truegold Posted January 19, 2016 Share Posted January 19, 2016 Hi all, (Sorry I misplaced this in feature requests earlier) I'm trying to create a golden spiral within the golden mean rectangles. I have the rects laid out and look perfect. So I need to add the arcs within each rect for all the rects. But not easy because there's no arc tool. The line tool sort of works. But I need the arc constrained to a perfect diagonal curve that is the same within each rectangle. I've tried using the line tool and controlling the nodes... But I cannot get the smooth consistent arc so that the illusion of the spiral is consistent from rect to rect. So this must be seriously easy and I am missing something. Maybe there is a mathematical property I can impose upon them? Please tell me what I am missing or how I am not handling the tool correctly? Appreciate, John... Quote Link to comment Share on other sites More sharing options...
JimmyJack Posted January 20, 2016 Share Posted January 20, 2016 Hey John, Make sure your handles are pulled out constrained to horizontal or vertical. Most importantly though... make sure the handles are in Smooth Mode (iow not independent of each other). Take a look at mine to see how far I pulled them out. I'm sure there is something mathematical... I just did it by eye. Quote Link to comment Share on other sites More sharing options...
crabtrem Posted January 20, 2016 Share Posted January 20, 2016 I found this video link. I have not even looked at anything else, but found this very interesting. Not the great work provided by JoePoe. But an interesting video. https://youtu.be/84Ln8S1u4VY JimmyJack 1 Quote Link to comment Share on other sites More sharing options...
A_B_C Posted January 20, 2016 Share Posted January 20, 2016 And don’t forget about the power of Power Duplicate … I used a quarter-circle approximation, so you might have to adjust the spiral segments afterwards. And perhaps this thread is of interest for you as well: https://forum.affinity.serif.com/index.php?/topic/8485-how-to-draw-a-spiral/ I outlined the Power Duplicate method here with another example … :) Alex Power_Duplicate.mov Quote Link to comment Share on other sites More sharing options...
truegold Posted January 20, 2016 Author Share Posted January 20, 2016 HI all, Thanks for the replies. Busy today but I'll try to get to each suggestion in the evening and let you know how it went. Appreciate, John... Quote Link to comment Share on other sites More sharing options...
JimmyJack Posted January 20, 2016 Share Posted January 20, 2016 Thanks crab! So that's how it's done :) So... if you want to be perfect AND your square(s) layout is perfect, then, with AD snapping, putting is the quarter circles should be ..... well,...... a snap :lol: . You could use the Convert to Pie function, but it's just easier, imho, to draw out the full circle and delete the 3/4 you don't need. Then join up the ends of each arc. But if 99.85% perfect is okay, it'll take you a fraction of the time to draw just one continuos curve (also using snapping). Quote Link to comment Share on other sites More sharing options...
truegold Posted January 21, 2016 Author Share Posted January 21, 2016 Hi all, After experimenting I settled on this approach: 1. Create a square 500px. 2. Duplicate square 3 times creating a 2x2 grid. 3. From the center of the grid create a circle within the grid boundary. This create a perfect arc within each square. 4. Select them all and Divide into shapes (will allow me to color fill segments later). 5. Delete the other three squares and arcs. Only the first one will be left. 6. Now Alt+Cmd and duplicate, position, resize to 309px, and rotate once to the right. 7. Power duplicate (Cmd+J) as many as needed. Perfect!!! I couldn't figure out how to add an attachment (although I have in the past?). I added the image to dropbox. https://dl.dropboxusercontent.com/u/3003109/Golden%20Spiral.jpg Power duplicate is amazing!!! Hope that helps someone else. Thanks everyone for your help. John... Quote Link to comment Share on other sites More sharing options...
crabtrem Posted January 21, 2016 Share Posted January 21, 2016 I wrestled with the file attachment for awhile too. Instead of creating a post reply at the bottom, the first choice. Go up to the top of the top of the topic. You will see a button on the right side that says reply to this topic. Selecting that method will give you an option button to upload and add attachments to the topic. Quote Link to comment Share on other sites More sharing options...
JimmyJack Posted January 21, 2016 Share Posted January 21, 2016 Hi all, After experimenting I settled on this approach: 1. Create a square 500px. 2. Duplicate square 3 times creating a 2x2 grid. 3. From the center of the grid create a circle within the grid boundary. This create a perfect arc within each square. 4. Select them all and Divide into shapes (will allow me to color fill segments later). 5. Delete the other three squares and arcs. Only the first one will be left. 6. Now Alt+Cmd and duplicate, position, resize to 309px, and rotate once to the right. 7. Power duplicate (Cmd+J) as many as needed. Perfect!!! I couldn't figure out how to add an attachment (although I have in the past?). I added the image to dropbox. https://dl.dropboxusercontent.com/u/3003109/Golden%20Spiral.jpg Power duplicate is amazing!!! Hope that helps someone else. Thanks everyone for your help. John... Ah, so you went with the straight up math... 1 to 1.618. Nice. Are those pieces connected? Quote Link to comment Share on other sites More sharing options...
truegold Posted January 21, 2016 Author Share Posted January 21, 2016 Hi crabtrem and JoePoe, First thanks for the answer to how to add attachments. And JoePoe, yes I used the exact ratio, so that when I scaled it down and power duplicated it applied it is decreasing scale sizes. It was amazingly perfect. Currently they are all separate pieces. I used this as a logo and the arcs have various colors assigned to them. So this approach provides the flexibility. Again, thank you to all for your help. Appreciate, John... Quote Link to comment Share on other sites More sharing options...
JimmyJack Posted January 23, 2016 Share Posted January 23, 2016 A little after-the-fact fact :D Just came across this in the cheat sheet pdf found here (which I highly recommend to everyone). On the last page are a handful of expressions... On any object, just paste gr*h into one of the dimension fields in the transform panel and it'll give you the golden ratio. (works off of the object's bounding box so it works on odd shapes too). R C-R and crabtrem 2 Quote Link to comment Share on other sites More sharing options...
R C-R Posted January 23, 2016 Share Posted January 23, 2016 JoePoe, thanks for mentioning the gr*h expression -- I knew about the simple relational ones like h+30 but had forgotten about the others. Since the golden ratio is actually an irrational number, I wonder how it is calculated & applied internally in the Affinity apps. That shouldn't make any difference for pixel-aligned documents but I suppose it could cause some minor alignment problems with vector shapes. Regarding adding attachments to forum replies, one way is to click the "More Reply Options" button at the bottom of the reply frame. That adds the missing "Attach Files" section that is missing if you just start typing in the reply text box. Quote All 3 1.10.8, & all 3 V2.4.1 Mac apps; 2020 iMac 27"; 3.8GHz i7, Radeon Pro 5700, 32GB RAM; macOS 10.15.7 Affinity Photo 1.10.8; Affinity Designer 1.108; & all 3 V2 apps for iPad; 6th Generation iPad 32 GB; Apple Pencil; iPadOS 15.7 Link to comment Share on other sites More sharing options...
Oval Posted January 24, 2016 Share Posted January 24, 2016 I suppose it could cause some minor alignment problems with vector shapes. Don’t worry, the square root of 5 is no problem. ;-) Quote Link to comment Share on other sites More sharing options...
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