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I want a coordinate system that is kind of radial/circular and it should have no visible border, mirroring or repetition of any kind. I did my best to search, but only found a few things about polar coordinates. This was of course not helpful. I have tried previously, and these are the only two that I was able to create.

enter image description here

In this, as one can see, the problem is the clearly visible border.

enter image description here

This one does not have any, border but the issue is that it's mirrored.

Is there a way to avoid any of these issues?

(I know about mixing a gradient texture with the coordinates, but that does not give accurate circular coordinates)

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    $\begingroup$ A Polar coordinate system will allways break at 2Pi...But that is not really an issue, as long as the texture/shader that will be mapped in to these coordinates is seamless near both ends. $\endgroup$
    – Secrop
    Commented Jul 17, 2023 at 15:09
  • $\begingroup$ @Secrop I am trying to apply a procedural texture. Now since those are not seamless is there any way to avoid the borders or is what I am trying to achieve just impossible? $\endgroup$
    – The Kalaakaar
    Commented Jul 17, 2023 at 15:16
  • $\begingroup$ The procedural texture must tile at 2Pi [or in 0, 1], and then the seam will be gone. If not then you are bit out of luck.. You could try to turn the coordinates into a spiral, and then blend the upper cut with the lower cut. $\endgroup$
    – Secrop
    Commented Jul 17, 2023 at 20:10
  • $\begingroup$ Can you give an idea of the problem you're aiming to solve this way? $\endgroup$
    – Robin Betts ♦
    Commented Jul 18, 2023 at 7:53
  • $\begingroup$ @RobinBetts There are actually about 15-20 effects I want to create. I abondened most of the projects. One example would be the iris. Most youtube videos use an image texture or a few of them have set the type to normal in the mapping node. These tricks don't work the way I want them to. They aren't customizable enough. I am probably going to delete this question as the more that I think about it the impossible it seems to get rid of the seam or the borders. $\endgroup$
    – The Kalaakaar
    Commented Jul 18, 2023 at 7:59

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If you pop into 3D, you can pick up coordinates which are seamless there, and map those to a flat circle, one way or another:

enter image description here

Here, the wall of an (imaginary) capless cylinder is tapered to a cone, and then flattened to a circle. The mapped texture can be varied from radial to circular by adjusting the height of the cylinder ( the Length -> Z multiplier).

It might be the basis of various seamless circular effects, for your purposes.

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    $\begingroup$ Thank you so much $\endgroup$
    – The Kalaakaar
    Commented Jul 18, 2023 at 16:07

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