Journals #01 - Basics of Geometric Design | 3 & 6 fold symmetry | Dearing Wang | Skillshare

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Journals #01 - Basics of Geometric Design | 3 & 6 fold symmetry

teacher avatar Dearing Wang, I grew up with a pen in my hand.

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Taught by industry leaders & working professionals
Topics include illustration, design, photography, and more

Watch this class and thousands more

Get unlimited access to every class
Taught by industry leaders & working professionals
Topics include illustration, design, photography, and more

Lessons in This Class

16 Lessons (1h 20m)
    • 1. Course Introduction

    • 2. Goals of Journal Series

    • 3. Tool Essentials

    • 4. The Duplo Design System

    • 5. How to create Duplo Blocks in Five Steps

    • 6. Dividing Circle in six parts | Harmonic Points

    • 7. Page prepping

    • 8. Adding first diagram | Diagram #001

    • 9. Adding sixfold diagram | Diagram #002

    • 10. How to draw Three Petals in six steps | Diagram #003

    • 11. Increasing Frequency to Six Petals | Diagram #004

    • 12. The Middlepath Technique

    • 13. Three Circles | Diagram #005

    • 14. The Architecture of Seven Circles

    • 15. Seven Circles | Diagram #006

    • 16. Recap & What's Next

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About This Class

What this class is about: Youtube Artist Dearing Wang walks you through his design system as a means to create amazing Geometric Art patterns for yourself using simple drafting tools instead of a computer.

Meet Your Teacher

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Dearing Wang

I grew up with a pen in my hand.


Hello, I'm Dearing. I grew up with a pen in my hand. No wallpaper in my parents house was safe. Luckily, I also had a deep interest in science and philosophical questions. When I finished my Architectural bachelor degree at the Delft University of Technology I couldn't wait to join the internet revolution and share my passion for Philosophy and Geometric Art.

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1. Course Introduction : Hello and welcome to the journal Siri's part one introduction course to the basic concepts off geometric design, with the emphasis on learning by drawing. My name is daring Wang and I will be your instructor in these coming lessons. Geometric artist Known for it's aesthetics in Trixie and spirituality, the mission is to decode this complexity while enjoying the experience. Along the way, you will find that complexity actually arises from a simplicity that slowly develops into complex designs. And we will build our knowledge from the ground up, using basic forms that are easy to understand so that students will start to gain insight and clarity much faster. Your witness that the process and the mental focus are essential and not so much talent. Toe master This language. We will look into basic concepts like great systems symmetries and simple curve patterns. At first, this will help you develop a strong and practical foundation of design knowledge, but slowly along the way, you will learn to think more creatively. Gain new design ideas based on a system instead of using guesswork. Your education background won't determine your success. It's your focus and willingness to learn about a part of reality that is fundamental to our understanding of knowledge itself. Your ability to be still of mine, receptive of heart, is what will determine whether you will gain a level of mastery and inside or not. Let's not wait too long and get started right away to find out. 2. Goals of Journal Series : welcome to the introduction off the general serious course. My name is daring and I'm going to be your instructor. During this whole experience. I want to give you an overview off the things that are to come and some goals that have set for this course. The most people know me from mutual where made tutorials on specific designs. The thing with those two tours was they were tutorials. How to make a specific design. It did not teach you how to make desires in general, it didn't teach you the basic first principles from which you could create your own versions and be much more original. And I want to provide a much more larger framework off different principles that you can utilize and develop your own design language. I think we all share this sense off. Geometric are being some kind of encoded language. So in the early phases, off this course we will be analyzing the basic forms. So our journey will start very gradually because Justin language, you have to make those meanie baby steps at first, so they might seem very basic at the beginning. These lessons the challenge for me as an instructor is that everybody is coming from a different level of knowledge. Having everybody on the same page on the same baseline will just help my work, too. Explain it in such a way that everybody can understand it. The goal is to gradually build up and structure and organize and document our knowledge. This firm base using the journal Siri's to build up a library off examples of basics basic principles from We can build up more advanced designs and I'll be providing, like downloadable PDF files off course and something as a backup where you can always go back toe whenever you want to. I really enjoy creating geometric art. It's just something very hard to explain and to put into words. It's something very intuitive. And I guess you have the same feeling. I'm wondering what your feeling was. How was your experience? How did you find out about this phenomenon and just share your story? Feel free if you want to, and if you're hesitant, that's OK as well. So we'll be working and putting our work into a sketchbook and will be structuring it and putting it in such a way that we can just look through those work that you're done and see it as a library of basic forms that we can go back to, and we can organize by numbering them in structuring them so that you can. We can always reference thes forms, so let's go over to the tools of materials before we get started. 3. Tool Essentials: okay. We want to start in our journals every scores, but we need tools and going to give you, Ah, list off all the tools that you need and some of the tools that I recommend, but you don't necessarily need depending on your budget. I have a shop page on Amazon Way. I've listed all the items that are needed for the course. It makes it much easier for you to just check if if there are those two that you already have or that you need to purchase them, whether it's on the Amazon page or whether it's at your local store, Let me just go through all the items that I use in my videos in the Journal series. First and foremost, the drawing compass have a drawing compass off. Stetler and I will make a separate many course video where go into all the details of all the different items. The specifics that said, What said I'm just now going to list all the items, so I'm going to go fast through this and get your started A mechanical pencil slash a normal pencil. You know, depending on your preference, I'll be using some coloring colored pencils as something you might have at home and find Linus pens with, Ah, a fine tip and you have them in different Ah, thickness says. And it's ink. Pence create like thes very nice contrast drawings. Next, a ruler, I'm going to use a ruler with some markets on. The important thing is to have some sort of a straight edge. So I'm using a ruler, which is a triangular one. But you can also use a straight edge, and next it's a sketchbook. This one is something quite important to have a a sketchbook to drawing and to keep everything organized into one notebook or sketchbook. I'm happy to use the life's tomb 1917 which is much a bit more fancy sketchbook, but I highly recommend it because of the quality. It has a nice letter. Covering has all kinds of different details on it, making it Ah, nice item tohave, but you could use your separate sheets of paper, but I'm going to go into the dimensions, but later, but that's something I wanted to note. Next we have circle templates. You know, this is just to create very small circles. You can create circles with drawing compass. But once you go into a detailed level, you want to create those very small levels. It becomes very difficult or impossible. So that's why I'm also using circle template. Especially we're going to draw like these very smaller, iconic drawings. And so the sizes are already very small, and then it can get, ah, bit messy if you will only have a drawing compass. Very obvious. AirAsia. We will be making mistakes when we use our pencil. So ever eraser ready and a cutting back occurring Met is for those moments where we will be drawing on separate sheets of paper where you want to frame your drawing. For instance, you can't, um, stabilized drawing compass. You know, the needle point over during compass, and then, you know, if you don't have the ability to stabilize the drawing compass, it becomes much more difficult to create circles in a consistent way. So cutting method is also very nice to have, but something for later on in this very court. By the way, it's not going to be very important because we won't be using it. We all only will be drawing in the sketchbook in on the first page. Ah, so, yes, I mentioned the Amazon shop page that I have online. Ah listed all the products, so it makes it easier for you to just check, um, and and see if you already have similar kinds of products at home or you might need to purchase them. And if you need to, you can already purchase them, own Amazon or take that information and go to a local store and purchase. It's over there. So that's Ah, all I wanted to highlight. Finally, and we can go and starts the next video. 4. The Duplo Design System: so previously. I talked about the Duplo design system, a system that I developed throughout the years, and in this lesson I'm going to explain the basic idea behind this design system. But explaining this system, I hope you will start to be more creative and to develop much more ideas and be more productive and avoid the fear off a blank canvas where you don't have any idea what to do whatsoever. I named this design system after the Duplo Tory's by Lego because I thought they shared common characteristics with the process off developing geometric designs. First of all, the Duplo toys are very fun to play with. It helps you to create different constructions using a finance set off blocks, and furthermore, the blocks are very modular. In the set up, they use a grit system to function as a platform toe built on top of it, and in this example, you see little nuts that function as a guide system to navigate how the blocks can be positioned. Now. Our situation is that we don't have those blocks like the example off the Duplo Legos. We have to build our own first before you can start combining these different blocks into different constructions. And that's something that we will be doing on Page one into will start to build up the first basic building blocks, and we can start to understand the basic principles behind these constructions. The way I have organized these 1st 2 pages are as the following On page one, we'll focus on the symmetries the three and 6/4 and on the second page we will focus on the fourth and the eighth Fault symmetries, and I'll get into what I mean by fold later on. In this course. For now, it's important two notes that we will build our 12 diagrams as part of a library. So key aspect of geometric design is the symmetry aspect and something that when you first get to know this field, you'll start to notice that symmetry is a key component off this design process, and that is why we first will focus on the symmetry aspect off this process. This is like the key aspect who build up and to really position every design element in such way that it becomes pleasing to the eyes. After we have focused on these symmetries. Then we can learn how to derive designs based on these symmetry grids. What we have built our foundation with those 12th building blocks that we've done on page one and two. Now we can start to play an experiment with these blocks, so on page three specifically will combine the building blocks off the left column. Each diagram is by itself very simple, but once you start to play with them, it's not combined them. Then you will start see the synergy effect of combining these simple blocks, and once they worked together, you start to see the complexity arise from it and the awesomeness. So this is what our focus will be for these coming three lessons up until journal stry and let's move on to the next part. 5. How to create Duplo Blocks in Five Steps : Let's analyze how to create a Duplo block in five steps were not going to actually create this. Right now, we are going to first analyze the terminologies and the layers. First, have an I D. Off the concept behind creation process. I'm going to use example number five, because off the simple complexity, it's not too simple, but it's not to advance. It's something in the middle. Let's look into what the layers are off this specific block number five. I have a diagram on the right side. At the bottom, it says full stack. That means they're designed, including all the guidelines and grits, etcetera. Above it is the most basing layer, which is the harmonic points. This just tells you how to divide the circle in equal parts, and in this example, we have a circle divided in six equal parts, six points on the circle and a midpoint. The whole theme when you start is always in. What sections are my going to divide the circling? It's going to be a six or a threefold or a eightfold and four or 10 etcetera. This always defines the character off a design. The points on the circle That's what I call harmonic points because of the balance that it creates its most important part to get this part right and we go into the exercise to how to find these Hamonic points later on. The next layer is the spokes squid. This is a derivative off those harmonic points. You connect those points when you ah, when you connect those points will get those radio grits, and those are very important for finding the guiding frames. For example, in this example, we will create a triangle to find the intersection point. We'll go into it just a sec above it. We have intersection points, and we have. Then we have the final design. So let's go into the specific layers and also the terminology. So it will get you acquainted with the word that I used to define some of the concepts. We always start with a circle container to, ah, capture these diagrams or blocks. It speaks for itself, I think so. We always start with the question. How to divide the circle in how many equal part we want to have it. In this case, we have a six fold division, so the circle has six harmonic points on the edges. We will draw a exercise finding the six points in the next video, but we're going to just look into how this design is built up. The radio grid is when you connect those harmonic points and I'm going to connect one and 42 or five and three and six. The next part, and which is important for this design, is using a frame a polygonal frame, which is a triangle by connecting 24 and six. If you combine the frame and the radio grid by combining these two ladies, it makes it possible to find the next layer, which is the intersection points these intersection points. Later on, we will see a little bit more off how important this is. But for now, this layer defines how to find the design element, which is what makes up the final design. And I'm going to just show you the circle, which is now possible to find by placing the needle point off your compass on exactly the Redpoint and extending the lead to the edge or number one. By doing so, you will find the exact center and the exact placement off that specific circle now tangent to the midpoint and the edge. Once we find these points, we can then repeat those steps on the other side as well. And by doing so, we will create a design block. So the other step now is we just at some coloring, some styling to it, and we're are done with our block. In this example, we have now seen the simple steps to create a simple, dramatic blow, and I want to highlight a very important layer, which is the basic layer, the harmonic points layer. In this example. The diagram was based on a six full diagram, and that's the theme off the first page and second page was a division off a four and eight full diagram, and we'll be looking into that in course, Number two. And there's also the category of a five and 10 full division of a circle, and these are the six regular divisions off a circle. You also have the seven and nine division of a circle. We won't be going into these divisions in the early courses. Thes regular divisions are the most focal points off these courses. For now, it's important to learn and to practice. So in the next lesson, we're going to start drawing the division off a circle in six equal parts, using a very famous technique. So let's move on. 6. Dividing Circle in six parts | Harmonic Points : Let's find out how to divide a circle in six equal parts. It's a exercise just to get you started. Like I mentioned before, we are now in the face off base lining, making sure that our foundation off knowledge doesn't have any holes in it. So depending on your experience, you could be a beginning or advanced. I just want to make sure everybody have have seen these exercises. So this exercise is about six points. The six harmonic points on a circle. How are we going to find them? So in this exercise, we only need a point, a vertical line and three circles thes other elements that define the required steps to find those six points. There's also the subtle difference in orientation. I mentioned the vertical line that is needed, and you can orient it along a vertical or it was also access. And this other difference can make appear mawr dynamic, orm or static in appearance. When you were at those, they're more sophisticated elements to make it more appealing design. I just wanted to highlight that we're going to just draw it in the vertical version off this, so let's go ahead. Let's start creating this diagram on a separate piece of paper and not in a sketchbook already, because I recorded this video after I already created Page one of the journal Siri's. And so we're going to just add this to a separate piece of paper just to get warmed up. First, draw a vertical line, then place a anchor point on the line, preferably somewhere in the middle, of course. Then draw a circle, and the circle were intersect with the vertical line into areas marked those points as well . The distance between the midpoint in the upper and the lower part is three points, something centimetres. The most important thing is to be very precise and to, ah, position your needle very precisely on the midpoint and make a rotation very smoothly. And those two points and then become the anchor point for your compass to place the need on . And the next step is to add to circles, placing it on the upper point and on the lower point and try circle, using the same radius and draw a circle on both sides. Once you've done that, then you mark those in the section points and you have the mid circle divided into six equal parts. Let's move on and start drawing the two wheel diagrams in our sketchbook. The difference now, though, is that we have constraints. We have a sketchbook, and we have a confined ah space area compared to where we now just have drawn the diagram freely on the page without any constraints. So there will be a small difference. But we first have to lay out our page in such a way that we can fit all the diagrams on the page. So let's first do that before we can start drawing the diagrams. 7. Page prepping: the greater starts with our first page, and I want to organize the building blocks nicely, evenly spaced. To do that, I'm going Teoh measure the with off my first page, which in this case is 21 centimeters and going to use this with as Thebe basis to divide the page into two columns and simple math will tell me that the column will have a with off 10.5 centimeters. So this is also the with and the height off the square because every building block is going to be nicely contained with a circle container, which then be will be placed within a square section. I'm going to create a template, a cut out on a separate piece of paper, preferably a thick piece of paper. So we can you reuse it in every instance where we need a page with six sections and I'm going to just measure out throughout the square on the separate piece of paper, a 10.5 centimeters by 10.5 centimeters as decides 40 square, and they're going to just do that first and then I'm going to just cut it out. And once I've done that, we can use this toe space out the sections on our page. I'm using a rotering triangle ruler, and it's a transparent one with marking sound them so it makes it a bit easier to create those 90 degree angles. And I'm marking the corners off the square with some black ink toe. See the contrast with the actual page, which is also white, So it helps for the video purposes. Toe may see the difference one. Same done with cutting out the square template. I can start measuring the whole page and creating markings and create those six sections. So let me just go ahead and do that first. So I'm starting from the top right corner and going down and creating those sections, and you will see a extra space on the left side, which is in the problem. If you have a different size of caution, just need to readjust for your own dimensions. Just make sure that you take the with off your page as thes starting point to divide that specific number by two to find the with off the square off your template cut out. - So once I'm done with creating those six sections, I want to find the center point off eats section, and I'm going to use across hair to find out the middle point of each section, and and afterwards I'm going to add so containers on each one of those sections. And in my example, I'm using a radius of 4.5 centimeters, and it can differ a bit, depending on the size of your page, and usually it would probably be smaller. But maybe you are using a largest sketchbook, and you off course, then would need to create a larger container toe. Make it all fits nicely once I'm done, adding, those were containers I can just erased everything that it's not needed and we can move on to the next part. I finally start adding those diagrams. 8. Adding first diagram | Diagram #001: Let's start and at the very first diagram toe a sketchbook. The diagram is a three fold wheel, and it basically means how to divide a circle in three equal parts. It's derived from the earlier exercise, where we divided the circle in six equal parts, and this is a subset off that exercise, and it basically just means skipping a few steps. And by doing so, we have a three fold the wheel. Let's get started The first few steps I've already mentioned in the earlier exercise, we have a vertical line with a midpoint in north in the South Point and a circle. And when the vertical light into sex with the circle container, you have these intersection points. I'm going to just create the vertical life first. I already have the container and have it aligned, as I wanted to be in such a way that it doesn't look rocket. And when I have the North and the midpoint, any south point have everything I need to just add a few steps. First step is to take your compass and place the needle point on the South Point and make a rotation in which the distance off the compass is equal to the original containers. So they're the radius is equal to the circle container. And if you place the compass with that specific setting and then make a turn, it will intersect with the midpoint. If everything goes right and also with ah, two points, one on the left, one at the right, off that center line. And when you have that intersection point on the left and right side off the vertical line and you include the North Point, you connect those points with the center point and you have your first real diagram. - And having that, I'm going to add some styling to it. I'm going to finalize with some ink. I'm going to add some color to it and something. It's up to you how you prefer to leave this. I like toe finalize its and at some ink and at some colors to it just to make it look nice . So that's what I'm going to do now. And after that, we're going to move on to the next diagram, which is the 6/4 wheel. - Yeah , 9. Adding sixfold diagram | Diagram #002: let's continue practicing a lot, these basic techniques. We talked already about dividing the circle in six equal points or six equal parts using three circles in total, and we're going to recreate that exercise. But we're going to use partial circle instead of the whole circle because it doesn't fit in the road. And I'm going to go back to that moment where in the previous video we had the accomplish anchored on the fourth point and drawing a curve running through the centre, creating 0.0.3 and five as Intersection Point. I'm going to mirror that movement by translating the compass with exactly the same settings positioning, anchoring it on point number one and making a curve, running through the circle and intersecting it and creating 10.2 and six. And together with the previous curves in total, we have six points on the circle, symmetrically divided, dividing this circle 10. How to draw Three Petals in six steps | Diagram #003: Let's start with diagram number three. And in this Listen, I want to demonstrate how easy it is to create a pattern using the same settings that we have used to set up the circle container, which had a certain radius. And I'm going to just use this setting to create the pattern. And the only important thing is to know where to place you're compass the needle off your compass, to be precise, we have six points to start with. We're going to first in the 1st 2 steps were going toe first start to ah, divide the circle again in six equal parts. And step number two is to add a curve, using the compass with the exact same settings, same radius as Theseus container. And we're going to add that curve by positioning the needle point on point number four and making in turn. So next we're going to place the needle compass on point number two and also after that point number one and just make a turn. Make sure it runs through the center. That that's super easy, right? We're going to add some ink and finalized this diagram, and you'll start to notice by the way. Once I've done that, that there are some imperfections in the drawing. The lines and the curves didn't intersect, probably as I would have liked them to be. And that's okay. I'm going to just common flowers that with some styling, some colors. And that's a lesson also for you that you don't have to worry. Once you make those mistakes, you can always go back and add some colors and some shading to it to really cripple cover, flush all the little imperfections off course. You shouldn't make too much too big of a mistake because that's much more difficult to repair, especially if you finalize it with ink. So if you have done the process right, you start with the pencil or a lead pencil. And first, yes, check if the lines haven't lined up that you just start over again. I didn't do that because I was on the under pressure of, Ah, the camera, and I just totally forgot about it. But that's okay for me as well. It's also a learning experience for me. It just goes to show that you can we all make mistakes, right? We are all here to learn So having said that after adding those inclines, I'm going to add some styling, some colors and then just finalized this diagram and move onto the next one. Oh! 11. Increasing Frequency to Six Petals | Diagram #004: we are going to increase the frequency off the pedals in the next coming growing, Um, we had the three pedals and drawing on the free, using three curves to create this design. And we used the anchor points to four and six. And these points, we're going to redraw this drawing again, using the of course, the Sixfold Foundation. And in addition, we're going toe. Add three new anchor points or we're going to use three new anchor points because the points themselves already exist, of course. And they are 30.13 and five, three 135 And let's just go through the steps in the animation. Starting from Point Number three, we position our compass the needle point on anchor Point number three and make a curve. And make sure, of course, that all the settings are staying still the same. So the distance should be in such a way that need or the left point passed through the center, and we then translate the compass to point number five and make a rotation around five and last. Lee, we position the needle point off 0.0.1 and make curve, and by then the drawing is done structurally, we're going to add some styling, some blue shades to it a dark blue and a light blue styling to it. And let's play the video. Yeah, okay. 12. The Middlepath Technique : you have times where things get very extreme and you want to find the middle point. Where is the balancing point? Their point Where everything finds arrest, you have these two extremes and you'll find you want to find the middle ground well in geometric design. We haven't technique to find the middle ground, and the middle path is the way I called it. And it's the straight path through the center. And like I said, you have these two extremes at both ends. You have A and B and they're pulling it at each other and you want to find the middle ground. Where is the peace? Dissented The balance. Let's see, We have two objects that I, um, that I have in front of me two circles of the same size, and somehow somewhere they intersect in such a way that these two circles balance each other. And there's this moment where these two intersecting they find a middle ground. How wonderful is that? It went quite quick, and that's OK because we're going to go food. Two steps. The two circles that intersect each other at a specific distance relative to each other is defined by the with or the length off the line and the radius of the circle. So we have the length off this line, this specific line in this example, and then the only thing we need to do is find out what should the radius of the circle be. And it is a very simple answer because it's defined by the two ends off this specific line as well. So we need to anchor the needle of the compass of one end of the line and the other part off the compass. We have toe extended to the other side off this line, and then we will have our radius off the circle. And when we then make two turns one on one side of the line and one on the other side of the line, you automatically have a intersection where you then just need to connect the intersection points, and it will run through the center off this specific line that we want to divide by half. Let's practice this diagram. I'm going to use a separate piece of paper to draw this diagram, and I'm going to draw two versions and going to start with the first version, which is the horizontal version, and we're going to use a horizontal line to create this diagram. And we're going to just follow the steps that have just shown you in the animation and start drawing this first diagram. All right, - And now that I've finished the 1st 1 I'm going to show you the difference by during its in a different orientation. And this one is going to be oriented along a vertical access, just to show you the different ways you can divide a, ah bisect a straight line. And that's why I'm just going to orient this one differently. So let's go ahead and do this as well. - So I have shown you the two versions, one line segments horizontally divided by two and one version where the vertical line was divided by two. And I'm showing you the line at a certain angle, divided by two. And why I'm showing this is that In later drawings in the journal Siri's, we were encounter moments where we have ah line segments that we still need to divide by two. But the line itself is at a certain angle, and it can be confusing if you don't notice it If you focus on the land that you want to divide by two, you focus on the two endpoints to extremes. They in a B point, notes that it always stays the same. You need your compass, the needle point, position its Anchorage on ah for insist on B and then extend the lead to, ah to reach point A and make a curve and then do that exactly the same at the other side. So Anchorage, then on point A and make sure step the left foot is still reaching touching point B, make a curve and ah, I think goes all right. You have these two intersection point and they can connect them and you will get your mid point, as we have done a few times now, it will be something that you encountered in later drugs. I wanted to highlight this, that at certain angles it still is the same principle. So having said that, let's move on to the next part 13. Three Circles | Diagram #005 : in this lesson, I will be adding circles half the size off the larger circle container arranged along a threefold symmetry. My starting point is going to be based on the six points and spokes on a wheel diagram. Let's take a look at the geometric logic behind building this design. Let's say you start with the six points on your circle and you label the North Point with number one and at a new number counter clockwise. I want to find the midpoint between the center of the circle container. And yet, because I want to fit in a small circle exactly in between these two points, how would I find this point? First of all, now, the solution is you need to connect points two and four with a straight line and marked the point where the spoke and the line intersect. This point is exactly halfway between the edge in the middle of the circle container. Place your compass needle on the anchor point that you've just marked. Extend the compass lech till it reaches point number three and the middle point. This distance will be the radius off the small circle that we will be using draw a circle, and before you do, check if the circle will pass through the middle of the circle container. Adjust your anchor point slightly, if possible. A recalibrate if it doesn't match up exactly to illustrate where the other two anchor points are located on the six spokes, I need to continue during the guidelines from 60.4 to 6 and from six to number two. These three lines form a triangle pointing downwards. Where the triangle intersects with the spokes is where the anchor points are. You can also choose to transfer the radius from the first and reuse it on the other spokes . That minimizes the amount of lines in the drawing, which helps to keep the drawing clean and simple and helps you keep a good overview off what you are doing. Once you've just finished all the steps, year basically done, and we can continue tracing all the lines with a Inc fine liner. I also want to add a last circle once I'm done tracing all the lines, and this circle is going to be exactly the same size as the other three circles, and I will place the anchor point exactly in the middle off the larger circle container. And mathematically, this will coincide with the three anchor points. As you will see, we've come to the last part of the structural design, and I'm going to move on to add some styling to the diagram. And I also wanted to highlight the moment where we found our first anchor point. And I wanted tojust mention this because I also did so in the previous lesson where I talked about a application off the middle path technique in a angled version so at a slope , and that this exercise had also exactly this principle. But we kind of skipped over it because I just said, Connect two and four and six and you will create a triangle, and the intersection with those spokes will generate those anchor points. But in actuality, what makes this work is because there is the principal of the middle path technique, which makes the connection work in the way. So having mentioned that, we can move on and start designing part and finish up this drawing 14. The Architecture of Seven Circles : before we go and started drawing in the sketchbook. I wanted to draw this Ah, beautiful pattern off six circles around the Centre Circle. I wanted to draw it on a separate piece of paper. Just show you how a simple this parent actually is if you don't considered the constraints off, putting it exactly centered within the circle container. So I just want to try. Let thes aspects off it, and I want to play the animation and then the actual drawing on a separate piece of paper and just really a draw this throwing. And then we'll go back to our drawing its inside our sketch book, which is a bit more technical because we have to align it within the circle and and it has a different approach to it. It's Your metric diagram is born from the single heavily unit circle as it replicates itself six times perfectly, balancing its center with the outer circles. It's an abstract representation, also widely known as the seed of life. This beautiful diagram is related to a deeper on the standing of the seven basic stages off creative process. The symbol hasn't direct connection to the new American number seven, which appears both spiritual aspects as well as in daily life. A few examples. The seven musical tones. The seven chakras, the seven heavens, the seven days of the week. The diagram functions as a stepping stone to hire pattern formation, which will be for later exercises are Focus for now will be to just draw this civil in order to experience the harmonious mindset from this diagram, we encountered already a partial version in the lesson about how to divide a circle a six equal parts which used to have three circles. This time we will use seven circles instead to complete the whole diagram. 15. Seven Circles | Diagram #006: So we're going toe. Add our final diagram toe our very first page. This diagram. It looks exactly the same, but the difference and the challenge off adding it's to our sketch book is that it is constrained within a circle, so the direction is inward. We start from a boundary and then we have to fill it in with this specific pattern. In contrast, the previous lesson We had all the free space to start from the center circle and expand outwards, and this direction is much more easy because of the freedom we have. You can choose any radius as a center units as a center building block, and from there we could expand outwards. But now that we have a circle container that is different now, so it has a different drawing technique and I'm going to go into it. And I also wanted to highlight a characteristic off this pattern in which they is Actually , You could also view it as a pattern that is built up off two modules. Ah, the first model is the three circles pointing upwards and a second pattern a seconds building block, which is also three circles pointing downwards and We're going to mercy to these two together into one pan in. And this is the theme off the structure as I've structured the first page, where we have a left and the right column where the right column is in multiple off the left column, and that is something that comes back in this diagram as well. And I wanted to highlight that. So let's go into the approach that I have chosen. I'm going to use a starting point. Diagram Number five. I'm going to skip a few steps. We have already gone through them in diagram number five, and we need three intersection points to add those three circles. Those intersection points are located where the circles intersect with the's spokes. This is highlighted in red, and we need three points. So we're going to highlights those intersection points, so it is quite straightforward. And once you have those intrasection points, you can actually just add those three circles, and I'm going to do that as well in this exercise. The only difference is I'm going to just use one point as my starting points, which is the first intersection point to find the very first circle and I'm going toe. Add it progressively and it is a more practical techniques and it's also a little bit more shaky. You will quickly notice that I will have some imperfections later on in this exercise. So in the one hand you have a method that it's a bit more quick and practical, but you don't have those control mechanisms, as I've just shown in the animation where you could reference back and forth, check if the control mechanisms off the counterbalance circles. If everything is lined up correctly and using this method, it is quicker but at the same time less accurate because you don't have those checks to, ah, control those balances and to see if everything is done correctly. So I'm adding the circle on top of each previous circle, and each circle just generates its own intersection. Point for the next circle until you have the full circle. We have finished our drawing and I'm going to add some styling using some ink. Like I said, my diagram isn't perfect and I have to adjust using the ink to ah, put everything in order any proportion again and you also using some colors to just cover floor some of the faulty steps that I've done and to mask all the imperfections. And that's just perfectly fine as long. It's not totally out off proportion. You can always just adjust for with some coloring, some styling, using some ink. Having said that, I'm going to finish up this whole throwing. Oh, okay. - No , - no . 16. Recap & What's Next: Let's recap what we have learned so far on this page, and let's also go into what will be coming next in Page two and Patri. We now have a library off geometric designs, and it's nice to have it because it's something we can use to build up different kinds of other designs. We also learned about techniques. We have a few techniques so far. We learned about the three Circles technique, which divides the circle in six equal parts. We learned about the middle part of technique, which is a way to find the middle point between two extremes, and we used it in different angles, and we applied it to a pattern on the third row of the first page. And we also learned about the seat of life technique, the pattern which consists off seven circles. We talked a little bit about the implications off what it can do later on, generating higher complex parents and also a little bit. I went on a more spiritual level, how this is something that we find in our world around us in our way, how we organize time, for instance, and we also learned about the more general strategies to create patterns by increasing frequencies. We organized our page in such a way that the left column and you're right color was in a synergy or in a relationship in which the right color was a multiple of the left column and how the three in a sixfold, how they were interrelated by just increasing frequencies. You could also already see how patterns will arise from them. The overall i d off the first place was to present a system the way a way of thinking about how to start from scratch, how to approach a problem when you have a blank canvas. How do you approach this problem of a blank canvas? You want to create a very nice looking pattern and how we we approach it by thinking in terms of assisting, which we have different layers, which are stacked on top of each other. And we started from the bottom up, and we started from how to divide the circle, which helps to find those harmonic points and from there, and we could generate MAWR and more steps. Talking about design systems instead of specific patterns was to help you create different kinds off patterns and help you to understand how parents arise t how to deconstruct them in such a way that you later on understand the components. And once you understand the components by themselves taking them apart and they're rebuilding them, putting them to get it, we will start to see that this complexity at first site isn't that complex It all by just analyzing different days we have talked about, We now have a firmer understanding and on the next page we will go into a different category. You will start to use for an eight fault geometry and this is very similar in terms off the process, the steps, the strategies that design techniques. This whole process that we've gone through on the first page will go recreate on the second page on the third page will combine basic elements from Page one, and this is the part which gets a bit more interesting in terms of aesthetics. We will create a advanced design parent which looks pleasing to the eye, and we will just give you an understanding the relationship between complexity and simplicity. If you have any feedback, please let me know below this video. If you want to share your work. You can do so on your profile, Page or timeline. Ah, I would love to see some of your work as well. Maybe already have some variations. Please share your work with us in the description box. I will provide links to exercise files just in case you want to start first on a separate piece of paper instead off starting in your sketchbook and also links to downloadable files off the animations and slides. Just in case you don't have Internet at some point and you want to look up the information again. Very useful to have. And having said that, let's move on to the next course.