@Hannah_Em
I adore catenary curves (and catenoid and also hyperboloid) surfaces in architecture/engineering, there's something deeply elegant about them which speaks to me. Some of my favourite minecraft structures that I've built over the years used catenary (cosh) curves, or catenoid and hyperboloid surfaces (typically not done by hand; with tools like e.g. the worldedit plugin, you can generate shapes based on a mathematical formula you give it), but I had no idea about the real-world architectural history of how these shapes were created!
@antonomaseapophasis5142
Why did Wren not adopt the example of Brunelleschi’s 1436 dome in Florence?
@CarolynMcPherson-r3z
I love your program, Mr. Hicks. My husband and I were in Barcelona before the new Sagrada Familia was finished. It was simply amazing. So it's great to have seen your photographs as the work continued. Excellent explanations. Thank you!
@AnasZeghari
I was first introduced to this idea by visiting a Gaudi expo in Paris. Probably one of my favourite things in architecture
@finestructureconstant3921
Very informative. I learned about string structures and knew it was used in bridges back in my school days and roofs but not in the construction of St. Paul's Catherdral. I wish I was aware of this on my visit to St. Paul's Cathedral.
@jwvandegronden
I thought Gaudi was the only one who did that, even invented it. I probably distilled that when I visited the Sagrada and the Cripta de la Colònia Güell, with its angular pillars. Both breathtakingly beautiful! The latter is really well worth it to go there, with these angular pillars and the light through the stained glass, feels like a fairy tale came to life!
@cwl3392
Was not expecting Toronto’s Humber bridge to show up in this 4:51 !!!
@PermaPen
Crikey... This is all new to me, and fabulous! I'll be looking at curvy architecture very differently from now on. Literally.
@hansangb
Fascinating. As the saying goes, anyone can build a bridge, but only an engineer can build a bridge that barely stands.
@ollimekatl
Very interesting video, thanks for creating it. What I found interesting was that when I draw, and ever since I started drawing, I turn my drawings upside down if I get stuck. Especially when drawing graffiti letters, drawing graffiti letters is in a way like drawing structures, they have to be balanced.
@zmarilu5016
I clicked to have some background noise and before I knew it I was glued to the screen. I was fascinated! This was a wonderful video, thank you!
@johnnymnemonic69
This is all beyond my comprehension. Real next level genius stuff
@robertdufour2456
Wow! This is brillant! Thank you for sharing this piece of history.
@DJSmith67
Thanks for this truly fascinating video. I was unaware of this aspect of architecture/engineering. And, that was probably the smoothest, most natural sponsor spot I’ve ever seen. You were well into it before I realized what it was. As a result, I’ll do something I rarely do: actually check out your sponsor.
@tomn2765
hook doing that wacky flipping is surely nominative determinism
@lc1138
Thank you for this video ! And nice idea for a sponsor.
@Zappygunshot
I'd thought he was going to coat the hanging burlap in plaster or something like that, but the idea of using ice is even more amazing. It's easier (provided you've got the right temperatures around), cheaper, and lighter too! That is the kind of creativity that I love so much. The only question I have is, how did Isler avoid the liquid collecting at the 'top' of the structure as it froze? Gravity would've pulled all the water in a single direction, resulting in a slightly different density and therefore a slightly different shape... was it just a matter of applying a thin enough layer that it didn't significantly change the big picture?
@awnion
4:48 is not a catenary curve since if you do a suspension bridge -- it will change behavior of hanging not just coefficients. So ady = a sinh(x/a)dx after integration gives you y = cosh x/a but it's only because there's no extra weight proportional to X axis, only proportional to the curve direction at any point. But if we add extra weight proportional to X (like in a suspension bridge) -- the integration will give you a different family of curves (in this case it will be y = k x^2)
@kadibookalways
what a lovely and well explained video. Such a fascinating subject!
@justinspencer7293