Ciro once commented that the best game is an infinitely hard one, where you can progress infinitely. To which his great friend J. replied:
Fine, so the perfect game for you is mathematics. Stage one: prove the Riemann hypothesis!
Or more broadly, one may argue that the perfect video game is life itself, or difficult life goals like making money, becoming famous or changing the world.
Thinking about it, "infinitely hard" is perhaps not a very precise term, as it could be interpreted as impossible. And if you have mathematical proof that something is impossible, it would be "pointless" to try, trying would be equivalent to pure meditation.
But so be it, you get the idea.
But this is basically what Ciro feels on every video game. It happens too often on PVE games that things are is either:
  • too slow and easy (Ciro would rather skip those with saves made by other)
  • or too fast hard, Ciro would rather tool-assisted speedrun those parts
Not to mention the incredible breach of suspension of disbelief of most PvE games where enemies are unbelievably stupid. E.g., why doesn't Bowser just build one fucking wall 15 tiles high to prevent Mario from coming through to his castle? And then put a gate and a hundred guards in front of it? TODO there was a YouTube video of this, I think it was Toad pointing it out to Mario that it is quite weird that Bowser is so stupid, it almost feels like he wants to be beaten.
Every vector space is defined over a field.
E.g. in , the underlying field is , the real numbers. And in the underlying field is , the complex numbers.
Any field can be used, including finite field. But the underlying thing has to be a field, because the definitions of a vector need all field properties to hold to make sense.
Elements of the underlying field of a vector space are known as scalar.
Magic: The Gathering by Ciro Santilli 40 Updated 2025-07-16
It is also the one with the most cumbersome name possible, containing even a bloody colon punctuation in it!
However, besides that, Magic has another major flaw: the cards of old formats (Legacy and Modern), which are the only really interesting ones, are fucking expensive: Section "Magic: The Gathering is too expensive".
Like in mathematics, the most beautiful decks are those that do crazy things:
  • infinite combos
  • semi-infinite combos that allow you to likely draw your entire deck or deal 20 damage
  • all-in decks that either win or lose on turn two
  • and lands
All of this comes to a certain extent from the deep asymmetry that permeates the game.
It is also really interesting to watch as new sets as spoiled and try to guess if certain cards will have any impact on the Modern or Legacy metagame.
Here are some cool decks:
If Ciro were to ever overcome his cheapness and play the legacy forma (which will never happen), he would likely play one of the following decks when trying to be able to win at all:Both of this decks focus on cheating a huge creature into play in one go, and both have combo protection methods (discard for turbo depths, and counterspells for sneak and show). Ciro believes that those decks reflect his personality well, notably Ciro Santilli's self perceived creative personality. Related decks that don't appeal as much to Ciro:
  • reanimator: you have to worry about graveyard hate all the time, worrying is bad
  • storm: you have to play too many spells, it's tiring. Ciro would rather put a fattie into play and swing once.
And above all, Ciro would never play a fair deck. Grinding victories is not for him. He'd rather quickly decide win/lose status and move on.
Competitive commander is also interesting, although matches tend to be much more random so the format is harder to digest, see for example this channel; Playing With Power MTG channel.
In Ciro's mind, Urza's block is the most epic of all, followed by the masques block. Those sets had a ridiculous power level and epic art, and they happened just before Ciro Santilli started playing during Invasion, which had an extremely low power level in comparison. So Ciro saw some cards from those slightly older formats floating around, but not many, and they felt so mystical and awesome.
ChannelFireball is one of the best Legacy resources out there, but they have too much crap filling in between legacy videos unfortunately.
The following creators share many of Ciro's interests and output large quantities of interesting content covering all memes/overpowered combos of new sets:
Ciro was pleased when he learnt that Steve Wozniak plays magic the gathering.
Magic's competitive play became a mess in the late 2010's. They had a clear tournament structure, but they decided to start changing things every 6 months, and give tournaments meaningless names like "Mythic championship", and it just became impossible to follow what is what.
www.youtube.com/watch?v=5hk3IOQiisg Crazy MTG Scandals That Changed The Game by Nikachu (2021). Good list:
  • obviously wrong card named
  • Dryad arbour camouflaging as a land
  • go to combat
Corollary by Ciro Santilli 40 Updated 2025-07-16
An easy to prove theorem that follows from a harder to prove theorem.

Pinned article: Introduction to the OurBigBook Project

Welcome to the OurBigBook Project! Our goal is to create the perfect publishing platform for STEM subjects, and get university-level students to write the best free STEM tutorials ever.
Everyone is welcome to create an account and play with the site: ourbigbook.com/go/register. We belive that students themselves can write amazing tutorials, but teachers are welcome too. You can write about anything you want, it doesn't have to be STEM or even educational. Silly test content is very welcome and you won't be penalized in any way. Just keep it legal!
We have two killer features:
  1. topics: topics group articles by different users with the same title, e.g. here is the topic for the "Fundamental Theorem of Calculus" ourbigbook.com/go/topic/fundamental-theorem-of-calculus
    Articles of different users are sorted by upvote within each article page. This feature is a bit like:
    • a Wikipedia where each user can have their own version of each article
    • a Q&A website like Stack Overflow, where multiple people can give their views on a given topic, and the best ones are sorted by upvote. Except you don't need to wait for someone to ask first, and any topic goes, no matter how narrow or broad
    This feature makes it possible for readers to find better explanations of any topic created by other writers. And it allows writers to create an explanation in a place that readers might actually find it.
    Figure 1.
    Screenshot of the "Derivative" topic page
    . View it live at: ourbigbook.com/go/topic/derivative
  2. local editing: you can store all your personal knowledge base content locally in a plaintext markup format that can be edited locally and published either:
    This way you can be sure that even if OurBigBook.com were to go down one day (which we have no plans to do as it is quite cheap to host!), your content will still be perfectly readable as a static site.
    Figure 5. . You can also edit articles on the Web editor without installing anything locally.
    Video 3.
    Edit locally and publish demo
    . Source. This shows editing OurBigBook Markup and publishing it using the Visual Studio Code extension.
  3. https://raw.githubusercontent.com/ourbigbook/ourbigbook-media/master/feature/x/hilbert-space-arrow.png
  4. Infinitely deep tables of contents:
    Figure 6.
    Dynamic article tree with infinitely deep table of contents
    .
    Descendant pages can also show up as toplevel e.g.: ourbigbook.com/cirosantilli/chordate-subclade
All our software is open source and hosted at: github.com/ourbigbook/ourbigbook
Further documentation can be found at: docs.ourbigbook.com
Feel free to reach our to us for any help or suggestions: docs.ourbigbook.com/#contact