Moving visuals on this page — measured at 0.26% brightness change per frame and zero flashes per second; your reduce motion setting stops them. What moves, and how it was measured

Mathematical plates that draw themselves — prime counts, orbits and lattices rendered live rather than shipped as pictures. It runs continuously while on screen, and it pauses on its own whenever it scrolls out of view.

We measured it rather than guessing: the largest frame-to-frame change in average brightness is 0.26%, and it produces zero flashes per second against the threshold of three set by WCAG 2.3.1. That is well under the limit, and it is not a promise about any individual: if moving images are a problem for you, you should not have to assess ours.

Everything animated on this site honours your system’s reduce motion setting — turn it on in your operating system or browser and these pages stop moving, with nothing else lost. All the mathematics is in the text and the still figures.

Entry 7 of 7 in Numbers & structure Run itMeasured

Plates Numbers & structure

The mathematics of our own findings, drawn

?

Math: four objects taken from problems in our findings registry, chosen because each can be computed exactly — integer arithmetic throughout, no floating point in any decision, no sampling and no approximation. Dev: nothing here is an image. Every plate, sieve included, is computed in your browser when you scroll to it, and the figure under each one is the number that computation just produced. Nothing animates: these are plates, not demonstrations, and under reduced-motion they look identical because there was never a moving part.

An image of a mathematical figure is a claim you have to take on trust. A figure computed in front of you is one you can argue with. So these are not illustrations of the mathematics — they are the mathematics, run here, now, on your machine. The caption under each plate is written by the computation, not by us: if the arithmetic came out differently, the caption would say something different.

Three problems drawn and a fourth deliberately not, and that fourth is the one worth stopping at (Collatz has its own exhibit, the accelerated map). P versus NP gets an empty frame, because one registered hypothesis is all we have and the barrier is structural rather than a missing tool — separating complexity classes is an asymptotic statement, and no computation over finite nn decides it. Drawing something there anyway would be decoration, which is the one thing this museum is not for. A declared gap says more than a picture that means nothing.

01 The Chebyshev bias, and Leech’s crossing π(x;4,3)−π(x;4,1)\pi(x;4,3) - \pi(x;4,1)

Computing…

02 The Goldbach comet n=p+qn = p + q

Computing…

03 Primes between consecutive squares π((n+1)2)−π(n2)\pi((n+1)^2) - \pi(n^2)

Computing…

04 P versus NP —

Computing…

Not every problem in the registry is here. Birch and Swinnerton-Dyer and Hodge are missing because their global side needs tooling this browser does not have — the same missing library that keeps one engine from starting, on Status. The solved chess endgame has its own exhibits in Curiosities, and the cooperation tournament has its own. Listing what is absent, and why, costs one paragraph.