Buttonhole wheel stitch is a variation of the buttonhole stitch / blanket stitch. Here buttonhole stitch is worked in circles.
I am going to show 2 variations of this wheel stitch.
Draw the circle and bring the needle up on the circle. Stitch a buttonhole stitch by going down at the center of the circle and coming back up on the circle.
After this step, you will get the first spoke of the wheel. The first spoke looks incomplete but we will lace the last stitch through this so the first and last stitch will be joined seamlessly.
Now the second spoke of the wheel is stitched with yet another buttonhole stitch. Note how the working thread is under the needle.
Continue adding spokes at regular intervals.
If you want perfectly spaced spokes, you can also mark the spots on the circumference of the circle.
When the last stitch has been made, lace the needle through the first stitch as shown below.
Now simply go down in the center.
Wheel is ready. This is usually used in embroidered floral sprays.
Here is a second version of the wheel. It is stitched between two concentric circles.
Come up on the outer circle. Now stitch the buttonhole stitch by going down on the inner circle and coming back up on the outer circle. Loop the threads under the needle.
End it exactly like we did in the first version by lacing through the first stitch.