More information at Wired.

*via math-fun.*

Apparently those symbols winding their way around the garden are “plant growth algorithms”, whatever those are.

There’s also a golden-ratio-thingy water feature, of course.

You can thank Winton Capital, sponsors of all sorts of worthy maths projects, for this bit of mathsy art.

]]>Marcus du Sautoy has teamed up with animator Simon Russell to create this animatino to accompany Messiaen’s *Quartet for the end of time*. It’s got all the usual arty maths things in it – the Fibonacci sequence and golden ratio, prime numbers, polygons and polyhedra of all sorts – as well as the less well-trodden sporadic group $M_{12}$. It all comes together quite nicely, though I much prefer the elegant end to the spiky-frenetic start.

There’s a page describing all the maths ideas to be found in the video at Sinfini Music.

*via Marcus du Sautoy and Sinfini Music on Twitter*

*via Colossal*

Chris Watson has written in to tell us about his site, *Tessellation Art*, where he sells his heavily Escher-inspired prints. They’re available in a range of sizes and media, and quite affordably priced. I particularly like the print above, titled *Vortex*.

This is a really nice idea. *Le Livre de l’Incomplétude* (*The Book of Incompleteness*) is an “artistic appropriation of Gödel’s incompleteness theorem,” initiated by artist Débora Bertol. The superficial understanding of that theorem is that every consistent formal theory contains truths which can’t be proved inside that theory, so the book’s conceit is that it will catalogue as many different arithmetic formulas as possible that evaluate to each of the numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.

I think it’s a really charming take on one of the most abstract and hard-to-understand subjects in maths.

When you go to the site, you’re presented with a column of forms, one for each number. You can submit as many formulas as you like for each number; clicking the **?** button submits what you’ve entered for verification. Valid formulas are immediately tweeted by @l_incompletude, and once there are at least 100 formulas for each number they’re going to start publishing an ebook.

The claim that each proposed solution is verified automatically made my pedantry finger twitch, so I of course immediately entered the following:

Gödel’s first incompleteness theorem states that a system is either incomplete or inconsistent; the Book of Incompleteness seems to have plumped for inconsistency.

… which sort of undermines the project. So maybe it’s just a bug.

Anyway, thinking up new ways of expressing the same number is a relaxing, meditative exercise, like raking a zen garden. I might spend a while submitting $0 = n-n$ for different $n$ for a while.

@l_incompletude on Twitter

]]>John Edmark has 3d-printed a series of sculptures which do something rather remarkable when you rotate them. In the stop-motion animation above, the sculpture rotates by the golden angle in each frame.

**See more:** Blooming Zoetrope Sculptures by John Edmark at Instructables.

*via Henry Segerman on Google+*

It’s a Flash applet, which means it doesn’t work on mobile devices :(

**Play **Doodal

Erik Åberg is selling a short documentary about these lovely foldy cubes on his website.

*via Will Davies on Twitter*

*Intersections* by Anila Quayyum Agha.

*via Colossal.*