The Art of John Edmark | Talk by Paul Dancstep | Exploratorium

[@rowkayzg]

As someone who failed Algebra 1 three times and to this day cannot figure out the tip on a lunch check, this was the most mesmerizing, brilliant explanation of a basic mathematical principle I have ever seen. Oh, how I wish I could "do" math! And what a terrifically enthusiastic, awe-inspiring talk! Thank you!

[@SIMKINETICS]

I too had difficulty with Algebra (and still do), yet managed to become a Mechanical Engineer. Yet, I easily understand anything geometric and breezed through Calculus and other maths. This was a mystery to me until it became clear than I'm dyslexic, a fact confirmed by a neighbor who happened to be the Director of the Dept of Neurology at Stanford University after we had an exchange with several weird questions I answered; he told me that dyslexic people make the best Mechanical Engineers! I believe the theory about evolution 'side-stepping' common adaptation for using symbols to convey logic that allowed a genetic legacy for some people to think differently and have difficulty with the abstractions of symbols like letters and words on paper, i.e., being dyslexic. I suggest you look into that for your own difficulty, noting that you were fascinated by this video.

[@JulieWallis1963]

Just goes to show, it really *is* all down to the teacher.

[@whiskeymonk4085]

Yup. Failed pre algebra three times and then dropped out of 10th grade. Took a bunch of pure LSD and discovered that absolutely *EVERYTHING* is "spirally". A must read: The Curves Of Life by Theodore Andrea Cook. Its a real gem guys. You should get a copy and pass it on to the next generation. Good luck finding one.

[@whiskeymonk4085]

@@SIMKINETICS Absolutely fantastic story! Im just about certain im dyslexic. Yet I build houses. All the way from concrete to fine finish trim. Math has never been my strong suit and I blame a bit of it on the system of educating our youth. If a student cant pass pre-algebra he ist allowed the privilege to learn the higher courses. Doesnt seem right. I would have absolutely crushed a geometry course. Thanks for sharing man.

[@latitzouri]

The true failure is when you stop trying ;) Math is hard, it's no biggie

[@iMoo1124]

What an absolutely beautiful video! Those animations were legitimately the best I've seen when it comes to informational talks; they were so smooth, and each elaborated further than they needed to to cement each idea. I really loved the lazy susan bit especially, how it rewound past the starting point, like it had a slight inertia.

[@dxpert]

Wow - What an amazing talk and what fantastic art. Thank you for sharing.

[@There.Their.Theyre]

I'm giving this video presentation a standing ovation! This was visually stunning, beautiful, and engaging. Thank you!

[@neesr13]

One of the best presentations I have ever been honored to witness. I only wish I had been there in person to praise the presenter and the artist, both of whom are outstanding in their respective fields.

[@mailmemo]

Great talk. And your explanatory visuals were great too.

[@rictolentino4958]

this isnt related to my field at all as a chem phd but i love the way this dude builds up on concepts when hes explaining -- i really wanna emulate his style of presenting

[@ASHA-jk2pf]

DANCING 💃🕺🧬 These Make Me SO Happy!😁🙌💟💚💕

[@jerryyager2601]

Just had one of those very rare "wow" moments. Need to see more of this!!!

[@salvadorsanchez5057]

this is all equally fascinating as it is inspiring. i just fell in love with phyllotactic spyrals. math and art and nature coming together

[@alocin110]

Simply Amazing and Mesmerizing! Thanks for sharing.

[@nitinb9202]

Understanding or learning at childhood and becoming in awe in sixties is life. Thanks KZbin AI.

[@jxschv1316]

I just couldn't stop watching this video until it ended.

[@dietermarx5277]

As a math teacher, I say thank you. Live long and prosper.

[@92Pyromaniac]

What an inspiring talk! This is the sort of knowledge that I absolutely adore - beautiful and worthy just to behold, but with the potential to become useful in unexpected ways.

[@BlackLizrd]

Gorgeously beautiful designs, well presented in both image and word.

[@Totallyfine29_]

John Edmark is such an inspiring artist , working with nature ,math ,and art is just genius , they all elaborate on each other + I have never thought a microwave would lead to creating cool patterns

[@VestigialHead]

Love this. Thanks for posting it. Just awesome models of some of the complex beauty nature evolves into.

[@Robot007]

A M A Z I N G!!! Thank you for sharing one of the God's secret of creating nature. Blessings.

What a great presentation. No superfluous talk and great visualizations. This guy should teach how to make presentations and talks. Kudos.

[@chrissie1057]

thanks... really interesting to have this explained properly.

[@tocodelray]

Incredibly beautiful!

[@Miastrong930]

Amazingly beautiful. Math is in everything. Math, music and art. We must not forget nature. I perceive patterns in everything.

[@1BelovedOne]

THAT, - was absolutely phenomenal!!! THANK YOU!!!

[@kitewinds663]

Nice, very nice. Thanks for sharing.

[@gyur6]

beautiful and witty, every frame is a piece of art

[@dudemanperson100]

8/5 stars for this one!!! Just finishing my first Abstract Algebra class, and this video just brings about so many thoughts relating to the topics we've covered this semester. ❤️♾️

[@dbrown8367]

Good to know that curiosity is still leading to amazing discoveries provided you know how to look.

[@kimsobota1324]

In visual, as well as audio, there are resonant patterns or tones as it were, where the origin pattern passes one of those patterns you described as a "Checkered pattern", back at 5:12 mins into the video. I believe what the eye is perceiving here is the resonant visual frequency of the overall 3D object. It is quite amazing.

[@Amr-Ibrahim-AI]

I love this connection indeed. Very well said, and inspires me to look more into this analogy

[@quinxx12]

That is an incredibly interesting way to think about it!

[@MottiShneor]

Wonderful, Wonderful movie. Although the "blooming" animations make me dizzy and a little sick, the magic and beauty together with those little math secrets hiding in every such pattern - are worth a million looks (and likes) One of the best "math" videos I've seen a long time Thanks

[@kurtilein3]

Seems like tiny imperfections sort of strobe around and do more damage than expected, and the 3D printing process is a bit grainy and comes with tiny imperfections. Different manufacturing processes or a better, more polished finish could resolve it. I think making it more precise and more smooth could help a lot.

[@piratebasil]

Absolutely fascinating !

[@Lou.B]

Super cool and amazing!!!

[@tobberh]

Really cool and very fascinating presentation!!! But was actually surprised he didn't touch on the fact that the 137.5 degrees rotation is the same as the golden angle which is derived from the golden ratio.

[@214000451]

This video should go spiral!

[@mohammedabbas1175]

24:07 This must be the millionth time I rewatched it. So visually and acoustically pleasing.

[@Amr-Ibrahim-AI]

This is mind blowing! Thank you so much for this great talk

[@fugyamofug]

19:02 That is amazing What a payoff of a whole lot of thought and a eureka moment

[@tinybadastronaut]

Damnit. As someone who has gone through many phases of being enamored with the fibonacci spirals and how they relate to nature, this just gave me a whole new invigoration in that fascination.

[@KayWoods64]

Fascinating. Thank you.

[@rgarlinyc]

Another reason - as if any more was needed - to absolutely be entranced by math. Amazing, amazing, amazing. But I repeat myself.👏🏻👏🏻👏🏻

[@richarddeese1991]

Thanks. That's astounding and beautiful, with deep insights into the nature of life. tavi.

[@mettattem]

12:06 - Imagine applying this design to the construction of future residential skyscrapers; The 'Stair-Stepping' elements that appear with each 137.5 ° angular change (of floor) could be a series of indoor/outdoor organic garden terraces. In other words, when the structure is in 'Tower Mode', the gardens would be inside the structure and angled slightly (for efficient irrigation,like in vertical farming). I could see it as being something akin to an ultra-modern and efficient transforming indoor/outdoor terraced transformer of a building)... The future is going to be beautiful.

[@hareecionelson5875]

There's plans for another Skyscraper in Dubai that will be taller than the BUurj khalifa and will have a step-like design with 3 spokes and over hanging gardens

[@whiskeymonk4085]

Not if socialists have anything to say about it.

[@michaelleue7594]

@@whiskeymonk4085 Socialists don't build skyscrapers? I think China didn't get the memo.

[@whiskeymonk4085]

@@michaelleue7594 Yeah..... China is a shining example. Do you know about their "ghost cities" and their "tofu concrete"? Look it up bud. Socialism is cancer. Always has been, always will be now matter how you cut it and stack it. China didn't just get the memo, it got the whole encyclopedia on how to run a country perfectly wrong. North Korea loaned them a copy.

[@whiskeymonk4085]

Gotta love yooooootoooobe's new shadow banning practices. I can only see half of the comments, *AND(!)* I can't engage in discourse with people on this thread simply because I don't care for socialism. What a joke! This used to be a platform that encouraged humanity. It's a dried out husk of what it once was. I'm on my 15th account now for just talking as I would with a stranger at the bar.

[@charlesnelson5187]

Excellent presentation.

[@greenatom]

The configuration of lazy susans at 17:00 can be used to trisect an angle. I wonder if this can be translated to two dimensions so that this could be done using only a compass and straightedge, long held to be impossible?

[@PatricioOta]

Brillante y hermoso! Muchas gracias por compartirlo

[@johningram2153]

I'm confused about 11:12. This appears to be a demonstration of an addition of AREA to the shape (by adding the new piece) and then rotating it backwards to reveal that the area is the same was it was before the addition. That's not possible. What am I missing?

[@johningram2153]

Oh, I think John Edmark answered my question in another video. It’s not the same area, because it’s bigger. But if you rotate it backwards 137.5 degrees, AND scale it down slightly, it’s exactly the same shape.

[@TravisRichey]

I can't handle how interesting this is :-) I want to see in person! But thanks for posting this presentation! ~Trav

[@augenbutter]

I'll never look at my microwave the same way. Grateful for minds, the likes, of John Edmark and Paul Dancstep.

[@davidspivak8343]

So beautiful!

[@damianriley990]

This is how i think the real shape of the fabric of the universe(s) works, but in every direction possible at the same time 🖤

[@DenyIzquierdo]

Genial, observar la creación como un niño curioso, es dar con el mejor maestro hacedor de maravillas. Sus criaturas se asombran de su creador. Es sorprendente y curativo

[@jamesb2059]

Great talk. Thank you.

[@charlestaylor3195]

Absolutely fascinating.

[@mattcole6292]

Awesome and inspiring

[@Gunbudder]

simply putting things between other things ends up giving you some incredible patterns. the spirals and patterns you see in nature come from new cells just going to where there is the most space. some times you do see plants that create perfect 90 degree symmetry though, with 4 leaves that are evenly spaced around the stalk. generally this only happens when the stock is extremely long such that the leaves can't cast shadows on the ones below them

[@Polygonlin]

19:07 That thing is beautiful in a mathematical, pattern sort of way

[@crabby7668]

The trans tower mechanism is also a technique of mechanical analogue computers. There are some good ex US forces training videos on YT which explain these methods

[@AlexTrusk91]

imagine going into architekture with these insights

[@leozendo3500]

Beautiful talk.

[@scottmacri2549]

How can I recreate this in a CAD program? I've done a lot of searching, but not finding good results (most is about golden rectangle). It looks like they all use 137.5 (I was able to use phi, inverse it, multiply by 2pi and subtract from 2pi to get the ~137.5), but I am especially interested in making a checkered (13:21) in either Autocad or rhino/grasshopper. Once rotated what do I scale by? Should I rotate the tile (if so, how do I make the tile, and place it based on it's size), or should I rotate the points, then connect them the make the tile? I'm good at traditional origami, but I find fractals difficult. Any help or links to other resources would be helpful. Thanks in advance!

[@Amr-Ibrahim-AI]

Hey Scott. While watching this great talk, I started asking myself similar questions. I will explore more. If you have reached any conclusions that you can share, I appreciate sharing them to same me some time. I intend to draw them on GeoGebra. It has both 2D and 3D drawing capabilities.

[@scottmacri2549]

@@Amr-Ibrahim-AI I got Rhino up and running again (as you can see my comment was some time ago). I am reviewing my work from that time, and I think I got a little farther from when I posted this. I was indeed able to make a 13 : 21 spiral, although I will need to re-remember how I did it, lol. Please email me at [e-mail]

[@Q5Grafx]

@@scottmacri2549 im going to try it in lightwave 3d i got the 137.5 easy enough but what would the size increase ratio from iteration to iteration be. lets say first piece 1 inch on a side what would that measurement be for piece 2 at 137.5 degrees away. not being a mathematician i still assume it would be a constant ratio . in lightwave there are ways to fake it with only making 1 piece using instances with a spline curve path and varying size attributes so if you do a tesseract the inside would obviously be the smallest and the outer ring would be the largest. but id rather be able to try this naturally im sure i could write a script to insert the sequence numbers to autogenerate. but even manually in Lightwave it wouldnt be too hard as the variables are all right there to insert.

[@scottmacri2549]

@@Q5Grafx Here is what I did: ibb.co/pykkBsv I think even if you haven't used grasshopper, you should be able to tell what is going on. For a long time I got stuck when I thought about it in terms of copying quadrilaterals. But when I just rotated a point by 137.5, and move it in slightly by some scalar (like you said), then that ratio will continue all the way around. Eventually, the points will spin around until I have a grouping of 4 close enough to make my first quadrilateral. In this case, 33 iterations. The amount I moved it in didn't really have any magic. I found 0.01 to work. So each rotation, my point gets 1% closer. After 33 passes, the fourth point of my quadrilateral is a good distance away to make something somewhat square like. You can tweak this number too; if you increase to 1.2% or 1.5%, your spiral will get steeper. Go too steep, and your brains ability to recognize spirals within dots will shift from a 13:21 to something lower. Decrease it too much, and the spirals will get shallower, making it higher than a 13:21. Did all that make sense? These are just my findings so far and I am not a mathematician either, so, I may not be explaining well. LMK if you have any questions.

[@AIMLESS-NAMELESS]

I have no fucking idea but godspeed man

[@kjamison5951]

We find beauty in all things organic. When we play around with organic things, we find more beauty.

[@Ejeby]

5:10 phyllotactic spiral can only be checkered if both spirals are odd 7:00 chromataxis 10:00 helicone 13:50 lazy susan

[@crazysinister7882]

I’m not a scientist, I’ve never been good in science. I started this video not expecting to understand what’s going on but man you did a great job.

[@lucasboisneau4256]

super talk, I'm just surprised that you didn't talk about the golden number (1+V5/2)...

[@CUBETechie]

0:47 can it be also used to Form a city based on this Look and what would be the benefits?

[@TakManSan]

15:26 Engineered to being your cup or vessel back in its original orientation if synched up with typical 1-minute increments.

[@RandomPsychic]

I've tried the deep sleep meditation videos.....this one works the BEST! Thanks man.😀

[@starcoreart]

bruh

[@patriciarogers4076]

I love Spirograph too!

[@benclancy89]

absolutely brilliant video. Only gripe, I feel there must be an obvious connection between the patterns shown in transtower and the patterns we get with pendulums of increasing length. When the cutouts line up with a specific number of other cutouts each time, it reminds me of the balls of a pendulum lining up in the same way, anyone see the connection?

[@tiltil9442]

interference patterns

[@blumousey]

This is amazing, these patterns are related to phi, the golden ratio - and how it is the irrational number that is the least able to be approximated by a fraction of rational numbers. It's the most efficient way to stack things around a point - as if it used a rational angle, things would meet up in cycles and inefficiently stack, and if it used an irrational number that was well approximated, eg pi being close to 22/7, it would *almost* meet and nearly clash. Numberphile has a great video on this.

[@Radugazon]

Very beautiful ! BTW, I think the lazy suzan thing refers to the Aristotle paradox.

[@PeterVJaspersFayer]

No, thank *you*. A beautiful, entertaining, and instructive video.

[@williamt5837]

Amazing DESIGNS😉

[@0cheeseburga]

fantastic presentation

[@bentsprockettech]

🤯 Amazing! No words.

[@AurelienCarnoy]

The angle is from where the cell divides?

[@gonzalomorenoandonaegui2052]

Hi I'm a industrial designer and I'm very interested in John Edmark's work and nature's geometry patterns, and parametric arquitecture, I saw in a video that he modeled the blooms in rhinoceros, so I want to know if you know what plugin of grasshopper he occupy for do this ?, thank you

[@johnedmark3955]

I don't use Grasshopper, just Python scripting language for Rhino.

[@E-Kat]

@@johnedmark3955 hi, did you use a laser cutter to make your breathtaking pieces? And maybe a 3 D laser cutter as well? I'm totally mesmerized and if I could, I'd spend my remaining life doing what you do. Not going to get any sleep tonight. You're the best!

[@johnedmark3955]

@@E-Kat Thank you for your kind words about my work. I use a standard 2D laser cutter. I've never heard of a 3D laser cutter. I use a 3D printer for the blooms.

[@E-Kat]

@@johnedmark3955 oh, I'm so sorry, I meant to say 3D laser printer! Your work is so time consuming but I know you don't mind that. Working out the sizes of the pieces and programming them to the laser cutter is such an incredibly skilled task. You're so brilliant ! I keep watching your work again and again and don't need to see anything more in my life. Sorry to take you away from your work to answer my questions. Thank you so much! Best wishes.

[@vincenzomartorana2625]

Astounding Beauty and comprehension

[@prashantnair96]

The double pine cone looking thing when spun freely transforms into the typically known shape of DNA. and each piece of the jigsaw is same in shape and just the size increases. Gives a deep insight about the pattern in human evolution (physically and spiritually) With each new generation a new piece is added that's the same in shape but it expands the overall picture

[@kellyhofer]

I wonder what the actual angle is on dna?

[@Crazeyfor67]

That was awesome.

[@bfayer]

this was really fascinating, thanks for sharing

[@110110pab]

fascinating lecture, I thought I understood Fibonacci patterns but as always, the more you learn the more you realize how little you know. Great Talk Thank you.

[@adambane1719]

Yes, especially scientists.... they actually "know" the least !

[@awade4232]

Beautiful presentation. Also, the ratio of neighboring Fibonacci numbers approximates the Golden Ratio; a pattern seen throughout nature. For example, 21/13 ~ 1.62, the Golden Ratio.

[@PlomoorPlata]

Excellent 👌

[@tedbuck1094]

blowing vesels in my brain already love this stuff brother

[@mathyeti]

The David Mumford you quote - is that David Bryant Mumford (born 11 June 1937)?

[@tiltil9442]

The Google that I'm recommending - it is the Google search engine, accessible via the very device you're holding.

[@trishiamatthews2919]

What a great design for a space ship

[@Pystro]

7:58 that has to be the best jigsaw puzzle ever (in some sense of "best"). You can have it be a single solid color, and still it would be possible to solve it, merely by sorting the pieces by size.

[@williamlangley1610]

I'd like to see what causes Fibbonachi...what are the proteins doubg?

[@3263927]

wow! wow... don't even understand how to find correct words!!! so great! going to check my favorite pine cone...

[@gizzykatkat9687]

This talk was so interesting.

[@notachad4107]

Anyone know if and what 3D modeling program they used for the blooms?

[@johnedmark3955]

They are mostly created in code using Python scripting language and then displayed and tweaked in Rhino

[@SahilKashyap64]

wow, john is dope, you too paul.

[@Fine_Mouche]

I love the fact that mathematicians change the rules so that their idea continues to work.

[@jimwilliams3517]

Finally, people who think in a similarity to me! It's almost like coming home.

[@danielwhite4052]

fascinating, thanks.

[@Hyraethian]

TIL I learned that if a you cross a mathematician with an engineer and they're inclined to make art, at some point you get an artichoke in a lathe.

[@1NEFFIBLE]

Time differences in three dimensions, 😎 cool

[@ltandrepants]

fantastic!

[@pprehn5268]

Escher, the Dutch artist played with these ideas