T * sin (t)' ≈ Ornamented Christmas Tree (2013)

(community.wolfram.com)

344 points | by ryeguy_24 17 hours ago ago

38 comments

  • ryeguy_24 17 hours ago ago

    Merry Christmas HN. Ever year, the original T * sin(t) Christmas tree gets posted. This year, I wanted to call out my favorite modification by Silvia Hao. It’s beautiful. One year, I’ll try to add to its beauty. But for now, I’ll just appreciate it. She posted it here: https://community.wolfram.com/groups/-/m/t/175891

    • JadeNB 3 hours ago ago

      I checked the post, but it's from someone who's far more comfortable with Mathematica than I am, so I hope you won't mind my asking about the maths.

      First, the T vs. t in T * sin(t) doesn't mean anything, right? Second, the ' in the title T * sin(t)' doesn't belong, right?

      Then I think that this is graphing essentially (t * sin(t), t * cos(t), t + something), which is a cone if the something is constant, which I believe it is—and that certainly matches the graph. And the rest is about choosing an aesthetically pleasing step size and accomplishing the lovely twinkling and colors, right?

      • ryeguy_24 29 minutes ago ago

        I added the prime in the title to indicate that this version is a bit different from the original t * sin(t) post.

        • JadeNB 6 minutes ago ago

          OK, thanks. Is the rest of it right?

    • Arnavion 12 hours ago ago

      Silvia Hao's version is the one submitted here to HN, actually.

      • dylan604 9 hours ago ago

        Someone was too excited about Santa to actually you know click the link

        • frogulis 9 hours ago ago

          The GP commenter (ryeguy_24) is the original poster of this article, leaving additional information about what they posted.

        • acer4666 8 hours ago ago

          Some was too excited about Santa to, you know, read the usernames of the submitter and commenter

          • TheSpiceIsLife 7 hours ago ago

            Some kind of Pareto Principle: 80% of people read 20% of the usernames.

            • deskr 4 hours ago ago

              Wrong. It says that 20% of people will argue with you and be confident that they are right even though they are more wrong.

              • TheSpiceIsLife an hour ago ago

                100% of the people I live with will argue with me 20% of the time and be wrong 80% of those times.

              • romanobro56 4 hours ago ago

                Pareto victim right here

                • JadeNB 3 hours ago ago

                  > Pareto victim right here

                  I'm pretty sure deskr was making a joke.

  • jll29 7 hours ago ago

    That's a beautiful animation (and useful maths ;-).

    In the spirit of minimalism, Merry Christmas to all HNers with this little but time-tested command:

      $ xmastree 5 9 2024`
                                    *
                                   ***
                                  *****
                                 *******
                                    *
                                   ***
                                  *****
                                 *******
                                    *
                                   ***
                                  *****
                                 *******
                                    *
                                   ***
                                  *****
                                 *******
                                   ***                              
                                   ***                              
                                   ***                              
                                   *** 
    
    Source: https://github.com/jochenleidner/ltools/blob/main/src/bin/xm...
  • Lerc 8 hours ago ago

    I made this Bauble dweet as a Christmas themed exercise in 2020 https://www.dwitter.net/d/20993

        function u(t) { 
            t||(c.width/=6)  // shrink canvas to 1/6 at t==0
            M=a=>x.filter=a?"none":"blur(1px)brightness(90%"
            M();x.drawImage(c,0,0)
            for(i=n=90;--i;)
              x.fillRect(
               160-S(X=i+t*4)*(1-(v=C(i*n))*v)*n,
               v*n+n,
               4,
               2,
               x.fillStyle="#F"+(i+10),M(C(X)<0))    
        }
    
    
    with u(t) is called 60 times per second. t: elapsed time in seconds. c: A 1920x1080 canvas. x: A 2D context for that canvas. S: Math.sin C: Math.cos
  • foobar1962 7 hours ago ago

    My first time seeing it. Thanks for posting, and thanks to HN for being the kind of place that stuff like this gets posted.

  • belter 4 hours ago ago

    Happy Festive Season! A nice one from Desmos: https://www.desmos.com/calculator/wgunyn2yd0

  • bazzargh 4 hours ago ago

    Here's one I did for the bbcmicrobot using a Chaos Game approach

    https://bbcmic.ro/?t=8W1n6

  • theodpHN 10 hours ago ago
  • leeoniya 14 hours ago ago
  • noduerme 7 hours ago ago

    I went to Hopscotch in Portland with some friends tonight, tried out the "quantum trampoline" [0]... spent most of my time in socks wondering if that was written in plain ol' javascript or p5. Happy Holidays, folks.

    [0] https://www.behance.net/kuflex?locale=en_US#

  • theodpHN 10 hours ago ago

    A 'Traveling Santa Tour' Through U.S. Capital Cities https://communities.sas.com/t5/New-SAS-User/Fun-With-SAS-ODS...

  • theodpHN 10 hours ago ago
  • Alifatisk 7 hours ago ago

    I think this would be perfect on openprocessing.org, I just don't know how to implement that.

  • BobbyTables2 13 hours ago ago

    Now make 30% of the bulbs randomly burn out :)

    • hippich 13 hours ago ago

      Randomly wouldn't be that bad. But whole segments - way more noticable!

      • nuodag 7 hours ago ago

        usually a bunch of lights are wired in series, if one burns out all stay dark.

        Find and replace the broken one, and all light again!

  • layer8 15 hours ago ago

    Or a drill.

    • block_dagger 14 hours ago ago

      This is not a drill. It really is Christmas.

      • layer8 13 hours ago ago

        The function is neither a drill nor a Christmas tree, but similar to how it happens to look (≈) like a Christmas tree, it also happens to look like a drill. This is what I wanted to point out. It’s a multipurpose function.

        • Uncorrelated 12 hours ago ago

          block_dagger was making a pun based on the sense of drill as a training exercise. A similar joke went over the heads of nearly everyone on a recent episode of Taskmaster:

          https://www.youtube.com/watch?v=6PJkA3o_Im0

          • noduerme 7 hours ago ago

            English being the global language makes it easier to get a lift, but much harder for anyone to pick you up.

        • DrSAR 13 hours ago ago

          It is also not a pipe

          • arcticbull 11 hours ago ago

            Cici n'est pas un arbre de Noël tabarnak

            • bjconlan 7 hours ago ago

              Haha, oh I miss the Quebecois. Appropriation of Catholic vernacular make for the best profanities.

      • corobo 9 hours ago ago

        I wish I had more to add, but I do not. This proper tickled me, thank you. lmao