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How to draw an almost perfect large Circle

Discussion in 'Tracks' started by Rey827, Mar 18, 2015.

  1. Rey827

    Rey827 Active Member Official Author

    Awarded Medals
    WARING! This tutorial is for the dedicated!
    People wanting a quick circle may be disappointed.

    When I was working on my track (that I may not finish for a very long time), I decided that I wanted to add a drawing of the earth as a decoration, but I was having trouble drawing a good circle. This tutorial well help people in the future draw almost perfect large circles.

    The first thing that comes to most people's mind when drawing a circle is this.
    Show Spoiler
    [​IMG]

    This is actually the exact same curve that is made using the curve tool.
    Show Spoiler
    [​IMG]
    A picture of the line shifted one space down and to the right
    [​IMG]

    However, when you connect four of them together to make a circle, the circle doesn't look quite right.
    Show Spoiler
    [​IMG]

    When paired to a real circle, it becomes more obvious.
    Show Spoiler
    [​IMG]

    That's because these curves are not quarters of a circle but are Bézier curves which are parabolas. nin10dorox explains it Here.
    The trick to creating a circle is to create a regular octagon.
    Show Spoiler
    [​IMG]
    The centers of each side are important too.

    Lets start.
    1.
    First start creating the square that will circumscribe the circle.
    The first step is to mark your center
    Show Spoiler
    [​IMG]

    2.
    Next draw a line from the center. This is also the radius of the circle. Use the grid to count the number of spaces as you will need this number later.
    Show Spoiler
    In this example the radius will be 46 spaces.
    [​IMG]

    3.
    Use the grid to create a 45 degree angle. This will be the top right corner of your square.
    Show Spoiler
    [​IMG]

    4.
    Do the same thing for all sides. The grid is your friend here.
    Show Spoiler
    [​IMG]
    The diagonals are important.

    5.
    This is were you use a bit a math.
    Show Spoiler
    Multiply your radius, in this case 46, by sqrt(2)/(2+sqrt(2)) for the exact number or .414 for a close enough approximate.
    I got 19.05 but it's okay to round to 19 spaces.
    [​IMG]

    6.
    Do the same for the top
    Show Spoiler
    [​IMG]

    7.
    Draw straight lines from the side and top to easily mark, in the case, 19 spaces, on each side.
    Show Spoiler
    [​IMG]

    8.
    Use the diagonal to help with the other sides.
    Show Spoiler
    [​IMG]
    [​IMG]

    9.
    After you mark everything, it should look like this.
    Show Spoiler
    [​IMG]

    10.
    Next, draw a diagonal from the, in this case, the 19 mark from earlier.
    Show Spoiler
    [​IMG]

    11.
    Continue with all sides.
    Show Spoiler
    [​IMG]

    12.
    You now have every point need to finally start making your circle.
    Show Spoiler
    [​IMG]
    You have finally created a regular octagon with the middle of each side marked.

    Lets start making the circle!
    13.
    Take curve tool and connect two centers together with the third point clicked on the vertex.
    Show Spoiler
    [​IMG]

    14.
    Do the same thing throughout the entire octagon.
    Show Spoiler
    [​IMG]

    15.
    Almost there. Now just erase all the guidelines from before.
    TADA!
    Show Spoiler
    [​IMG]

    As you can see, there is almost no difference.
    Show Spoiler
    [​IMG]

    The trick is to use a regular octagon meaning, every side is the same length. You also have to know where the center of each side is. If you can do it in an easier or faster way then great, just use steps 13 - 15 and you should be good. This is just the way I found works well.

    I hoped this tutorial helped people make better circles. It should work for any large size, but I haven't tested it yet.

    The only reason I say almost a perfect circle is because it technically is impossible to create a perfect circle using Bézier curves, but it is possible to create an almost exact approximation.
     
    Last edited: Mar 18, 2015
  2. Rey827

    Rey827 Active Member Official Author

    Awarded Medals
    Good night. It's 2 AM where I am.
    What am I doing with my life?
     
  3. ThreeAreFour

    ThreeAreFour Well-Known Member Official Author

    Make the images smaller so that people with weak internet connections, like me, can load them in a reasonable amount of time. There's no need to have images at 2000x1000 or 5000x2000 when a tenth or twentieth of that would work well enough, especially with how many images you have. Other than that, it looks like a creative way to make a circle. I'll be able to finish reading it when the images aren't twice the size of my laptop screen.
     
  4. Rey827

    Rey827 Active Member Official Author

    Awarded Medals
    You're right I didn't think of that.
    The images are direct screen shots from my laptop but I can change them.
     
    Cerasium, gun and Minus like this.
  5. ThreeAreFour

    ThreeAreFour Well-Known Member Official Author

    I'm pretty sure at least one of the images was 5000x2000, that was a screen shot? But alright, looking forward to it.
     
    Cerasium likes this.
  6. Elibloodthirst

    Elibloodthirst DeadRising2 VIP Team Helicopter Forum Member Of The Decade (2014-2024) Official Author

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    or you could just steal that large one made by maxime in 2009.

    #Lazyasfuck #Yolo
     
  7. Cesar

    Cesar Well-Known Member

    but how do you steal it tho
     
  8. Max007x

    Max007x Forum Moderator Staff Member Administrator Forum Moderator VIP Official Author

    Awarded Medals
    Well you could steal my code from canvas rider and delete everything but the circle, but that might be a bit of work ;)
     
  9. Cesar

    Cesar Well-Known Member

    nah man i got this gimme the code im ready i prepared my self cause it's gonna be salty up in here, wait holp up is it the track in a circle contest?
     
    Cerasium likes this.
  10. weem

    weem FREE RIDER LEGEND Elite Author Team Blob Official Author

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    FRHD should have a circle contest actually hosted by Char and Eric so we can get legit prizes :thumbsup:
     
  11. Cesar

    Cesar Well-Known Member

    CR much...or track in a circle or just who can make the closest to a legit circle
     
    Cerasium likes this.
  12. crane

    crane Well-Known Member Official Author

    Awarded Medals
    ha go back to cleverland nerd
    ps good post - you brought drawing circles in a bike game into the realm of autists
    pps dwebozoid
    ppps make more like it like how to make a perfect spiral or somethin
    pppps pfft nerd
     
    Cerasium, gun, CityShep and 5 others like this.
  13. feels

    feels Member Official Author

    Or you can just take the easier way and take the one i made so i can spare you the time taken to make it, took me 5 mins btw

    68 -4c 68 -4m 66 -59 62 -5s 5t -6e 5l -70 5c -7h 50 -81 4j -8g 4c -8o,0 -ak a -ak t -ai 1g -ae 22 -a9 2k -a1 35 -9o 3l -9c 44 -8v 4c -8o,0 -ak -a -ak -t -ai -1g -ae -22 -a9 -2k -a1 -35 -9o -3l -9c -44 -8v -4c -8o,-68 -4m -66 -59 -62 -5s -5t -6e -5l -70 -5c -7h -50 -81 -4j -8g -4c -8o,-68 -4k -67 -42 -65 -3m -63 -3b -61 -30 -5u -2l -5r -2b -5n -21 -5j -1n -5e -1e -59 -15 -53 -s -4t -k -4n -c -4g -4 -4c 0 -44 7 -3l k -35 10 -2k 19 -22 1h -1g 1m -t 1q -a 1s 0 1s a 1s t 1q 1g 1m 22 1h 2k 19 35 10 3l k 44 7 4c 0 4j -8 50 -n 5c -17 5l -1o 5t -2a 62 -2s 66 -3f 68 -42 68 -4c,-68 -4n -68 -4j##
     

    Attached Files:

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  14. Sltg28

    Sltg28 Well-Known Member Team Helicopter Official Author

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    It isn’t perfect
     
    Cerasium likes this.
  15. Blank_Guy

    Blank_Guy Forum Legend Team Balloon Official Author

    uh holy poo
     
    Cerasium and GravityGhost like this.
  16. CK9C

    CK9C Well-Known Member Team Helicopter Official Author

    or you could just draw a circle normally. but hmmph
     
    Cerasium likes this.
  17. extremonomia

    extremonomia Active Member Official Author

    i descovered that you can use the grid and you can draw a full perfect circle
     
    Cerasium likes this.
  18. Elibloodthirst

    Elibloodthirst DeadRising2 VIP Team Helicopter Forum Member Of The Decade (2014-2024) Official Author

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    It's never perfect
     
  19. Methodical

    Methodical Well-Known Member Official Author

    nothing is ever perfect
     
    Cerasium likes this.
  20. Pine

    Pine Active Member Official Author

    except me ofc
     
    Cerasium and pawflix like this.

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