My wife wants us to retile our kitchen. She's gonna be SO mad at me...

This is such a good, engaging, visual, quick explanation of this topic!

This is maybe kind of pedantic (and something you surely understand, I’m just saying ~~just in case some viewers might not catch it~~ actually no, the real reason is just because I am compelled to be pedantic), but I want to note that the difficult thing isn’t a set of tiles which can be used to tile the plane in an aperiodic way, but rather to find such tiles which also cannot tile it in a periodic way.

I can’t get over how they called it a hat when it’s 100% a t-shirt

I will never understand why hardware/home-improvement stores don't sell various kinds of aperiodic tiles. I'm sure I'm not the only one who'd absolutely tile a floor or a backsplash or a whole bathroom with them.

This has been my favourite recent development in a long long time! I tried reading the paper but it kinda floated past me (I'm a lapsed professional mathematician). Would really love to see a breakdown of how it kinda works and why and what the continuum you mentioned is.

Fascinating! Some of those patterns are very reminiscent of Escher.

I just knew Penrose would get mentioned. In the early Eighties I read in Scientific American about tiling and fractals. I tried programming fractals on a Commodore 64. I was still not prepared for when in 1996 I visited Spain and saw the awesome tiling of places like El Alhambra. I even added a painted pattern to my bathroom walls when I got home.

the part about an periodic element being structured as an aperiodic tiling was interesting!

Love the way you engagingly yet simply communicated mathematic principles which were able to be understood, especially since I did terribly at school

i like how instead of talking you telepathically transmit thoughts to me

The proper response to “what’s the use of that” is a punch straight to the guts.

Kudos! A very informative, concise and entertaining explanation.