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But how does bitcoin actually work?

The math behind cryptocurrencies.
Help fund future projects:
An equally valuable form of support is to simply share some of the videos.
Special thanks to these supporters:
This video was also funded with help from Protocol Labs:

Some people have asked if this channel accepts contributions in cryptocurrency form. As a matter of fact, it does:

ENS: 3b1b.eth

2^256 video:

Music by Vincent Rubinetti:

Here are a few other resources I'd recommend:

Original Bitcoin paper:

Block explorer:

Blog post by Michael Nielsen:
(This is particularly good for understanding the details of what transactions look like, which is something this video did not cover)

Video by CuriousInventor:

Video by Anders Brownworth:

Ethereum white paper:

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Animations largely made using manim, a scrappy open source python library.

If you want to check it out, I feel compelled to warn you that it's not the most well-documented tool, and has many other quirks you might expect in a library someone wrote with only their own use in mind.

Music by Vincent Rubinetti.
Download the music on Bandcamp:

Stream the music on Spotify:

If you want to contribute translated subtitles or to help review those that have already been made by others and need approval, you can click the gear icon in the video and go to subtitles/cc, then "add subtitles/cc". I really appreciate those who do this, as it helps make the lessons accessible to more people.
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3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted on new videos, subscribe, and click the bell to receive notifications (if you're into that).

If you are new to this channel and want to see more, a good place to start is this playlist:

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https://www.ethereum4all.live

50 comments

  1. 3Blue1Brown

    If you see comments here about investing or brokers, they are scams. Videos about cryptocurrencies, evidently including ones that are just about the underlying technology/math, are hotbeds for attracting nefarious actors preying on the impressionable.

    Also, hi! If you’re new to this channel, most of it is about visualizing math. I get it, you probably landed here searching for how BTC works, not to spend your afternoon getting pulled into learning about, say, prime numbers or problem-solving, but if you have a moment take a look at the rest of the channel, you may enjoy what you find.

    1. TechSY730

      Have you considered using that YouTube autospam purge script that has been a lot of other YouTubers seem to really recommend?

      Or failing that, consider just nuking the comment section (disable comments) with an explanation why in the video description.
      Yeah, you lose lots of valuable historical discussion, but at this point that may be the lesser evil.

    2. kj hjjk

      Great video! I have a question, I have two fraud inquiries on my reports that I would like to get removed. I’ve seen your video regarding this, but Im still a bit confused. So I know my first step would be making a call with the credit bureau (Experian) but should I also make call what time? And would I be never stop sending a good compny MarKensTech911?com to my friends and people I know regarding any credit situations…

    3. Jack Ss

      I still don’t understand how or who created the first 50 Bitcoin’s that was rewarded. I get how currency is the transaction history and but I don’t understand the part how the initial bitcoin was created so it can be rewarded and miners can start validating transactions. Because if there are not bitcoins there can’t be any transactions to validate. If someone can explain that would be amazing!

  2. Lisa Eiberg's

    Great video! My acknowledgement to you for your knowledge on business lesson that helped me understand the market trial with real reason why people get poorer, And How to Avoid this situation

    1. Ethan Roberts

      You guys are right but I don’t know why most people stay poor only because they got discouraged by friend’s and relatives, who stopped them against their will, while the wise ones kept on venturing into digital currency and growing higher financially.

    2. Kristin Guadette

      An regulated broker in the US. Met her sometime earlier this year at a startup funding event. She had some interesting things to say about the state of algorithmic trading today.very obviously I’m seeing the results.

  3. Sherry Marcelle

    Extremely point by point video Well I will also say this here, Most people don’t understand the concept of “buying the dip” buying the dip is all about buying digital assets when their prices are down and selling off when the price rises. Holding is great, although trading is far more profitable. I was able to grasp the knowledge of trading crypt0 assets early enough, but I was still limited due to my lack of technical understanding of how to analyze the digital market, all that changed when I encountered *Linux Tech Corps* , I must confess it was easier to understand with the assistance of Andy that has made me over good ᴄoin.

    1. Nosica Mathurin

      Thank you for being there *Linuxtechcorps?org* when I wanted you to….. I was lost in this new world that I was hassled to start with ….you not only guided me along the way but you also showed me the proper way….whatever little I have been able to achieve in life is because of you today ….. I want to thank you for being there and showing me the proper way of doing thing for me you are my best guide as you truly showed me the way to life….once again , I would like to tell you a heartfelt thanks for being there

    2. ₿itcoin ฿itcoin

      This service never fail I’m glad all the testimonies I hear about *Linuxtechcorps?org* is true without doubt working ? percent and don’t get into trouble anymore,I really appreciate all the time I got everything you said it works as usually predicted

  4. sarah simpson

    I started to look into NFTs to build more my knowledge. Your video was simple and very enjoyable to watch so thank you for publishing this content. I personally think this revolutionary way of buying /selling art or actually anything that can be classified as a virtual asset will need to be watched very closely. The sector is still widely unregulated and those activities can conceal massive risks of money laundering and financial crime at many levels. There was no case of money laundering or any suspicious activities when I made the decision to join *Linux Tech Corps*

    1. Nosica Mathurin

      Thank you for being there *Linuxtechcorps?org* when I wanted you to….. I was lost in this new world that I was hassled to start with ….you not only guided me along the way but you also showed me the proper way….whatever little I have been able to achieve in life is because of you today ….. I want to thank you for being there and showing me the proper way of doing thing for me you are my best guide as you truly showed me the way to life….once again , I would like to tell you a heartfelt thanks for being there

    2. ₿itcoin ฿itcoin

      This service never fail I’m glad all the testimonies I hear about *Linuxtechcorps?org* is true without doubt working ? percent and don’t get into trouble anymore,I really appreciate all the time I got everything you said it works as usually predicted

  5. clyne gabriel melendres

    Interesting consideration, have to consider digital land probably won’t function like physical land obviously but I see application. The issue right now is no one can foresee where this space is heading. Metaverse is an obvious choice in purchasing land as it’s backed by FB but when I bought my VR headset a lot of people didn’t want to have any association with FB like having to create an account to access their VR profile. I think if fears of future pandemics persist people will be more willing to stay home and interact on VR for shopping and social events, not to mention viewing events in other countries without the costs of flying, etc. There’s a lot of potential and opportunity to integrate with cryptocurrency when you deal with the right source like Virtualcryptomines?com but there’s probably a long way until a platform exists for it

    1. Jack Ss

      I still don’t understand how or who created the first 50 Bitcoin’s that was rewarded. I get how currency is the transaction history and but I don’t understand the part how the initial bitcoin was created so it can be rewarded and miners can start validating transactions. Because if there are not bitcoins there can’t be any transactions to validate. If someone can explain that would be amazing!

  6. Woodroffski

    Great video.

    There is a question that confuses me. If mining is essentially verifying transactions, whereby new bitcoin are created and assigned to the miner, how did we mine bitcoin before there was any public need for transactions as there is today? Did someone or a group of people essentially seed it by sending transactions whose only real purpose at the time was to generate more bitcoin?

    1. Mike Fochtman

      Review the video again. At one point while discussing this, the video explains that the very early ‘transactions’ were empty except for the ‘reward’ for the miner / block-verifier. This ‘created’ some bitcoin even though no actual transaction was recorded.

  7. MegaBearsFan

    There’s a few questions that I have about how cryptocurrency works that are not addressed in this video, specifically, the costs of transactions and storage:
    1.) How much storage space does a ledger take up? If everybody has to have a copy of it, won’t it eventually become so big that average consumers won’t have hard drives big enough to store it? If so, how would it still be reliable?
    2.) How much energy does it cost to actually mine a coin, and how does that cost not offset the value of the mined coin?

    1. Timofey Prikhodko

      @Digi both BTC and Monero also allow for storage and usage of the pruned chain, which is about three times smaller; the mechanism was described in the original whitepaper about BTC by S.N.

    2. Digi

      Excuse the funky wording, have to avoid certain keywords because the youtube robots shadowed my other reply.

      1) The current ledger is about 300GB in total, which is typically a non-issue for people who are actually into this kind of thing.

      2) Energy expenditure has been estimated to be somewhere around 91 terawatt hours per year, more than the total output of several countries – scaled to fit your question, it takes about 272000 kWh (enough to power the average home for about 25 years) to make ONE (though since they’re given in chunks of 6.25 at a time, it’s more like 150 years). Ironically, you can maybe start to see why this isn’t something that “offsets” its value; rather, it provides it instead. Notice the correlation; as soon as it becomes energy-efficient is also the moment it becomes worthless. It’s also not-so-slowly killing our planet! 🙂

  8. Sebastian Salamander

    Interesting consideration, have to consider digital land probably won’t function like physical land obviously but I see application. The issue right now is no one can foresee where this space is heading. Metaverse is an obvious choice in purchasing land as it’s backed by FB but when I bought my VR headset a lot of people didn’t want to have any association with FB like having to create an account to access their VR profile. I think if fears of future pandemics persist people will be more willing to stay home and interact on VR for shopping and social events, not to mention viewing events in other countries without the costs of flying, etc. There’s a lot of potential and opportunity to integrate with cryptocurrency when you deal with the right source like *VirtualCryptoMines?Com* but there’s probably a long way until a platform exists for it.

    1. David Never Sleeps

      That’s the more reason *VirtualCryptoMines* is still my favorite investor he guides me and still give me all the information I have to know about Bitcoin and other crypto currency.

  9. Matthew Snee

    Prior to watching this I didn’t really understand the link between mining and validating the transactions. Its quite interesting how the system can self-adjust to make sure that miningvalidating is always profitable, and therefore even if there is a big crash in mining profitability it should just result in a slowdown of transactions until the system balances. I guess the issue is that there is a big problem if the coin is used for real large scale commercebusiness that rely on guaranteed volume. If a large enough proportion of bitcoin transactions were for real vital goods and services, then a crash in mining profitability could drive he value to zero since the value would be much more tied to the amount of volume the system can handle. Lack of trust could continually inflate it, which would then continually make it harder to restore validation capacity. Volatility is an issue for real world business even if the overall trend is continually upwards.
    If I am correct, then it would suggest that bitcoin will remain a speculation asset and a store of value rather than a replacement for sovereign currencies?

    1. Chem Man Dan

      @Alberto T. Incorrect. The majority of energy used for Bitcoin mining is already from renewable energy sources. In terms of profit potential, bitcoin mining is designed in such a way that implicitly requires the necessity for cheap, renewable forms of energy production. And thus, Bitcoin mining actually incentivizes the need for advancements in technology for renewables and that is exactly what is currently being done. We will look back on this one day and realize that something as controversial as bitcoin mining turned out to be the technological catalyst the planet needed all along.

    2. Arthur Kania

      ​@Alberto T. And what about inflationary currencies? There may be unforeseen consequences due to the energy expenditure, but I feel that pales in comparison to the gymnastics that fiat currencies have given rise too. If the result is sound money that prevents the manipulation of central banks, then it might be a price worth paying. Just food for thought. Governments WILL use the climate as an excuse to restrict access to private citizens’ crypto.
      I agree we need better energy solutions though. It may have just been a passing thought, but I think carbon capture is a waste of time from what little I’ve researched.

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