Iterated Function Systems

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  • Опубликовано: 29 сен 2024
  • Algorithm Archive: www.algorithm-...
    Source code: github.com/lei...
    Github sponsors (Patreon for code): github.com/spo...
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    Github: github.com/leios
    I know everyone has done videos on a similar topic before, but it is usually through the perspective of chaos games, which is really cool, but not intuitive. I am hoping this project gives some intuition as to why a chaos game works.

Комментарии • 64

  • @LeiosLabs
    @LeiosLabs  4 года назад +41

    I know, everyone has done videos on this and similar topics before, BUT it usually starts from the chaos game perspective, which is slightly less intuitive to me than the function system approach. Also, this is my first video back in a while, so please don't judge it too harshly!
    This video will (hopefully) introduce a series on fractals, where we talk about some Hutchinson operator code, restricted chaos games, and fractal flames.

    • @swaree
      @swaree 4 года назад +4

      Glad to have you back!

    • @LeiosLabs
      @LeiosLabs  4 года назад +5

      @@swaree haha, glad to be back!

    • @turevedin9968
      @turevedin9968 4 года назад +3

      Yeah I've seen this from the chaos game perspective but this video was much more intuitive. It's easier to see how that iterative function created the sierpinski's triangle and from there I can sort of get why the chaos game would create it as well. Love your videos man

    • @LeiosLabs
      @LeiosLabs  4 года назад +3

      @@turevedin9968 Right, we'll actually delve into that further with the next videos in the series. Pretty excited!

    • @shoam2103
      @shoam2103 4 года назад +1

      Chaoscope has a really nice rendering algorithm for ifs and similar fractals. Would be nice to try implement that..

  • @j-maffe
    @j-maffe 4 года назад +19

    Great to have you back!

  • @therealDannyVasquez
    @therealDannyVasquez 4 года назад +7

    Can we dive down some rabbit holes? Those flame-looking fractals look mega interesting!

    • @LeiosLabs
      @LeiosLabs  4 года назад +6

      Yup! That's the plan! I have 4 related videos on the list.

  • @Adowrath
    @Adowrath 4 года назад +3

    Dude you can't just mention Fractal Flames and bait me like that!
    On a serious note; awesome seeing you back!

  • @Tahoza
    @Tahoza 4 года назад +4

    Where have you been? Why did you come back? It seems like you haven't posted anything for a year or so.

    • @LeiosLabs
      @LeiosLabs  4 года назад +4

      I know! I kept trying to make stuff in the last year, but I was in the middle of finishing my PhD and am now working as a postdoc at MIT. Kinda just ran out of time... That said, I am making this project a priority again!

  • @ruansousa8118
    @ruansousa8118 4 года назад +5

    Hey, this is pretty cool! This is my first time hearing about chaos games, altough i had heard about fractals before. Thanks for making the video :)

    • @LeiosLabs
      @LeiosLabs  4 года назад +1

      I'm glad you liked it! They will definitely appear in future videos! Lots to say about them!

  • @NonTwinBrothers
    @NonTwinBrothers 4 года назад +1

    Oh cool, I started rewatching some of these not too long ago, lol

  • @talarica543
    @talarica543 4 года назад +1

    I'm glad you are back man

    • @LeiosLabs
      @LeiosLabs  4 года назад

      I am glad to see you back!

  • @martinpetersson4350
    @martinpetersson4350 4 года назад +1

    Finally a new offering from Schlossboss!

    • @LeiosLabs
      @LeiosLabs  4 года назад +1

      I'll hopefully be getting more content out regularly on youtube.

    • @martinpetersson4350
      @martinpetersson4350 4 года назад +1

      ​@@LeiosLabs Quality not quantity, and don't feel forced to :)

  • @m1lkweed
    @m1lkweed 4 года назад +37

    He's alive?
    He's alive!

    • @LeiosLabs
      @LeiosLabs  4 года назад +19

      Haha, I'll be making an update video soon to "explain my absense." Essentially, I got a PhD and am working at MIT now.

    • @m1lkweed
      @m1lkweed 4 года назад +1

      LeiosOS Congrats, will you be sharing your thesis?

    • @LeiosLabs
      @LeiosLabs  4 года назад +6

      @@m1lkweed github.com/leios/thesis

    • @evanbelcher
      @evanbelcher 4 года назад +1

      @@LeiosLabs wait that's sick. Big moves!

    • @iminni3459
      @iminni3459 4 года назад

      @@LeiosLabs std :: cout

  • @renderjay6035
    @renderjay6035 Год назад

    You Can Make These With A Kaleidoscope Effect And Repeating It!

  • @ferdinandkraft857
    @ferdinandkraft857 4 года назад +1

    Who can dislike a video like this?

    • @LeiosLabs
      @LeiosLabs  4 года назад

      So far, 3 people. I'm glad everyone likes it so far!

  • @notgeorge759
    @notgeorge759 4 года назад +1

    I just subbed and this channel seems awesome! It's like a more concise 3blue1brown. It's also an older channel :O
    Hope to see you pushregular content now, but at your own pace and not stress about it :)

    • @LeiosLabs
      @LeiosLabs  4 года назад

      Yeah, the goal of youtube is to be kinda like a more concise 3b1b, but with a focus on computer science. We can get away with this because we have more in-depth discussions on twitch and the algorithm archive.
      Thanks for the sub! I hope future videos life up to your expectations!

    • @notgeorge759
      @notgeorge759 4 года назад +1

      @@LeiosLabs I honestly wouldn't mind longer videos because you know, the RUclips algorithm and all likes more watch time. But I'm not sure if everyone would like that. Hopefully you can think of ways to make RUclips sustainable on its own (maybe like a short+long vid on the same topic idk :p ). But hey I don't suggest stressing too much on the RUclips thing either.
      Anyways I wish you all the best for the future!

    • @LeiosLabs
      @LeiosLabs  4 года назад

      ​@@notgeorge759 I am actually not sure how youtube fits into the whole ecosystem, exactly. I know it's great advertisement for everything else, but I don't know whether I want it to be a stand-alone thing.

  • @dabigamba
    @dabigamba 3 года назад

    Thanks! the accompanying website is awesome

  • @TheFeli73
    @TheFeli73 4 года назад +1

    fractal flames YES PLEASE!!!

    • @LeiosLabs
      @LeiosLabs  4 года назад +1

      I've already got the code for it, just need to write it up and make the vid.

  • @mossylikescake
    @mossylikescake 4 года назад +1

    it finally happened! you are a youtuber again!

    • @LeiosLabs
      @LeiosLabs  4 года назад

      It's been AGES since my last video. I have literally 10 just waiting to be made.

    • @mossylikescake
      @mossylikescake 4 года назад +1

      @@LeiosLabs 10 years worth of content! yes! btw, a friend of mine is using your video "what is an eigenvector?" to teach his undergraduate class in Spain. Do you get royalties from that?

    • @LeiosLabs
      @LeiosLabs  4 года назад

      @@mossylikescake No, unfortunately not. I don't get money from any videos made at OIST...

  • @makingpancakes5495
    @makingpancakes5495 4 года назад +1

    Leios video in quarantine, that's what I wanted!!

    • @LeiosLabs
      @LeiosLabs  4 года назад +1

      Are you making pancakes during quarantine? I hope so! Big fan of pancakes!

    • @makingpancakes5495
      @makingpancakes5495 4 года назад +1

      @@LeiosLabs You bet I am.. Even though supply is short

  • @duality4y
    @duality4y 4 года назад +2

    I need more

    • @LeiosLabs
      @LeiosLabs  4 года назад +1

      It will come more frequently than before!

    • @duality4y
      @duality4y 4 года назад +2

      @@LeiosLabs That is so nice! this just reminded me of how cellular automaton can also create these fractals and i love it :)

  • @gavin2391
    @gavin2391 4 года назад +1

    welcome back!!

    • @LeiosLabs
      @LeiosLabs  4 года назад

      Thanks! Making youtube a priority again!

  • @ThePharphis
    @ThePharphis 4 года назад +1

    The function approach is super intuitive. Thanks

    • @LeiosLabs
      @LeiosLabs  4 года назад +1

      Right? Chaos games are too random. Once you realize it's just a function system that attracts points towards a shape, it's way easier to follow!

  • @realcygnus
    @realcygnus 4 года назад +1

    Cool

  • @samboren8968
    @samboren8968 4 года назад +1

    Wonderful! You are back!

    • @LeiosLabs
      @LeiosLabs  4 года назад

      Yeah. I am making youtube a priority again.

  • @aqua4857
    @aqua4857 4 года назад +1

    looking forward to more content :)

    • @LeiosLabs
      @LeiosLabs  4 года назад

      Looking forward to future comments!

  • @quebono100
    @quebono100 4 года назад +1

    Love it, thank you so much =)

    • @LeiosLabs
      @LeiosLabs  4 года назад +1

      No problem! Thanks for watching!

  • @MINECRAFTLOVER4000
    @MINECRAFTLOVER4000 4 года назад

    2020 is worstsort :(

  • @poweredbysergey
    @poweredbysergey 4 года назад

    Cool!