GEOMETRY and ARCHITECTURE Explained
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- Опубликовано: 9 июн 2024
- Geometry is a language and a portal that allows objects to pass between the physical world and the world of drawing, abstraction, and language. How does stepping through this portal leave an imprint on the buildings we design and build? Architects and theorists like Vitruvius, Alberti, and Le Corbusier all believed that geometry was an important key to architecture’s understanding and design. Is that as true today as it was then? The tools of the architect have changed, has their relationship to geometry changed as well? In this video, we explore why and how geometry is so important to architecture as well as some different approaches to the use and expression of its most indelible principles.
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University of Illinois at Chicago School of Architecture: arch.uic.edu/
#geometryarchitecture #architecture #geometry
![Louis Kahn’s Architecture of the Room [Trenton Bath House, Esherick House, Exeter Library]](http://i.ytimg.com/vi/lZGOyBzy5c8/mqdefault.jpg)
![Louis Kahn’s Architecture of the Room [Trenton Bath House, Esherick House, Exeter Library]](/img/tr.png)
I'm a senior arch student and I personally had lost interest on school and pursuing architecture, but seeing this and going back to the basics makes me realize why I choose this in the beginning so THANK YOU!
Your students are most fortunate to have you as a instructor.
Thank you!!
I came here from ArchDaily’s article. This is amazing, I’m still an architecture student and I really appreciate videos like this. Thank you and please keep up the good work!
Wish this were available when I started out. Now it's more about reflection than the future for me.
Yo! THIS SHIT FIRE! For real, I wish these videos were around when I was going through school! Keep up the good work!
I like how you explained how the Fibonacci sequence can be derived from the 1.61:1 aspect ratio and also where that comes from. This was a mind blowing moment!
So happy to find this channel.
The earth is an oblate spheroid not an oblong spheroid
Good catch.
I knew if I scrolled far enough I’d find this. Moral: Scroll first, comment as last resort.
Geometry is a fascinating thing to use in Architecture. I designed a building in a geodesic dome while at uni. It was a challenge that I learnt a lot from as the Geometry forced me to play by its rules.
This scratches THE itch for me.
In middle-school I wanted to be an architect. The universe conspired against me, and now I'm a music major, but I still want to learn ALL of it.
It's never too late to go back, or combine the two...
mine civil but i love to learn a)
Another fantastic video.
One rant: I have noticed in the archisphere, lots of people call shapes ‘geometries’. But the plural of geometry should be used only when talking about multiple studies of geometric relationships (Euclidean, spheroid, hyperbolic etc…) as a geometer first and architect second, it’s just a bug bear of mine
Hmm, you're right. It's not something I thought too much about. I'll try to clean up my act!
Hey, can you clarify with a couple of examples? when to use the plural or singulars?
I do love some good linguistic pedantry, and I can't wait to bug friends and colleagues!
@@Tiwiwie00 Euclidean geometry + spheroid geometry + hyperbolic geometry = 3 different geometries
Note the use of singular ‘geometry’ and plural ‘geometries’. Hope that makes sense.
Another archispeak linguistic bastardisation that makes this pedant twitch is the use of typology to mean type. ie Typology is the study of types, not the element (type) of itself.
I think, just like management speak, architects like to use terms that sound smarter than standard words to obfuscate and create a sense of deeper knowledge/understanding than the layperson. Most people understand ‘shape’ and ‘type’, however if you use ‘geometries’ and ‘typology’ apparently you sound more learned.
… rant over
@@DirtyDdddddddddddddd I see what you mean now.
I have similar feelings on how people mix up isometric, axonometric and oblique projections.
@@Tiwiwie00 that one upsets me as well, but I do see it as different to the two examples I give
I believe the iso vs axo vs oblique is more a mistake of not understanding the difference, and it is a little technical… which a lot of current architecture pedagogy tries to stay away from.
But I believe ‘geometries’ and building ‘typologies’ are used erroneously to make one sound smarter. Less of an innocent mistake.
(This is all next level pedantry, and in-person I let people think and talk how they wish. But these matters keep me awake at night! It’s always good to meet a fellow pedant in the YT comments section)
I'm studying architecture purely for drawing purposes, but these videos are really entertaining and educational!
Glad you’re enjoying them!
I've been looking for this in-depth discussions on architecture and built environment for the past few years. This channel might become big.
Great video. Geometry reminds me of grammar, which came later on than human to human communication, and was an attempt to describe, control and provide rules.
Another great video. My first professor, (more than 30 years ago now... Ouch) was an old Hungarian disciple of the metaphysician Coomaraswarmy and introduced to us the metaphysical aspects of geometry, and to the idea that it is the relationship to number that is ultimately important. The premise was that many cultures developed (unconnected) practices and rites from the truths contained in Zero(the void) and one (existence). All the other numbers and therefore geometry fall into place once this has been established. It's a nice way to break down the persistent Eurocentric gravity of western architectural education, but it also quickly leads to the dogma of monotheistic religions (pick your flavour). It sounds like bullshit but as computers have brought non-euclidian geometry to the masses (some kind of geometrical orgy if you will), maybe it's time to rethink what geometry means and consider if we can ever free ourselves from it.
I am relieved to find a channel with comments that are intelligent and erudite. Maybe I should class up the channels I look at normally. So I just subscribed to dis guy's.
Can you clarify some computer programs that include non-Euclidean geometry?
I literally have not seen a single one. and I'd love to see the use of it! intuitively it sounds really impractical, but I've found that most learning is found when intuition is questioned.
@@Tiwiwie00 modelling applications still all operate in a Cartesian co-ordinate system (as far as I know) but modern applications have all the tools to easily work with ellipsoid and hyperbolic geometries. Rhino happens to be the tool I use and all the modelling is done with so-called NURBS which can easily describe Euclidean and non-Euclidean surface geometries
I feel like what I've so far in architecture has been further enhanced by your videos! I've been really enjoying learning more, so thank you! Also, as someone from IL who is studying abroad right now, it's nice to see Chicago from your works c:
Ten thumbs up for the Patriot cameo! You musta been ROFLing during that scene. The show has some great architecture too!
It's honestly one of my favorite recent shows.
Great video! Thanks for the content. I really have grown to appreciate architecture with a little bit more depth. Youre doing a really great thing here for your art medium. Its important that we express our passions, they are only defined how theyre perceived. youre widening my perception of architecture.
A brilliant lecture to introduce new students to the practice of architecture. Useful too in a program intended to introduce university students to professional choices - better than anything else I've seen.
Thanks for featuring the Detroit Symphony as your musical example! I'm catching up on your older videos and that's the second time in two days that Detroit has appeared. The Detroit Institute of Art was shown when mentioning Paul Cret in a Louis Kahn video.
I would recommend you to go through, the ancient Indian system of architecture and planning called as "Vaastu Shastra". Study the age old temples still standing. All you have come out now is just a tiny bit of a very sophisticated and complex science.
I’ll look into it. Thanks for the suggestion.
True 🤝
Super rich video, Stewart: interdisciplinary in the extreme. Bravo.
I come from a clothing line and find immense value in this video. Feeling like I found gold nuggets
That was good Stewart, strong sentence at the end! 14:20
My first studio professor was obsessed with the golden ratio. He would have us cut the rectangle out and PRECISELY measure and draw the arcs and lines to show the golden ratio. We were to use rapidograph pens only and all drawn lines had to be used with a straight edge or compass
does the golden ratio will implement in the building? how does it work
@@pradap2298 honestly, i didn't ever gain much use from the golden ratio. It's good if you are trying to lay out a facade geometrically, but other than that, the ratio isn't really used in any building material sizes or standard opening sizes or room sizes or anything really. It's more of a conceptual tool.
us too !
Looking at the quality and the topics of your clips, you deserve way more views
Working on it!!
@@stewarthicks I'm rooting for you! If half of my university professors would have been like you, I wouldn't have been a failed architect that switched to graphic design :D
Amazing video, Your students are be lucky to have such instructor.
I just found the channel and I gotta say that I really love your videos!
This was really concise, useful and fascinating! Thanks
Hi Stewart I love your videos they have been really helpful to me as a 2nd year architecture student in the UK! I was wondering if you could also make videos on architecture that isn't just based on the Western architects that we tend to learn about in architecture school although this is helpful for my degree it would be great to see more diversity.
Jubilee, I'd love to. This is just the beginning of the channel and it will certainly grow and diversity.
I really appreciate videos like this too, are awesome!
I love your videos thank you for your time and for your effort, all the informations wow inspire me to be a better archictec
Amazing Video! Thank you!
I believe that you would definitely have research papers or essays, tell me where could I find those.... Cause you particular use of language is fascinating and help a lot to understand architecture for a student such as my self
9:00 same for the squares and lines. Too Perfect.
The comment you made about Le Corbusier and his using a 6' man for a standard measure gave me an explanation. Standard kitchen and bathroom fittings, particularly for height, don't work for me at 5' 6". I've learned how to live with it of course. My mother was 5' 2" and watching her work as a professional cook was painful at times. Try making pastry in a deep bowl on a worktop that is far too high. It strains all of your upper body muscles as you try to lift yourself up to use your hands properly. For me that's standard dining table height. The man had some interesting ideas, but I've noticed in the past that he missed some of the practical details in his plans. Taking the average height of adults in a geographic area is a detail so obvious many overlook it.
once again, great content
It's surprising how many architects don't understand geometry. I can't count the number of times I've overheard the sales staff at my consulting job explaining to an architect that they can't put 150mm insulation in a 90mm stud frame wall.
Looks like you're a real fan of rhino! I see that rhino 7 title! I got mine the week it came out.
Dude dude dude keep ‘em coming!
I know I’m late to this video, but I might argue that the most precise circle is not in fact the definition because that definition is only communicable and understood in the language that it’s written. The definition of a circle in another language may require drawing on different concepts to explain the matter, so the psychological process the language facilitate for form the image on the mind might be different, and even have a different result. A compass-drawn circle, while impossible to perfect, is an incredibly close approximation and can be understood regardless of the perceiver’s language, which seems like it would give to credit to the counter-position - that a really well drawn circle is the most precise circle. Even more precise are the circles we can develop on monitors whose resolution (and pixel density) is so high that we can’t make out an individual pixel.
Epicycles in ancient Greek astronomy persisted for centuries partially because of the same dissonance {and the catholic church's geocentric doctrine).
fantastic episode!!
Thank you Jimenez!
Hey Stewart! Great video! I was looking for a video that explains or somehow suspects that how built environment can effect our emotions, I think this video is a good start for me! Ps.. can you tell me what movie clip did you use at 9:00?
It’s from a show called the patriot on Amazon prime.
Nice take on geometry
Amazing!!
The 'Delight' property is one of the most contested concepts with architecture critics and historians, especially of the conservative/traditionalist mindset. It's striking how many people truly believe that beauty is 100% objective and fixed, like proportions, and that something they don't like is factually ugly. With all the zoning laws and ordinances today which are reactions to this mindset, it has created a lot of samey-same designs everywhere especially in housing.
I started grad school designing based on these ideas. I finished grad school post-rationalizing these ideas into my presentations. Now I design based on the IBC/IRC and use these ideas when available.
I am very impressed by architects who are able to have these ideas in their finished product. Big concepts are REALLY difficult to carry through a design.
I love how you used a scene from Patriot, such an underrated show, with fantastic cinematography , great video btw!
Haha Thanks!!! My current favorite show, on recommendation from my good friend Grant Gibson. "We make circles..."
Omg I drew up il palazzo del lavoro for a course at my university last semester. So sad that the building isn’t used these days
In Europe, our paper sizes are governed by the golden ratio. Din A0 (Deutsche Industrie Norm A0) is a sheet of one square meter and the promotions of the golden ratio. An A1 sheet is A0 cut in half and so on. The most common size is A4. It is used for home printers, notebooks, letters and so on.
@Sathish V You are right. Thank you. It seems to be a common misconception that it is based on the golden ratio. Thank you for pointing it out to me.
When one learns to Medatate.
One of the first things that you will see is Geometry shapes and patterns..
It's a kind of language.
A fabric like grid, that exstends across the vastness of the universe.
Like a multy dimentional map of time, containing all knowladge.
I'll start drawing the paterns, that I can see.
They're really exsighting. 😇
Different from the common ones.
Thanks, cool vid. 🎯
G.
What I took from this video is that the bathroom toilet should be positioned in the center of the golden ratio where the flushing of the toilet's Coriolis effect completes the spiral.
Thanks
Were you taught / does your institution teach Descriptive Geometry?
To which depth?
What is the standard in USA?
sir you are my fevorite
Yay Stewart!!
Wish they had RUclips when I was an archi student 2004-2005, before I dropped out.
architecture is so interesting 😳
Very interesting. I wonder where the Tetractys and a 1000 years of musings in arithmology (500bc to 500ce) sits within these ideas and the human intent that got us here. I love the clip expressing that nature doesn't produce perfect circles...interesting to ponder...perhaps perfection is just plane not a natural state. Thank you.
That's why all Persian rugs have deliberate mistakes in them...
Really neat thing to consider, thanks :)
ACKTCHUALLY the first four digits of the golden mean are 1.618, so you should be rounding up to 1.62 if using three digits.
Man, I hope you didn't design any buildings with that blunder
Oh no, my proportions are all off!
Technically correct the best kind of correct
You're getting a like for the Patriot clip. Great show.
Love it.
it is my firm belief that the golden ratio is the random seed used to generate this instance of the universe
"Where I think it goes off the rails is when things are made complicated just for the sake of it." 🎯
It would have been worth mentioning that the golden ratio is not a rational number like 1.61 but has infinitely many decimal places.
👍👍👍👍
4:48 omg where Can i find this video
Hi, is there a book for architecture and geometry? It'd be great for deeper reading.
Robert Laylor's Sacred Geometry is a great place to start, but, beware , there's a whole rabbit hole of cosmic dot to dot lunacy out there too....Have fun.
13:30 what building is this please?
Euclid has been credited for geometry by europeans however he took it from ancient egyptians had already measured lands and earth long before him ..
As the greeks (Ptolemeans) settled in Egypt they learnt from the locals ...
14:25 "Geometry is an invention", or is it a discovery?
Which movie excerpt around 9:00 ?
Found it Patriot
You know what is really weird, having to do with your video tangentially? I was just THINKING, mind you, THINKING to myself, not out loud, as I drove down a street (Bryant St, by the Hall of Justice, in San Francisco) which I do all the time,( and I've been watching yet another of an alarming number of new mini-apartment buildings going up in a city that's losing people to live in them daily, while more and more Americans live on the street, but I digress) and as I pass this nearly completed apartment/office complex, I thought to myself, (again I don't think out loud) about how blueprints are drawn and how the flat drawings on paper get translated to an actual 3D building, and how architects decide what materials to use, and the most efficient use of space, and also why most buildings built since the WWII era are just big boxes with doohickeys or gimmicks stuck on. Le Corbusier and Bauhaus and all that trash. But the point is after just thinking about it, suddenly I get home and get online and RUclips had your video on bricks and if they want to be arches or not came recommended on the first line of recommendations.
THAT is some creepy sh*t.
(I'm glad it did, actually, but I think I may have to start wearing an aluminum foil hat.....or would actual tin foil be better, you think? You're an architect....)
Actually the golden ratio is closer to 1:1.62 because it can be more accurately represented as 1:1.618
I'd be curious about exploring the connection between geometry as it's used now and the sacred geometric principles embodied in Islamic holy places. They were precise about everything
So is Stewart a Gehry anti-fan?
1.618...=¶...I know, I know, it goes on forever and never repeats...but the third digit...come oooon.)))
Childishness aside.... it's a great quality video.... should have more interest towards it.
10:50 modular man
And now we can explore even more complex geometries in softwares like rhino and grasshopper.
Le Corbusier designed our city Chandigarh 😄
4:28 ahh dynamo 😭
Fun Fact: The ratio of a kilometer to a mile is 1.6093 to 1.0000 or 1.61:1 ☺️
Stewart is reading. Eventually he may learn to speak naturally. Keep up the good work.
Yes, but do you realize it's nearly impossible to talk through a long essay like this- without messing up so many times that you'd spend a month editing it? Try it- you'll realize the most efficient way to get all the right words across is to read a script. Some don't show their faces so it may fool you into thinking they aren't but they are. Including Simon Whistler- one of the most popular creators on the platform reads scripts- every time!
@ Super Adventure: there is nothing wrong with reading a script. He is doing a good job and eventually he will get so good and natural that we will not realize he is reading at all, whether we see his face or not.
@@silverglass6635 Right, that's true. There's also the possibility of editing out the bits where one stares too strongly at the screen etc. Overall I think he's a good reader; and his scripts are good. His interior decor is also awesome
Hey, Can I know where is this video from ? 8:56
A show called Patriot. It's awesome!
Arigato, Gyro.
wouldnt a bubble be a perfect circle or at least a perfect sphere?
I have long maintained that the computer generation of architecture has produced a bland "digital sameness"... The architects no longer are doing the work, which loses its humanity. Computers are great aides but they can never substitute for the human brain. I believe that Eero Saarinen (1910-1961) was The Last Great Architect.
ngl, he kinda look like Ryan Reynolds with a mustache
I'll take it.
@@stewarthicks excellent. I wasn't selling anything else
Sophisticated surveying actually goes back to Babylonia. They understood Pythagorean triples.
OK one last comment....(I always feel compelled to bore the bloody 'ell out of anyone whose videos I like and I keep thinking of new things every couple of moments....) 3:40 I like what you say about that we can only create things we can imagine. I also am of the opinion that anything we can imagine is a possible thing and that which we cannot imagine (yet, anyway) may be outside our grasp. It's the thought of that which made me switch from being a half-a$$ed atheist back to a believer in a Creator.
It's also why our public school system wants to dumb down children as much as possible, because an uneducated population is much much easier to control. In my home state, California, the party in charge has succeeded so well that we've gone from being in the top 3 in education to 49th within 25 years. Our appointed governor has happily told America that as California goes, so goes the nation. Let us hope to Euclid that he's just doing wishful thinking. (altho if he gets recalled, there may be some positives in that comment)
OK, I'm done, I swear. RUclips often just chucks my comments out and the channel Creator never gets to see them, so this point may be moot.
Bubbles?
I have two hesitations about your presentation of Le Corbusier's Modulor: First, I can see how a 6ft height for a ‘standard’ person can be read as a gender bias, among other things, but what does it have to do with skin colour? Second, 6ft? Le Corbusier wasn't Commonwealth or American, was he? Did he really use Imperial measure in his work? _That_ would be a noteworthy bias!
According to Wikipedia-and I'm not claiming Wikipedia as the source of all truth, but assuming for the moment they got this one right-Le Corbusier's base was 175cm, or a little under 5ʹ9ʺ, a height which currently (again, going by Wikipedia data :-}) currently favours women over men in some countries, such as the Netherlands. Indeed, it falls between (though at the high end of the bracket) the WHO's estimates for healthy adult males and healthy adult females worldwide-suggesting that it is biased more in favour of _relatively wealthy people with good diet and health care_ than white males. Statistically correlated, I grant you, but not the same thing.
This is not to say that ill-intent was absent. I used to know someone who worked at Intel, and it was absolutely striking that the cubicle-based office space they used at the time had the property that the typical male employee could easily look over the tops of the partitions, and the typical female employee could not. It's hard to imagine that being an accident.
How much math does an architect need? Geometry and calculus?
ey
I enjoyed this immensely.
On a side note, just have to say that I never expected that anyone speaking about Geometry and Architecture would find a perfect segway to slide in a commentary about "inclusivity" 🤔
It seems that no topic escapes this (IMHO) over used and divisive political narrative 🙄
I bet most in these fields see the 6' White male... as just a 6' white male. Isn't that okay?
Can't wait until Vitruvian man becomes anything but white 😏 and DaVinci is cancelled.
Thank you for your comment and I recognize the sentiment. However, when people claim that something is one-size-fits-all and the world should live with a single human's "universal" design strategy, it's also probably good to identify the flaws in that logic.
Because only white males can be 6’-0”, not asians, blacks or martians. I don’t recall modular man being known as white modular man.
Yeah,would love to see what the Vitruvian woman would look like !
Euclid invented geometry… the Pyramids crew were just scratching lines in the sand, huh?
Two words.. creators code
Oh I can't help one more 4:42 or thereabouts (I have a fondness for 442 because I own a 1971 442)....don't those three attributes of Vitruvius remind us more earthy-minded people of the way men feel about their own male attributes.... "commodity, firmness, and delight". It's a floor wax AND a dessert topping! (that's a SNL joke but you likely know that, but you are perhaps a couple decades too young for me to be sure)
Architect's don't have tattoos either, and if they do like this video depicts, then that Architect shouldn't be trusted, as he will never grow and learn, always seeing himself as being "someone."
Are humans the greates creation within nature? You can not just say that.
Le Corbusier abused geometry. His "man" is disproportionate in the extreme. But in his defense PC "inclusiveness" hadn't been invented yet, and he never specified that his 6' tall man was white. Academics should be ashamed of themselves for projecting their own value system onto a past where it's completely unknown and therefore meaningless, and infecting their students with the bad habit of projecting current biases anachronistically onto our forefathers instead of training them to fairly and objectively evaluate them in the context of their own milieu. Such revisionism always must be guarded against and condemned in all academic disciplines.
It's misleading to say "the starting point is
completely arbitrary". The whole point of geometry is to relate things to each other through the ratios of their measures. Le Corbusier had a valid point, misguided though his system ultimately was. His point was that buildings are made for the use, occupancy and delight of mankind, therefore the measure of an "ideal" man should be the basis of measure for his buildings. It would have been even less inclusive for him to have based his Modulor on the 5' height of a small woman because then what man could stand upright and fit through the doorways?
And by his name alone, I would guess that he or his forefather was black.
"Humans are the greatest creation in nature" is that your authentic opinion? ok... wow