This is Brilliant. I kept Googling Machs, trying to figure out what a Mach was. If I was more patient and listened longer, I would realize he was saying "Marks".
Francis attrill there is no such a thing as a straight line. What you think is straight is actually a curve of infinite radius. It only appears straight because you only see a small part of the curve from very close. If you could step far enough away you would see it as a curve.
he's talking about a perfect straight line.. perfect geometry in the abstract sense. You can make one in a computer but there are none in nature because they will always have distortion, just how there is no pefect sphere because it can have unlimited amount of tessellation. Yes, crystals and such have straight lines to the naked eye but no they aren't really.
From 5min 34 sec "Any rectangle that has the same angle of a diagonal is the same proportion." Can someone maybe rephrase this for me? I keep repeating the line in my head and it is making no sense. I am really interested in what this man is teaching, and I am determined to learn it, but sometimes I'm not sure if he's struggling to communicate or if I am just not smart enough to understand.
Imagine you have a 2x4 rectangle. One side doubles the size of the other. If another rectangle share the same diagonal, it's going to share the same proportion (one side is the double). For example 4x8, 1x2, 42x84.
When the diagonal of a square or rectangle is extended it will produce a shape of the same proportion. This would be a characteristic of all rectangles.
Draw a right-angled triangle and put a mirror on the hypotenuse (diagonal line), and the reflection is the exact proportional opposite. In other words, if draw it on paper and then cut it out, the two halves would match. 😊
Any rectangle has 90 degrees between two of its neighbouring sides, yes? Then when you draw a diagonal, this diagonal creates two angles - one from the short side to the diagonal (call this angle A), and one from the long side to the diagonal (angle B). And naturally these two angles add up to 90. Now, for any two given rectangles that have their diagonals drawn, if their angle A's and angle B's are equal, then their proportions are the same, a.k.a. their ratios of short side's length to long side's length are equal. Maybe one is a 2x3 and the other is 4x6, but whatever the values of the sides may be, if the angles are the same then the lengths of the sides absolutely have the same ratio. This mostly happens due to trigonometry. Then he displays this by drawing smaller rectangles into one big rectangle, because if two rectangles share the same diagonal, then they absolutely share the same angles A and B.
I'm already struggling with self-doubt concerning even being able to draw. Now I'm watching a treatise on geometry. That's just great because I struggled with geometry in the 10th grade. So now instead of trying to outrun one boulder, I'm trying to outrun two.
@@paullittle9187please don't let that stop you - there are many ways to come at art and drawing! The last few years of self study, I would not have been interested in this approach, but others were great. Now for whatever reasons, I'm ready for this stuff and excited about it. But it's not the only way into engaging with art. Wishing you the best in your journey with it.
amazing how primitive man allegedly "decoded the language of his gods" and went on to fear "gods," build temples and worship gods--all going back to him discovering this ratio. Instead, we need to be in awe of the Creator who designed the universe and used a ratio as a tool as He did it. "Gods" were not created by ratio-noticers; ratio-noticers were created by God.
I've seen SO many straight lines in Nature. Stand on a beach and look far out at the the horizon line. It may only be 179 degrees or whatever, but it's straight for all practical purposes. In Hawaii there are endless stands of trees with trunks so straight and bare they look like super-tall pencils with no branches until you look way up the tree. Why is that meme that repeats that there are no straight lines in Nature so popular?
Those trees aren't straight, the horizon isn't straight unless you think the world is flat.You don't seem to be drawing your opinion from facts, maths or geometry but from 'experience" which is faulty because our eyes do not display the world as it is, but how it simplifies it for our understanding.
Well, unless our eyes & the intelligence which directs them to perform as you say..are not part of nature, or the 'real world, then for all practical purposes there ARE straight lines. I was careful to qualify my statement about the horizon, because I know the planet is an oblate spheroid. Are the straight lines I reference exactly, mathematically 180 degrees straight? Of course not, and I said as much - but since our context here is ART, which is all about 'fooling the eye' into seeing depth via a 2-D surface? I think there's room to allow that there's something to be said for the the old truism: Perception is reality. When we drive down the road in Hawaii where one side is dense with those trees that are SO tall and "straight-ISH" to the nth degree? And, the grandkids say, "Look how tall and straight those trees are!!" - I skip the pedantics and simply say something like, "Yep, pretty cool, Right?"
To percive is to lie to yourself. As artist we apply alternate strategies of seeing the world and absorb that philosophy for the sake of verisimilitude. The pedestrian will think what ever they may; it's artists who truely see the world for what it is. Sadly, I'd wadger that you think the sky is blue, or that what you're looking at is text. I'm afraid further explination would be wasted type as these concepts are not meant for people who cannot understand the logic of "nothing in nature is ever straight". It's not that you're an idiot; rather you simply have no use for the philosophy of- let's call it - illusion.
Wow, full of yourself, much? That was comically pompous. I hope you don't have to breathe the same air as too many "pedestrians'" this weekend. I'll "wadger" (rhymes with badger?) you won't, and they'll be grateful for that. Bye!
Thank you! People can trifle all they want. The 'no straight lines in Nature' claim is one of those old truisms that become un-challengable over time, but so many of those can be put to rest.
I mean its not that what hes saying isnt helpful... but the first minute or 2 is him literally showing you hes a good bullshit artist. Straight lines occur naturally all the time in nature.. not sure where he gets the bs that there isnt.
