Regarding the article I wrote the other day about the ZIPP hub

I wrote that the spoke angle would be the same between 36H 6-cross and 24H 4-cross,
but regarding that,
I received a comment saying:
"About the part where you said 36H 6-cross and 24H 4-cross have the same spoke angle—
I had some doubts, so I'd like to ask.
Based on my calculations, the angle of the holes through which spokes pass from the hub center
(the angle drawn with red pen in the image) is 100 degrees for 36H 6-cross and 90 degrees for 24H 4-cross,
but what calculation method are you using?"
You're absolutely right. I was mistaken. I'll correct the original article as well.
I had mixed up degrees and radians.
What's actually the same is the spoke length.
When XH Y-cross configurations have the same result from X÷Y, the spoke length will also be the same.
If the rim and hub are the same, then 36H 6-cross, 24H 4-cross, and
600000H 10000-cross will all have the same spoke length.
I made the mistake of thinking that because the final crossing line segment (=spoke) length was the same,
the angles would also be the same.
Thank you for the comment.
By the way, if you can set up the calculation formula for 600000H 10000-cross,
you can calculate the spoke length from there (excluding various correction values).

I made a diagram of 600000H 10000-cross, and
when the aforementioned X÷Y equals 6,
the angle is 90° at 24H and 100° at 36H,
but at 600000H it's approximately 120°
(when the number of holes approaches infinity it becomes 120°)
yet the spoke length is the same in all cases.
Since the angle between the final crossing line segments is different, the angle of the auxiliary line
connecting the hub-side hole and hub axle (the red line in the opening image) is also different.

I wrote that the spoke angle would be the same between 36H 6-cross and 24H 4-cross,
but regarding that,
I received a comment saying:
"About the part where you said 36H 6-cross and 24H 4-cross have the same spoke angle—
I had some doubts, so I'd like to ask.
Based on my calculations, the angle of the holes through which spokes pass from the hub center
(the angle drawn with red pen in the image) is 100 degrees for 36H 6-cross and 90 degrees for 24H 4-cross,
but what calculation method are you using?"
You're absolutely right. I was mistaken. I'll correct the original article as well.
I had mixed up degrees and radians.
What's actually the same is the spoke length.
When XH Y-cross configurations have the same result from X÷Y, the spoke length will also be the same.
If the rim and hub are the same, then 36H 6-cross, 24H 4-cross, and
600000H 10000-cross will all have the same spoke length.
I made the mistake of thinking that because the final crossing line segment (=spoke) length was the same,
the angles would also be the same.
Thank you for the comment.
By the way, if you can set up the calculation formula for 600000H 10000-cross,
you can calculate the spoke length from there (excluding various correction values).

I made a diagram of 600000H 10000-cross, and
when the aforementioned X÷Y equals 6,
the angle is 90° at 24H and 100° at 36H,
but at 600000H it's approximately 120°
(when the number of holes approaches infinity it becomes 120°)
yet the spoke length is the same in all cases.
Since the angle between the final crossing line segments is different, the angle of the auxiliary line
connecting the hub-side hole and hub axle (the red line in the opening image) is also different.