"Mathematics is not an abstraction disconnected from reality, but a vehicle of the project..." The creative design needs shape and rule, it needs a language that can provide its representation, calculation and execution. It needs GEOMETRY and EQUATION..."
at 2:08-2:10ish, the narrator assigns parabolic curves with the curves of suspension bridges. This is incorrect. When a rope/cable is suspended from two points set at a distance that is less than the length of the rope/cable, gravity acts on the rope/cable, forming a curve that is in the family of functions called a catenary. It is not a quadratic polynomial (which gives us the parabolas), but rather it is a hyperbolic trig function.
How do you create that aquarel effect with outlines on a paper textured background for photos 8:15? It looks awesome. I would love to have a tutorial for that.
Muito interessante saber sobre as fórmas geométricas que cada arquitéto se inspirou,cada um com um estilo diferente e projétos bem elaborados Esse software realmente é muito interessante na elaboração dos projétos em suas fórmas
i do not understand math but i understand its physics and how mathematical objects come together. i sleep, i dream, i create. just do not ask for the equation for i am not an theoretical engineer. 😊😊😊
When the structure is being built and the main cables are attached to the towers, the curve is a catenary (hyperbolic cosinus). But when the cables are attached to the deck with hangers, it is no longer a catenary. The curve of the cables become the curve of a parabola. Unlike the catenary, which is curving under its own weight, the parabola is curving not just under its own weight, but also curving from holding up the weight of the deck. The cable of a suspension bridge is under tension from holding up the bridge. Therefore, the cables of a suspension bridge is a parabola, because the weight of the deck is equally distributed on the curve.
One of the things I love about TH-cam is stumbling across such interesting and enjoyable content like this.
"Mathematics is not an abstraction disconnected from reality, but a vehicle of the project..."
The creative design needs shape and rule, it needs a language that can provide its representation, calculation and execution. It needs GEOMETRY and EQUATION..."
Anil Achar 👌
Anil Achar 👍
EXCELLENT PRESENTATION! GREAT FOR UNDERGRADUATE STUDENTS TO STIMULATE THEIR INTEREST IN THE UNDERSTANDING OF GEOMETRY
I simply adore when math comes alive. Geometry of light. Maybe more curve lines. "Bubbles".
at 2:08-2:10ish, the narrator assigns parabolic curves with the curves of suspension bridges. This is incorrect. When a rope/cable is suspended from two points set at a distance that is less than the length of the rope/cable, gravity acts on the rope/cable, forming a curve that is in the family of functions called a catenary. It is not a quadratic polynomial (which gives us the parabolas), but rather it is a hyperbolic trig function.
How do you create that aquarel effect with outlines on a paper textured background for photos 8:15? It looks awesome. I would love to have a tutorial for that.
This is more than likely a set of watercolour-like brushes in photoshop with varying opacities! :)
Fat2Mad 👌
We need more videos like this¡
The shape a cable forms in a suspension bridge is a catenary not a parabola. There is a difference.
Very Nice... All are very informative and interesting and helpful to all like me
Incredible footage. Loved the channel.
Subscribing right away!
What a phenomenal video!
Muito interessante saber sobre as fórmas geométricas que cada arquitéto se inspirou,cada um com um estilo diferente e projétos bem elaborados
Esse software realmente é muito interessante na elaboração dos projétos em suas fórmas
What program did you use for the animation part? Can you tell me?
Lee Jong min ssi lol
2:04 That's ought to be catenary, not a parabola
Belle et instructive vidéo, merci aux portugais de la faculté d'architecture de Lisbonne.
Quadriceps surfaces! I’m studying, learning them at the moment.
Do you study at architecture school?
Bao Nguyen 👍
You never explained how Calatrava's sculpture works.
excellent video
So beautifully explained 😃😃😃
i do not understand math but i understand its physics and how mathematical objects come together.
i sleep, i dream, i create. just do not ask for the equation for i am not an theoretical engineer. 😊😊😊
his voice is magnificent
Super useful, thanks.
Cool n awesome video keep posting #salil510
#FanfromIndia
suspended bridge cable aren't parabola, they are hyperbolic cosinus ! It may look like a parabola but they are totally different curve
When the structure is being built and the main cables are attached to the towers, the curve is a catenary (hyperbolic cosinus). But when the cables are attached to the deck with hangers, it is no longer a catenary. The curve of the cables become the curve of a parabola. Unlike the catenary, which is curving under its own weight, the parabola is curving not just under its own weight, but also curving from holding up the weight of the deck. The cable of a suspension bridge is under tension from holding up the bridge.
Therefore, the cables of a suspension bridge is a parabola, because the weight of the deck is equally distributed on the curve.
escelente y objetiva demostracion
Very interesting👑
amazing video
Lovely.
Mathematics is the simplest branch of human knowledge, made unnecessarily complex by the way it is taught and presented.
A wild imagination is an engineers worst nightmare lol
Im so confused
At last it was an add.
Stan Seventeen.
wish i was good at maths.
Please colab with 3blue1brown... 😍
Let's open a parenthesis *(*
Gente eu só queria que o inglês fosse minha língua nativa pra eu entender isso um pouquinho melhor
[traduzido com google translate ] clique aqui se você fala português th-cam.com/video/M6p1HDtLWmk/w-d-xo.html
@@vincentmeister5105 ohh my god thank you so much!!
th-cam.com/video/M6p1HDtLWmk/w-d-xo.html
Versão em português
He lost me at 'the three figures'...................................
Gi2.pt