 So I ended up going for round two at Dirk's house, just to take a look at what he's been working on. And he showed me some of his pieces and it ends up that he's been using the golden rectangle in the pieces that he's been working on, both sculpture and paintings. And he showed me some of his paintings, some of the structures and how he's been layering the golden rectangle, how he's been rotating the golden rectangle, how he's been translating the golden rectangle layering the stuff and putting paintings on and getting the eye to focus in certain areas on the painting, depending on the ratios created by the golden rectangle. Now what we're gonna do right now is bring Dirk out and he's gonna walk us through how he ends up creating the golden rectangle. And we ended up finding a nice tennis court that no one's playing on and it's gonna work out perfectly for what we wanna do. So what we're gonna do right now is get Dirk to show us how he draws the golden rectangle and when we start talking about his artwork, this is the image that you should keep in mind, this is the ratios, this is the proportions that you should keep in mind because this is what's embedded in his work that we will take a look at, okay? So we're gonna end up using a few different colors, Dirk. So we're gonna create the golden rectangle on the doubles court side of the tennis court, I guess. Is that what it is? What's this called? The doubles side, okay? 56. So that's 56 inches? Yeah, 50 inches. Okay. See how nice is the same thing over here? So one another 56 here? Yep. Okay, I connect them. Are we filling it in? Yep. Cool. So what we got right now is that's a perfect square so each side is 56 inches, okay? So now I have to do half of this, 56 divided by two. So what we're gonna do is divide that, each side by two and 56 divided by two is gonna give us 28. So 28 inches. Are we gonna connect them? No. No. No. So this is like the point right here, right there, to the corner. So we're gonna go from this corner from the middle, 26 inches out to this corner over here. And what that means is this ends up being a triangle which is 26 inches this way and 50, sorry, 28 inches this way and 56 inches that way, okay? So basically this is, if you wanna think about units, this is one unit and that's two units. This is half that or this guy is double that. So we're gonna do the diagonal with yellow. Well, that's just to get where the golden rectangle like ends. Oh, okay. So we're gonna measure this distance. What's that distance? That's all we want, right? This distance is from the middle to there, middle to there is 60 and a half. 60 and a half or 60 and a half? Okay, from 60 and a half. Okay, so we go from this point. Yeah, 60 and a half. Oh, hold on, come back a little bit. A little bit, okay. So what we did on the diagonal, we went from, where are we? From that corner all the way to this corner over here, whoop, and that line over there ends up being 60 and a half and we transpose this. So what we've done, we've taken this length here all the way to there. So that's what we're doing. We're, I'm just gonna bring it back again there. So we're going, cool. So what we're gonna do is connect those guys, yeah? So this is, from here, this thing is our golden rectangle, okay? Perfect dimension. It's perfect dimensions. And this is the outside and the two, the square and the rectangle that's embedded in his paintings and his works. And what we're gonna do now is take this and subdivide it into a smaller golden rectangle. So the way it works is, this is something that Dirk showed me. He takes from that corner to this corner and if you connect up this diagonal, so where this connects, the diagonal, right here is, if you bring a parallel line this way, right here, as soon as you draw that line, this rectangle becomes proportional to the bigger rectangle. It's a smaller version of it. It's a smaller version of it, okay? And all of a sudden we've got a golden rectangle here embedded within another golden rectangle. So the diagonal from one end to the other end decides where you draw your line perpendicular here. Okay. That's good? Okay. So all we have to do now is measure that distance from there to there to here, those guys, and we've got a parallel line, yeah? Perfect. 32.5. 32.5. So should we do this in blue? Yeah. Okay. Okay, we take this diagonal right here. So that's the golden mean, you know, where these two things hit, this point right here, that's the magic point, the golden mean right here. Should we do another diagonal? Yeah, let's do another diagonal. So what we end up doing is, now that we have this golden rectangle, we take a point from here from the corners and draw another diagonal coming across. So as soon as we draw another diagonal coming this way, this point here, you're calling this one the golden, that's the golden mean. This is the golden mean. So that's where the focal point of a lot of the paintings, a lot of work that Dirk is doing is going and that's where the balance is for some of the stuff that he's making, the structures that he's making. And again, right now, we can create another golden triangle right here because that point is the same, is proportional to this point. So if you draw a line here parallel, let's do it with pink. Yeah, okay. Yeah. So right now we have another square and here we have another golden rectangle. Okay. So what we've done right now is have three golden rectangles within each other and you can continue this. And for example, right now we do a, we do a, yeah, okay, we can do this thing again. So we would go from where to where, from here. How we go from there to here. From here to here, and we divide it up here. Exactly. And you would have another one here. That's right. So right now we've got four golden rectangles spiraling in on itself and you can continue this indefinitely for infinity, really, and it just continues on, continues on. And what will happen? Will it come to the focal point here? It will spiral, spiral, spiral. Exactly. All the way down to here. All the way down to there. Okay, so I can, you know, draw the spiral. The spiral would be from 53 and a half. Like that, if you take that, like this. Okay. See, that would be one, okay? Yeah. So we're gonna copy that. So we're just gonna make a little doohickey, chalk on the end with a rope and so we can make the spirals, right? Okay. So I'm gonna go right here. Can you just draw a round one? From here? Yeah. One. One. Hold on a second, let me do a little erase on this deal. Good enough. Let's do the next one. Next one is, the focal point is there, the center. Okay. So from here, we've got one spiral coming in. We're gonna connect another one going down. Ready? Yep. Perfect. Okay. Let's do one more. One more. Well, there's more. I mean, this is just, you know, one more, we have to do one more. Yeah. Then one more, then one more. That's like a perfect. So we did a flip when we put the box here. So we're gonna do the diagonal here. Perfect. Perfect. And then you just continue. Okay, now, okay, with this line intersects, you can make one right here. And then this guy would go here. You would do another one from here. Exactly. And then you would go there. I should grab the camera and bring it back. So I hope this makes sense. What we're gonna do right now is I'm gonna bring the camera down and we're gonna zoom into this area. So we're gonna continue the little spiral. Then we just do a zoom on it or... So what we did was we flipped our golden rectangle based on the other ones, right? So we took another diagonal this way, which is legit. You can 100% do it, right? But what we wanted to do is create the spiral. So what we did was take the connection of this line and the diagonal this way to break up this rectangle and all of a sudden, we just connected up what we needed to create the spiral, right? And all we do now is this diagonal this way connects up here and it breaks up. This thing in a perfect square. Oh, you gotta draw another line from here. That's right, that's right. Always a line. Always a line. So you gotta always draw a line and always, and this thing continues and it's just gonna spiral, spiral, spiral, spiral at this point, okay? Works perfectly. Endlessly small. Endlessly small. Now, one way that I know of the golden rectangle of the spiral is I work like Dirk when he does his artwork, he creates the rectangle and works in. What I end up doing and what the way I know the golden rectangle is, I work from the inside and I work out. And the way that works is what we're gonna do, maybe we'll fill up the boxes and I'm gonna show you how that looks, okay?