Something to lighten the mood

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Do real people have "daugherts"? Do real people call their son "Moses", and their daughert "Apple"?


🙂
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As a person who likes contemplating Geometry and Symmetry and the very PURE business of Mathematics, I was chatting with some of my 3D friends on the beach. That's me, the spherical thing, which is a very perfect shape, IMO::

Platonic Solids.jpg


We was chatting about a very major breaking surprise in 2D Mathematics. It is that Mathematicians have solved a 50 year old problem in tessellating the 2D Plane.

https://www.quantamagazine.org/hobbyist-finds-maths-elusive-einstein-tile-20230404/

https://www.theguardian.com/science/2023/apr/03/new-einstein-shape-aperiodic-monotile

https://nakedsecurity.sophos.com/20...ngs-the-amazing-hat-shape-that-never-repeats/

It's called an Einstein Tile or Hat Tile, as in one stone or shape in German:

Einstein Tiling 3.jpg


You will notice it is based on a hexagonal symmetry at some level, which is a more repeating symmetry. But this baby is aperiodic!

In fact the floodgates have been opened. There are an uncountably infinite number of these things!


What does this mean? It could revolutionise the future shape of biscuits!

Einstein Cookie Cutter.jpg


One biscuit and one cookie cutter to rule them all! You are allowed to turn them over occasionally. I can also foresee new types of double sided jigsaws too.

Now we just need to do this in 3D! You can tell I am excited. This is the best thing I have seen since Fractals and Chaos Theory.

Which was not as useless as it first appeared. 😀
 
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This was the first winter without an audio project since a long time. Parts prices, global shortage and economics at this part of the world forced me to suspend.... But I've been active. I'm working on a cheap old Revell kit, a 1928 Mercedes SSK 1/24 model. It will take extended modifications inspired by this guy. Not that I can compete. If you are bored to watch the whole video you may skip to the dashboard chapter.