The device has coordinates relative to the factory that are computed as follows: $x'_{\text{factory}} = x'\text{cos}(\alpha) + y'\text{sin}(\alpha)$ and $y'_{\text{factory}} = -x'\text{sin}(\alpha) + y'\text{cos}(\alpha)$
The device has coordinates relative to the factory that are computed as follows: $`x'_{\text{factory}} = x'\text{cos}(\alpha) + y'\text{sin}(\alpha)`$ and $`y'_{\text{factory}} = -x'\text{sin}(\alpha) + y'\text{cos}(\alpha)`$. In 3D, we provide an additional angle representing the tilt of the *Z* axis with respect to the *XY* plane.
## Relations between sensing/actuating devices, observable/actuatable properties, and property/action affordances
