111011010001 (BUY ARTWORK)
Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca buy artwork
MAX COOPER'S ASCENT NFT COLLECTION 02:15:19 FRAME 3979 [57] | ASCENT_Black_0111110001011 (BUY ARTWORK)
Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca buy artwork
MAX COOPER'S ASCENT NFT COLLECTION 02:18:11 FRAME 4043 [58] | ASCENT_Black_0111111001011 (BUY ARTWORK)
Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca buy artwork
MAX COOPER'S ASCENT NFT COLLECTION 02:23:03 FRAME 4155 [59] | ASCENT_Black_1000000111011 (BUY ARTWORK)
Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca buy artwork
MAX COOPER'S ASCENT NFT COLLECTION 02:27:10 FRAME 4258 [60] | ASCENT_Black_1000010100010 (BUY ARTWORK)
Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca buy artwork
MAX COOPER'S ASCENT NFT COLLECTION 03:31:21 FRAME 4365 [61] | ASCENT_Black_1000100001101 (BUY ARTWORK)
Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca buy artwork
MAX COOPER'S ASCENT NFT COLLECTION 03:39:01 FRAME 4537 [62] | ASCENT_Black_1000110111001 (BUY ARTWORK)
Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca buy artwork
MAX COOPER'S ASCENT NFT COLLECTION 03:45:01 FRAME 4681 [63] | ASCENT_Black_1001001001001 (BUY ARTWORK)
Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca buy artwork
MAX COOPER'S ASCENT NFT COLLECTION 03:48:01 FRAME 4753 [64] | ASCENT_Black_1001010010001 (BUY ARTWORK)
Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca buy artwork
MAX COOPER'S ASCENT NFT COLLECTION 03:04:01 FRAME 4897 [65] | ASCENT_Black_1001100100001 (BUY ARTWORK)
Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca buy artwork
MAX COOPER'S ASCENT NFT COLLECTION 03:08:23 FRAME 5015 [66] | ASCENT_Black_1001110010111 (BUY ARTWORK)
Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca buy artwork
MAX COOPER'S ASCENT NFT COLLECTION 03:09:13 FRAME 5029 [67] | ASCENT_Black_1001110100101 (BUY ARTWORK)
Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca buy artwork
MAX COOPER'S ASCENT NFT COLLECTION 03:10:07 FRAME 5047 [68] | ASCENT_Black_1001110110111 (BUY ARTWORK)
Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca buy artwork
MAX COOPER'S ASCENT NFT COLLECTION 03:11:02 FRAME 5066 [69] | ASCENT_Black_1001111001010 (BUY ARTWORK)
Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca buy artwork
MAX COOPER'S ASCENT NFT COLLECTION 03:13:23 FRAME 5135 [70] | ASCENT_Black_1010000001111 (BUY ARTWORK)
Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca buy artwork
MAX COOPER'S ASCENT NFT COLLECTION 03:15:23 FRAME 5183 [71] | ASCENT_Black_1010000111111 (BUY ARTWORK)
Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca buy artwork
MAX COOPER'S ASCENT NFT COLLECTION 03:16:01 FRAME 5185 [72] | ASCENT_Black_1010001000001 (BUY ARTWORK)
Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca buy artwork
MAX COOPER'S ASCENT NFT COLLECTION 03:18:02 FRAME 5234 [73] | ASCENT_Black_1010001110010 (BUY ARTWORK)
Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca buy artwork
MAX COOPER'S ASCENT NFT COLLECTION 03:20:08 FRAME 5288 [74] | ASCENT_Black_1010010101000 (BUY ARTWORK)
Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca buy artwork
MAX COOPER'S ASCENT NFT COLLECTION 03:22:23 FRAME 5351 [75] | ASCENT_Black_1010011100111 (BUY ARTWORK)
Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca buy artwork
MAX COOPER'S ASCENT NFT COLLECTION 03:26:19 FRAME 5443 [76] | ASCENT_Black_1010101000011 (BUY ARTWORK)
Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca buy artwork
MAX COOPER'S ASCENT NFT COLLECTION 03:28:23 FRAME 5495 [77] | ASCENT_Black_1010101110111 (BUY ARTWORK)
Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca buy artwork
MAX COOPER'S ASCENT NFT COLLECTION 03:30:10 FRAME 5530 [78] | ASCENT_Black_1010110011010 (BUY ARTWORK)
Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca buy artwork
MAX COOPER'S ASCENT NFT COLLECTION 03:31:23 FRAME 5567 [79] | ASCENT_Black_1010110111111 (BUY ARTWORK)
Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca buy artwork
MAX COOPER'S ASCENT NFT COLLECTION 03:33:23 FRAME 5615 [80] | ASCENT_Black_1010111101111 (BUY ARTWORK)
Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca buy artwork
MAX COOPER'S ASCENT NFT COLLECTION 03:34:13 FRAME 5629 [81] | ASCENT_Black_1010111111101 (BUY ARTWORK)
Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca buy artwork
MAX COOPER'S ASCENT NFT COLLECTION 03:35:08 FRAME 5648 [82] | ASCENT_Black_1011000010000 (BUY ARTWORK)
Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca buy artwork
MAX COOPER'S ASCENT NFT COLLECTION 03:36:10 FRAME 5674 [83] | ASCENT_Black_1011000101010 (BUY ARTWORK)
Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca buy artwork
MAX COOPER'S ASCENT NFT COLLECTION 03:36:23 FRAME 5687 [84] | ASCENT_Black_1011000110111 (BUY ARTWORK)
Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca buy artwork
MAX COOPER'S ASCENT NFT COLLECTION 04:40:11 FRAME 5771 [85] | ASCENT_Black_1011010001011 (BUY ARTWORK)
Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca buy artwork
MAX COOPER'S ASCENT NFT COLLECTION 04:47:04 FRAME 5932 [86] | ASCENT_Black_1011100101100 (BUY ARTWORK)
Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca buy artwork
MAX COOPER'S ASCENT NFT COLLECTION 04:05:23 FRAME 6143 [87] | ASCENT_Black_1011111111111 (BUY ARTWORK)
Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca buy artwork
MAX COOPER'S ASCENT NFT COLLECTION 04:15:23 FRAME 6383 [88] | ASCENT_Black_1100011101111 (BUY ARTWORK)
Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca buy artwork
MAX COOPER'S ASCENT NFT COLLECTION 04:19:10 FRAME 6466 [89] | ASCENT_Black_1100101000010 (BUY ARTWORK)
Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca buy artwork
MAX COOPER'S ASCENT NFT COLLECTION 04:20:04 FRAME 6484 [90] | ASCENT_Black_1100101010100 (BUY ARTWORK)
Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca buy artwork
MAX COOPER'S ASCENT NFT COLLECTION 04:21:16 FRAME 6520 [91] | ASCENT_Black_1100101111000 (BUY ARTWORK)
Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca buy artwork
MAX COOPER'S ASCENT NFT COLLECTION 04:22:01 FRAME 6529 [92] | ASCENT_Black_1100110000001 (BUY ARTWORK)
Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca buy artwork
MAX COOPER'S ASCENT NFT COLLECTION 04:23:23 FRAME 6575 [93] | ASCENT_Black_1100110101111 (BUY ARTWORK)
Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca buy artwork
MAX COOPER'S ASCENT NFT COLLECTION 04:32:23 FRAME 6791 [94] | ASCENT_Black_1101010000111 (BUY ARTWORK)
Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca buy artwork
MAX COOPER'S ASCENT NFT COLLECTION 04:34:02 FRAME 6818 [95] | ASCENT_Black_1101010100010 (BUY ARTWORK)
Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca buy artwork
MAX COOPER'S ASCENT NFT COLLECTION 04:48:23 FRAME 7175 [96] | ASCENT_Black_1110000000111 (BUY ARTWORK)
Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca buy artwork
MAX COOPER'S ASCENT NFT COLLECTION 05:01:21 FRAME 7245 [97] | ASCENT_Black_1110001001101 (BUY ARTWORK)
Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca buy artwork
MAX COOPER'S ASCENT NFT COLLECTION 05:09:23 FRAME 7439 [98] | ASCENT_Black_1110100001111 (BUY ARTWORK)
news + thoughts

Regression modeling of time-to-event data with censoring

Mon 21-11-2022

If you sit on the sofa for your entire life, you’re running a higher risk of getting heart disease and cancer. —Alex Honnold, American rock climber

In a follow-up to our Survival analysis — time-to-event data and censoring article, we look at how regression can be used to account for additional risk factors in survival analysis.

We explore accelerated failure time regression (AFTR) and the Cox Proportional Hazards model (Cox PH).

Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca
Nature Methods Points of Significance column: Regression modeling of time-to-event data with censoring. (read)

Dey, T., Lipsitz, S.R., Cooper, Z., Trinh, Q., Krzywinski, M & Altman, N. (2022) Points of significance: Regression modeling of time-to-event data with censoring. Nature Methods 19.

Music video for Max Cooper's Ascent

Tue 25-10-2022

My 5-dimensional animation sets the visual stage for Max Cooper's Ascent from the album Unspoken Words. I have previously collaborated with Max on telling a story about infinity for his Yearning for the Infinite album.

I provide a walkthrough the video, describe the animation system I created to generate the frames, and show you all the keyframes

Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca
Frame 4897 from the music video of Max Cooper's Asent.

The video recently premiered on YouTube.

Renders of the full scene are available as NFTs.

Gene Cultures exhibit — art at the MIT Museum

Tue 25-10-2022

I am more than my genome and my genome is more than me.

The MIT Museum reopened at its new location on 2nd October 2022. The new Gene Cultures exhibit featured my visualization of the human genome, which walks through the size and organization of the genome and some of the important structures.

Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca
My art at the MIT Museum Gene Cultures exhibit tells shows the scale and structure of the human genome. Pay no attention to the pink chicken.

Annals of Oncology cover

Wed 14-09-2022

My cover design on the 1 September 2022 Annals of Oncology issue shows 570 individual cases of difficult-to-treat cancers. Each case shows the number and type of actionable genomic alterations that were detected and the length of therapies that resulted from the analysis.

Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca
An organic arrangement of 570 individual cases of difficult-to-treat cancers showing genomic changes and therapies. Apperas on Annals of Oncology cover (volume 33, issue 9, 1 September 2022).

Pleasance E et al. Whole-genome and transcriptome analysis enhances precision cancer treatment options (2022) Annals of Oncology 33:939–949.

Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca
My Annals of Oncology 570 cancer cohort cover (volume 33, issue 9, 1 September 2022). (more)

Browse my gallery of cover designs.

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

Survival analysis—time-to-event data and censoring

Fri 05-08-2022

Love's the only engine of survival. —L. Cohen

We begin a series on survival analysis in the context of its two key complications: skew (which calls for the use of probability distributions, such as the Weibull, that can accomodate skew) and censoring (required because we almost always fail to observe the event in question for all subjects).

We discuss right, left and interval censoring and how mishandling censoring can lead to bias and loss of sensitivity in tests that probe for differences in survival times.

Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca
Nature Methods Points of Significance column: Survival analysis—time-to-event data and censoring. (read)

Dey, T., Lipsitz, S.R., Cooper, Z., Trinh, Q., Krzywinski, M & Altman, N. (2022) Points of significance: Survival analysis—time-to-event data and censoring. Nature Methods 19:906–908.

3,117,275,501 Bases, 0 Gaps

Sun 21-08-2022

See How Scientists Put Together the Complete Human Genome.

My graphic in Scientific American's Graphic Science section in the August 2022 issue shows the full history of the human genome assembly — from its humble shotgun beginnings to the gapless telomere-to-telomere assembly.

Read about the process and methods behind the creation of the graphic.

Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca
3,117,275,501 Bases, 0 Gaps. Text by Clara Moskowitz (Senior Editor), art direction by Jen Christiansen (Senior Graphics Editor), source: UCSC Genome Browser.

See all my Scientific American Graphic Science visualizations.


© 1999–2022 Martin Krzywinski | contact | Canada's Michael Smith Genome Sciences CentreBC Cancer Research CenterBC CancerPHSA