0

i want the spiral to tighten towards the end. It should have the shape of the blue triangle. How can I make this happen? However, the spiral itself should still look natural. The spiral should in the end look like the one in the last picture (become extremely tight towards the end)....

Thanks for your advice! enter image description here enter image description here

5
  • Here's one graphicdesign.stackexchange.com/questions/155878/… The questioner asked conical overall shape and constant attack (=climbing) angle, but that implies increasing turn density.
    – user287001
    May 4 at 19:33
  • I think in illustrator i do not get the desired result with this tutorial... is wrap grid also an option? or an object distortion?
    – Silvan
    May 4 at 19:38
  • The Illustrator version is not especially good. The resulted curve is not a single stroke, it's splinters of filled areas which in small size may look a curve, but close look reveals Illustrator's math inaccuracy - there's for ex. thickness variations Besides the whole construction is a kind of piecewise approximation of the CAD version. It's not at all impossible to get vector images from proper 3D programs (even from this simple freeware CAD) to Illustrator. I have shown numerous examples of it in this site as you also surely have seen. BTW the sharp tip is not realizable (infinite density)
    – user287001
    May 4 at 20:07
  • @user287001 you do understand that all splines are piecewise approximations (besides illustrator can not even make a true circle). Thats kindof the point of using them. Anyway you can graph inside illustrator if you wish.
    – joojaa
    May 4 at 20:26
  • Yes, but Illustrator's graphic user interface without scripting nor extensions isn't especially handy for graphing - I do not wish strongly enough to force myself to start math formula driven graphing in Illustrator. Illustrator may use piecewise approximations to draw my spiral which contains piecewise approximation at one level higher.
    – user287001
    May 4 at 20:43

2 Answers 2

1

enter image description here

This seems to give the results you were wanting

0

Seemingly you have got an answer which does the trick. Here's another. Basically it's the same - repeating logarithmically scaled copies of a single turn. That's because to get a conical seamless pattern by chaining scaled copies of a simple shape one must scale the copies logarithmically. That's a math fact.

But I have an easy to make approximation for the turn.

enter image description here

  1. Draw an ellipse

  2. Split the ellipse with the scissors to 2 halves at the waist nodes. Drag the bottom half narrower so that only the right side moves

  3. Select both halves, rejoin them by pressing Ctrl+J. Make a scaled copy. Use Object > Scale > Uniform > Copy and press Ctrl+D to get more copies. The scaling factor in the example is 80%. In my example there's the original + 9 copies.

  4. Build the spring by moving the copies. I didn't try to place the copies automatically. I moved them one by one. To do it perfectly select a copy and change temporarily to the white arrow by holding Ctrl. Drag a node to snap. The rest of the shape follows if you have not clicked anything else. Have Smart guides and Snap to point ON for exact snapping. Join the pieces by Ctrl+J.

enter image description here

  1. Make a longer spring by inserting a scaled version of what's got in phase 4. The scaling can be exact. In my case I scaled at first to 80% (=the same as for scaling the turns). Then I clicked Ctrl+D nine times to get one step smaller copy than the last turn of the tiled spring.

  2. To get a little clearer narrow end: Join the parts, select a narrow stroke and make the starting end wider with the Width tool.

In theory the narrow end cannot be made perfectly sharp with this tiling principle because it would need infinitely turns. One can in practice stop when the tip is visually sharp enough.

Colorizing with a gradient may create more 3D-like illusion. But it's useless for thin strokes like this

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.