And that four dimensional space consists of X, Y, Z and then the yaw angle.

x rotation

x rotation

y rotation

y rotation

z rotation

z rotation

XW rotation

XY rotation

XZ rotation

YW rotation

YZ rotation

ZW rotation

X rotation

Y rotation

Z rotation

I can reflect it in the line through X, or the line through Y, or the line through Z.

Rotate around X axis

Rotate around Y axis

Rotate around Z axis

Civil Rotor

Broke off at the main bearing.

Rotate around all three axes

We'll swap the axis.

Secondly, different types of pivots.

This is a back step pivot.

Rotate around X and Y axes

Rotate around X and Z axes

Rotate around Y and Z axes

There are many different types.

This would be an example of one pivot.

All stop valves with screwed spindles shall close by a clockwise motion of the handwheel.

All stop valves with a screwed spindle shall be closed by a clockwise motion of the handwheel.

X axis vector index

Y axis vector index

It's as if it was reflected in the line through Y.

Rotates the earth clockwise around its axis.

Rotates the earth counterclockwise around its axis.

After solar acquisition was achieved, the control mode should be switched to the Sun pointing spin stabilized mode and then, if required, to the full three axis, Earth pointing stabilized mode.

side scrolling dogfighting game

There it is, what we're after... ball bearings.

Let's do a rotation by a third of a turn anticlockwise, and reflect in the line through X.

Let's do the reflection in X first, followed by the rotation by a third of a turn anticlockwise.

side scrolling shoot'em up arcade game

And it's pressure sensitive to the forces both in the plane of the screen X, Y, and Z at least in one direction we couldn't figure out how to come in the other direction.