I'd never looked into Penrose Tilings in this depth before, and they're far weirder than I thought. (See also the Teglon, #Anathem fans!) #Maths #PopMaths #Symmetry
https://www.youtube.com/watch?v=48sCx-wBs34
The Infinite Pattern That Never Repeats

YouTube

@_thegeoff

Thank you for posting the Veritas' YouTube video.

I found your post while searching for posts about #Symettry.

I had never looked into #PenroseTilings at all & I'm grateful for the introducción to them.

My son had done a science fair project on the #GoldenRatio and the Fibonacci sequence - when I had taught at a public school the sixth graders close between: the #FibonacciSequence Escher's work or tangrams, so I suggested he look at the three #maths concepts.

Thank you. 🥰

@CherylBlueWave Lovely to know folk enjoy it :)
That's the weird thing with maths - I did the whole symmetry and Fibonacci sequence thing at primary school when I was maybe 7 years old, and it just kept cropping up, and working as a science bookseller in my 30s I ended up chatting to university professors who basically studied just that (if in some more detail), and 20 years later I'm still learning new things about it. As somebody who is physics trained, there's something weirdly deep about it.
@CherylBlueWave Female heroes of science: Emmy Noether. She effectively showed that for certain groups of symmetries (the "certain groups" relating to "our universe") each symmetry corresponds to a conservation law, eg conservation of energy, or of angular momentum. She's legendary in physics circles, her work is still central to modern physics and at least as important as Einstein's (he was a strong supporter of her), she's just not known much outside the field.

@_thegeoff

Thank you? Geoffrey.

I am learning so many new things from you, and am delighted with your page.

I could get lost in it.

🥰

@CherylBlueWave That's my aim 👍 😎

@_thegeoff

Thank you.

Having two kiddos of my own, homeschooling due to COVID, sources such as yours are gold.

@CherylBlueWave I'm very much not a teacher - as a school science technician that's an important distinction, I'm not qualified to teach and don't claim to be. But I love the informal education aspect, being geeky and passionate about science and having fun with it. So please feel free to pester me for ideas and demo videos, public outreach is literally part of my job description and something I love :)

@_thegeoff

Count on it.

Wait, that's arithmetic.

Your specialty gives me something to teach.

I've always found textbooks to be lacking except as a collection of ideas to go beyond.

@_thegeoff

I love that the basics of these concepts are introduce at younger and younger aves.

The freedom to explore opens their eyes to what could perhaps be unlimited possibilities

Then, when they later learn the math and physics behind it, they can build on what was taught them and make discoveries of their own.

@CherylBlueWave Exactly! Maths isn't arithmetic (well, it is a bit, but that's like saying carpentry is hammers). Maths is finding patterns and understanding them, and you can never be too young. Like you say, Fibonacci is a great thing to introduce at young primary school age, and yet it ends up in some of the most deep, fundamental aspects of maths and science.

@_thegeoff

Well-said and quite true.

I'm learning as much as my kids, and it's great!