Question: [![Hypnotic spiral](https://i.stack.imgur.com/aEWT7.jpg)](https://i.stack.imgur.com/aEWT7.jpg)

I'm looking to replicate this spiral pretty much exactly, but with perfect curves etc. using Illustrator. I've tried a few different methods including twist and also just the spiral tool but can't seem to get this exact shape. Any help would be appreciated.

Thanks!

Answer: 
I would redraw over the top of the image manually using the Curvature Tool. You can use extra anchors to try to achieve a more accurate curve as the spiral gets tighter in the middle. It could also be done with the Pen Tool if you are familiar with it.

For example

[![enter image description here](https://i.stack.imgur.com/I1tRO.png)](https://i.stack.imgur.com/I1tRO.png)

For more detailed info here's [Adobe's help page](https://helpx.adobe.com/illustrator/using/drawing-pen-curvature-or-pencil.html) for the Pen, Curvature, and Pencil tools.
You have already got another answer that says "draw it" and that's the way to quite close replica. Illustrator's spiral isn't an exact replica but with careful settings and gradually widening custom stroke (=art brush) you can make something which can be near enough.

An example: Draw a spiral with the spiral tool:

[![enter image description here](https://i.stack.imgur.com/hFYsb.jpg)](https://i.stack.imgur.com/hFYsb.jpg)

Make an art brush. I drew a rectangle and moved its top right corner so that the right end height is about 25% of the original. Apply the brush to the spiral:

[![enter image description here](https://i.stack.imgur.com/8aQwD.jpg)](https://i.stack.imgur.com/8aQwD.jpg)

The brush width is scaled smaller. It's width wasn't designed with measurements.

Draw a circle. Make a copy of it pasted on the same place.

[![enter image description here](https://i.stack.imgur.com/kkrYF.jpg)](https://i.stack.imgur.com/kkrYF.jpg)

That circle can be used in several ways

1. It can be a clipping mask for the spiral and the copy can be an outline and differently colored background

[![enter image description here](https://i.stack.imgur.com/DUsNX.jpg)](https://i.stack.imgur.com/DUsNX.jpg)

2. It can be used to make an intersection after expanding the appearance of the spiral. The copy can be differently colored background.

In the next image there's no intersection, but the areas are filled with different colors with the Shape Builder and the extra piece is deleted (=hold Alt with the Shape Builder)

[![enter image description here](https://i.stack.imgur.com/CQCh5.png)](https://i.stack.imgur.com/CQCh5.png)

I guess your image is a photo of an existing physical spherical piece. To get the 3D look you must add shading and some gloss. It's far from trivial if you expect some plausibility. I skip it.

In a 3D program you can make a model of that piece by subtracting a several turns twisted extruded plane from a spherical surface. Or at least using that plane to define the coloring areas. Illustrator's 3D cannot do it. I have tried it in an older case:

[How to make wrap ribbon](https://graphicdesign.stackexchange.com/questions/95528/how-to-make-wrap-ribbon)