A New Tile in Newtyle - Numberphile

We're in Newtyle, Scotland, to celebrate the discovery of an Aperiodic Monotile. More links & stuff in full description below ↓↓↓

NUMBERPHILE

Videos by Brady Haran

[Nitnelav]

Love when math is so hot off the math presses that they immediately need a correction bit within the video

[layze]

I wish I had as much passion about anything as Ayliean has about aperiodic monotiling. It's actually really wholesome and the energy is contagious.

[fudgesauce]

Surely the "turtle" piece should have been called a "turtile"

[pilby]

Ayliean is a great communicator and donning the space age outfit and background as Future Ayliean is a huge plus

[monstronamaguederaz]

Ayliean a week ago: "This is genuinely a once-in-a-lifetime event".
Ayliean today: "Oh wait a sec."

[Alexander_Sannikov]

this has always confused me, because you can trivially make aperiodic tiles out of right triangles. but the problem is not to find a shape that can be tiled aperiodiacally. it's to find a shape that can _only_ be tiled aperiodically.

The enthusiasm in Ayliean is so refreshing and fun to watch.

[CamerTheDragon]

It's cool how they found not only the previous tiling, the one mentioned here, but also the one more recently not requiring the flips so soon afterwards. Interesting to see how relatively simple these tiles are, it's just a matter of finding the right one and then proving it does tile aperiodically.

[alasanof]

It's funny having someone pass around lil tiles around town.
I like that the people seem nice about it.

[dougpowers]

Ayliean is like a punk math fairy. She's a great communicator.

[kellerkind]

Those L-shaped tiles have been part of a video with Cliff Stoll (Kline-Bottles) where he devided a cake in the same manner like 6 years ago. Brady should have remembered that 🙂

[KarlyVelez-uk]

Great discovery, and Ayliean brings it alive in a special way. The enthusiasm in Ayliean is so refreshing and fun to watch..

[nerdiconium]

So glad you guys finally got to cover this! I was mainly waiting for your definitions section since that’s what’s been somewhat lacking in other videos about this

[tehlaser]

I kinda love that “humans” (well, Dave Smith, really) found this tile without knowing exactly what it was that “we” had for quite a while. Usually things go the other way: a proof by construction instead of just a raw counterexample. Those techniques often lead to unsatisfyingly complex, “messy” mathematical objects. The t-shirt tile just LOOKS like a fundamental truth of geometry, not some arbitrary, man-made technicality.

[cfgp]

i like how the tile community aren't shy of using puns to name everything

[PetraKann]

Love the ratio φ^4 to 1

That golden ratio seems to stick its beak into almost everything

[osmia]

This is the bestest explanation I've seen since I first heard of this new tile
Much thanks

[woops]

I remember hearing about this a couple of months ago. Great to see numberphile covering this finally.

[sklman]

I was so excited when I heard about this a few months a go, i casted a 200lbs hat in concrete, painted it white, and have it on display in a local park, along with a few sheet of information on the maths :)

[DemoniteBL]

I wonder if this has applications in video game design, perhaps a way to stop textures from repeating, but idk how that would affect rendering.