# Is XYZ Euler rotation wrong ? Unable to observe stable axis when rotating on y and z axis in XYZ mode

Is something wrong with my understanding about euler rotation ? My understanding is that euler rotation revolve around the local axis. For example, if I rotate around X axis (moving local Y and Z axis). Then if I rotate around Y, I should be rotating around the new local Y axis. Some good example / playground is shown here https://www.mecademic.com/academic_articles/space-orientation-euler-angles/

But why when I change the angle value in transformation panel in blender that is not the case ?

https://youtu.be/7LyDptQoUCs

We can see from the video that when rotating Y, NO axis are stable!

• The "stable" axis depends on the Euler order. Only the first Euler axis is stable; with objects' default XYZ orientation, that means the X axis, unshown in your video. By "stable", I mean that changing the X rotation won't change the direction that the transformed X axis is pointing. There are two ways to talk about Eulers, that are mathematically identically but talk with reversed orders, so you may be comparing what somebody says in one perspective with a reversed perspective. Commented Jun 4 at 13:37
• If you have a mathematical expression $(5 + 3) × 2$ and you increase $3$ by one to $4$, you don't expect the result to increase by one as well, right? You can think of an Euler rotation as 3 rotations in the specified order: effectively then, your first rotation is rotated by your 2nd rotation, and both are rotated by your 3rd rotation. So only the last rotation will linearly (circularly ðŸ˜‰) translate to the resulting rotation. Commented Jun 4 at 13:55
• Commented Jun 4 at 14:20