Ciro Santilli @cirosantilli 35

A polygon is a 2-dimensional polytope, polyhedra is a 3-dimensional polytope.

Things that are not nice such as:

This dude looks like a God. Ciro Santilli does not understand his stuff, but just based on the names of his theories, e.g. "Yoga of anabelian algebraic geometry", and on his eccentric lifestyle, it is obvious that he was in fact a God.

Possibly fake, but memorable:

That website needs a "create playlist" function!

The guitar is a highly imperfect instrument if compared to something like a piano, which is much more mathematically elegant.

However, Ciro Santilli just loves this imperfection for some reason, especially in the case of the electric guitar.

Bending, sliding and strumming just feel to good to not have.

And Ciro sucks are doing things in parallel, so the more single threaded approach of the guitar fits his brain/abilities better.

For those reasons, the electric guitar is Ciro's favorite musical instrument.

The most beautiful ones:see also Section "Animations of molecular biology processes"

www.youtube.com/watch?v=H_H_TF5Kxks This Lab is RIDICULOUS (2021) gives an overview of their new laboratory, and hints of the types of projects they want to carry out.

All those dedicated applied mathematicians languages are a waste of society's time, Ciro Santilli sure applied mathematicians are capable of writing a few extra braces in exchange for a sane general purpose language, we should instead just invest in good libraries with fast C bindings for those languages like NumPy where needed, and powerful mainlined integrated development environments.

And when Ciro Santilli see the closed source ones like MATLAB being used, it makes him lose all hope on humanity. Why. As of 2020. Why? In the 1980s, maybe. But in the 2020s?

What big companies have been created in Europe after World War II, that have not been bought or utterly defeated by American or Japanese companies?Because of all these failures, much fanfare was made as Spotify reached a $50B market capitalization in 2020. An art company, so cute!

As of 2023, the LVMH was the most valuable company in Europe by market capitalization^[ref]. Luxury goods. An area of industry that borders between the useless and the evil.

Europe has basically become an outsourcing hub for the United States. The fact that its starts are all sold if they become large enough just means that R&D is also outsourced.

ASML, and perhaps more meaningfully its parent/predecessor ASM International from 1964 is perhaps the biggest exception.

The key problem is that there are so many small countries in Europe, that any startup has to deal with too many incompatible legislation and cannot easily sell to the hole of Europe and scale. So then a larger company from a more uniform country comes and eats it up!

Talent mobility is another issue:

So why can't Europe unify its laws?

Because the countries are still essentially walled off by languages. Europe is the perfect example of why having more than one natural language is bad for the world.

There isn't true mobility of people between countries.

You just can't go study or work in any other country (except for the UK, when it was still in the EU) without putting a huge effort into learning its language first.

Without this, there isn't enough mixing to truly make cultures more uniform, and therefore allow the laws to be more uniform.

Europe can't even unify basic things like:

Equally so, it can't force little fiscal paradises who effectively benefit from being in Europe like Ireland, Luxembourg, Monaco, Switzerland ("not European", but should that be allowed?) and Cyprus (the EU can't even maintain its territorial integrity, let alone fiscal) to not offer ridiculously low taxes and incentives which make them entry points for foreign companies to rape Europe.

For this reason, Europe will only continue to go downhill with the years, and the United Kingdom will continue to try and endosymbiose into a state of the United States (although at times it seems that it would rather endosymbiose with China instead). On 2025 the British parliament beautifully put it that the country:

Historically, this disunion is partly due to the European balance of power, whereby countries would form alliances with old enemies to prevent another country from taking over. Also linked are failed military unification attempts by Napoleon and Hitler, though we are likely better off without the latter succeeding!!! Though those also partly failed due to wider balance of power issues involving the United Kingdom, the Soviet Union and USA, not only due to internal balance. Of course, none of that matters anymore after World War II, where other more unified Europe-sized potencies rose, first the USA and the Soviet Union, and then China, and now European disunion is nothing but a burden.

Evidence such as those makes it clear that the European Union is a failure.

One thing must be said in favour of Europe's mess however: it favours international collaboration in huge projects as a more neutral middle ground. This can be seen more clearly in the ITER and the fiasco that was the Superconducting Super Collider that was cancelled a couple of billion dollars in partly because it failed to attract any foreign investment, compared to the Large Hadron Collider which went on to find the Higgs boson as mentioned at www.scientificamerican.com/article/the-supercollider-that-never-was/.

Bibliography:

By Evan Chen.

800+ page PDF with source on GitHub claiming to try and teach the beauty of modern maths for high schoolers. Fantastic project!!!

Bibliography:

Give students answers to all questions.

Explain in extreme detail how each result was reached.

Students have the amazing capacity of not looking at answers if they don't want to.

And when they've had enough, then can read answers and understand while the problem is fresh in their minds.

If you don't give answers, no one will be able to use your online material without you being there to hold their hands.

Forbidding students from publishing their answers also goes against let students learn by teaching.

Search a lot first, and only create your own when you can't find something that suits you.

Someone else has already written everything you can come up with.

And if you do find something useful that you want to modify, propose your modifications to the author: they can also be useful to them and others.