There was someone's comment here with a code that worked in the browser, but it was deleted by KZread (KZread didn't even send the link to verify it!) editor.p5js.org/drawliphant/sketches/lrlHI7jd_ Thanks to David Oliphant for implementation!

@minnarew

2 жыл бұрын

you called a cardioid Pascal's snail????????????? what?

@TheBadassAssassin

2 жыл бұрын

@@minnarew pascal's snail is the more accurate term here. It just so happens that a cardioid is a special case and that's the one he showed in the video.

@Drawliphant

2 жыл бұрын

Thanks for the shoutout! feel free to edit the values yourself for all those variables at the top of the code, and try out different ratios!

@IanMott

2 жыл бұрын

@@Drawliphant Well done!

@olipolygon

2 жыл бұрын

@@TheBadassAssassin well now im upset that cardioid microphones arent called snail microphones instead

"Mathematics is the perfect tool for solving problems you've created for yourself." I've never felt so attacked by something I 100% agree with x)

@DavidLindes

2 жыл бұрын

hahahaha, indeed. :)

Absolutely incredible graphics

@bruhrespecct1967

2 жыл бұрын

Woah! I didn’t expect you here!

@sortofschool

2 жыл бұрын

Omg, Big Cactus himself! Thanks mate, i'm really like your videos.

@Geosquare8128

2 жыл бұрын

@@sortofschool thanks! you should really make some more love the style

@leif1075

2 жыл бұрын

@@sortofschool Thanks but how did you spend a whole summer? Didnt you get bored and frustrated after a day or so?

@user-lh5hl4sv8z

2 жыл бұрын

dream = cring

I recently bought one of these toys because it felt like there would be something to them. I love that you got so into it and documented your discoveries. Your enthusiasm makes me want to try work some things out too now! Thank you for making this :)

@sortofschool

2 жыл бұрын

Glad to hear it! If you interested in the topic, i recommend to check out Joe Freedman's Amazing Cycloid Drawing Machine on KZread. It's a mechanical representation of how this spirals could be drawn.

So the key to Dr. Strange's magic is math...

I have no idea where KZread is hiding you, but this was absolutely fascinating

"Once you start doing impossible things, it's hard to stop." Love this!!

It’s cool being able to get to a channel and be able to claim you’ve been there before it blows up.

Please make this open source. Or even payed software. I would love to play with this. It seems like endless fun, and I'm sure I'm not alone.

@sortofschool

2 жыл бұрын

Will do! I'll post the link in community page as soon as i comment the code and make it less messy 😉. One thing, i don't think that it'll be as beautiful as in video, because final animations was rendered in After effects and it was NOT a real time render due to lot of post processing.

@spiralofinspiration3653

2 жыл бұрын

@@sortofschool Aaah, okay :) We shall see. It will be fun either way. Thank you, keep up the good work

@manamsetty2664

2 жыл бұрын

kzread.info/dash/bejne/lKWG2K6LY7OylpM.html This video can help

@sortofschool

2 жыл бұрын

@@spiralofinspiration3653 Done! github.com/sokolov-teach/spirograph

@gasun1274

2 жыл бұрын

@@sortofschool gbu

you should have submitted this to the 3blue1brown competition if you didnt, amazing video... very beautiful... took it even further than i imagined

Take a moment to acknowledge the incredible editing, music and script of this video. Never thought a video about spirals would evoke such emotion.

I don't think there's a better video about spirographs out there. This deserve more views.

The Spirograph I remember as a kid had pins that you would use to pin the fixed wheel down to a piece of corrugated cardboard. That allowed more creativity and flexibility than later jigs, since I could pin down parts in ways the makers did not plan for.

@comic4relief

2 жыл бұрын

It was a brilliant toy.

this was beautiful, it made me more emotional than most movies

Damn this video is crazy good even though it wasn't made by a big channel. Subscribed!

okay - THIS is the reason i'm excited for the future. I know that's a big thing to say, but i just think about all the people who can learn about literally anything they want/dream about in the palm of your hand. It just makes me happy, having found your amazing video and thinking about my younger self, and how much my life may be different if i was exposed to all the world's information so young... if that makes any sense at all? Probably not hah

The constraint on the second and the third circle reminds me of when we are calculating the equation of motion of the end point of a double pendulum, which is a nightmare

I'm quite a bit older than you, and my childhood spirograph was much more elaborate, and DID let you put the drawing wheel outside the ring!

we are not nerds anymore, now we are real grown scientists. Thank you for being you!

Dude, the aesthetic in this video is INCREDIBLE :o props to you, that is some incredible work !

“Mathematics is the perfect tool for problems you’ve created for yourself”

I wonder how this relates to fourier transform and how you can make pretty pictures with circles spinning at suitable frequencies. Are these the same thing? Or can this be a kind of generalisation of that?

@kupariseppo7566

2 жыл бұрын

This is actually a special case of a simple Fourier series function. If you draw a function in the complex plane that is of the form z(t)=(1+1/k)*exp(i*2pi*t)+1/k*exp(i*2pi*2*k*t), you get the epitrochoid two circle trace with parameter k. You would get the three-circle trace by accounting for a third term in the series sum.

@Roxor128

2 жыл бұрын

I think they're the same, and this is just a bandlimited version that cuts off after two or three terms.

@Isimsiz-cs4ik

10 ай бұрын

​@@kupariseppo7566hi

@pauselab5569

3 ай бұрын

It’s a special kind of Fourier series.

I think I found a real cool set of numbers using your tool. It is a decagon with a lot of interesting features. A hollow rectangular shape in the center, and "angled" lines internally. It makes me think I'm looking at a 3D object. Probably can't share a link on KZread, so if someone wants to see I'll write down the numbers.

@quantumexplorerz

2 жыл бұрын

Please do it sir, we would love to see😄

Красавчик!

@gasun1274

2 жыл бұрын

i am in strong agreement 🤭

I like the progression from toys to math

never saw an spirocraph that is so fucking cool!

I have spent a lot of time doing similar maths but never implemented it in such a pretty way. Thank you for this. The reason I was investigating this was to understand why you get a straight line when the rolling circle is half the radius of the larger circle. Keep up the amazing work

@AlanJGreenUK

Жыл бұрын

The ratio of the radii is 2/1 so that the number of nodes is 2 (the two ends of the line). If you move the pen position inside the rolling circle you get an elipse with the limit of a circle when the pen at the centre of the rolling circle.

Naruto Sharingan Artists: write that down, write that down!!!

Math has been around. Math is and will be everywhere, waiting to be discovered.

I just stumbled across a spiralgraph and am fascinated with the math. I hope to Start learning and understanding soon

Thanks a lot. A beautiful mathematic journey starting with a spirograph, something so magic,

Subbed. Keep it up

5 minutes in, with the addition of the second circle, I immediately started to think about Fourier transformation shenannigans :p

great job, evolution over time describes the manifold

One think I remember learning as a kid when using the Spirograph that led to some interesting insight into the geometry and mathematics, is that some shapes have a peculiar difficulty in drawing them: The gear would naturally pull away from the edge of the ring, spoiling the shape. When reaching the critical point in the curve, I would have to carefully turn the wheel with a finger and keep it pushed against the edge, rather than letting the force of the pen do it. Basically, the force of the pen near the center of the gear would point nearly directly away from the outer ring; the force of the pen matches the direction of the line at that point.

@devitus781

2 жыл бұрын

Lmao tf

mesmerizing, i dont even know what happened, felt like a ' through the looking glass ' experience for me, well done!!!

Beautiful trefoil knot at 9:21!

Truly a video showcasing the beauty of not only the spirals but mathematics, the true heart of what describes them

This thing needs more views

Good job! You might want to look on the Wild Gears drawing tools. It’s more flexible yet complicated than a Spirograph.

It's great I don't understand why you are so underrated

We used to play with these in the 80's... they were made of different colored clear plastic and they came in a ton of sizes. We played with them ALL the time! Thank you for bringing my childhood drawings to life. 🙏🥳

I loved my Spirograph as a kid and was recently surprised to find a Spirograph phone app

This is absolutely incredible, thank you for making this

this is some truly beautiful work

Awesome job, man. Congrats!

Awesome work!

Wow! Beautiful! Thank you for bringing this to us.

Such a good video, nice work!

Stunning !

This is amazing please do more stuff! I always loved those Spirograph toys, they were awesome!

this video was very well made - great work!!

Wow, this video is absolutely visually stunning! Love your choice of music, great work.

Absolutely amazing bro

This is a phenomenal video!

Thank you so much for making this. This is amazingly put together and the best video I have seen so far made for this challenge! Please make more videos!!!

This is such a well made video. Really a lot of talent went into every aspect.

This one was simply stunning... Loved it

Glorious... Thank you

I really enjoyed this video, you are amazing!

These graphics are incredible, and the beautiful, smoothly morphing spirals even more so! Awesome work

Stunning video, hope to see more!!

This is a great video! Thank you for this, I might try this out to discover even more beauty in the world of spirals!

what a beautiful video... really amazing - you're a talent.

Beautiful!

wonderful work! please keep posting !

The format was really nice, good work!

Really cool work! Thank you, this definitely raised my interest!

This is probably one of my favourite entries! Holy... This is mindblowing and super fascinating!

Wow! This video was really well made. Super interesting. Thanks for sharing with us all :D

Rly nice content bruh, subbed instantly

Very cool and informational!

Loved the way you took us on the same journey of discovery you took yourself! Nice video

Both interseting and very beautifull stuff there. I love the esthetic of the vidéo !

Amazing work dude! Part 2 is a must

Simply fantastic. Great job. Would love to see more.

this is beautiful

Amazing! I was recommended this a year later. Please continue your adventures with Math!

Fantastic video!

Amazing and interesting video😍😍😍 Keep making these videos👍👍👍 Full sumpport 😁😁😁

reallly nice video; got me in the mood of coding some spirograph like stuff myself hoping to see more stuff from you !

The actual Spirograph toy is somewhat different from that (home made?) laser cut toy you showed It does both hypo- and epi- trocoids. The full set has two fixed rings of different sizes, a flat bar, _many_ more drawing gears, and a few odd shapes including a triangle with rounded edges and a cross shape with teeth only on the extreme edges, and a pointy American Football shape. The "fixed" rings have pen holes as well so you could reverse the process and use them as drawing gears too, though the regular drawing gears have pen holes but not _pin_ holes, they could be fixed in place if you put the pins along the edge of the (too large) pen holes and used several of them. The transparent plastic allows you to see what you are drawing. There are _many_ more pen holes, arranged in a spiral so they are separated from each other even though close to the same radius. This allows fine tuning of the drawing's size.

@Weretyu7777

2 жыл бұрын

Mine was more like his, a rectangular frame which had an elliptical hole in the center lined with teeth and gears with holes in them. There was an insert that fit into the large hole and had two smaller holes(one was another ellipse and the other was a circle).

well produced, and most importantly well researched

Very good job. Thank you

Gorgeous

don't know how you preformed at the SoME1 but this video is my personal favourite.

Brilliant. Please make more videos.

Amazing video!

Very good explanation. Thank you ❤

Amazing video this could explain so much about the movement of atoms

I programmed these kinds of spirals long ago, nice to be reminded of my early endeavors so many years later :) The fish shape is also a fond memory for me, haha.

Excited to think about it and take a look thanks you! First time here! subscribed!

Thank you. This was really interesting to see

This is amazing!!

Well done!

It's very beautiful

Epicycloids are fascinating... I also spent a summer playing with them and wrote a small drawing application (and an article on medium) but I added some randomness into the mix, like: the direction and speed of the rotation and the number of circles to see what I get. I have to say I prefer your visuals here - they better describe how each factor controls the overall shape. Awesome job!

Loved it!

Wonderful video!

Beautiful fuorier series