In heraldry, dimidiation is a method of marshalling (heraldically combining) two coats of arms.
Whereas impalement involves placing the whole of both coats of arms side by side in the same shield, dimidiation involves placing the dexter half of one coat of arms alongside the sinister half of the other.
In order to avoid these drawbacks, it became customary to use more than half of each coat of arms when combining them through dimidiation.
Once this practice had begun, the logical progression was to include the whole of both coats of arms in the new shield, so that in effect, impalement replaced dimidiation as a method of combining coats of arms.
A general rule which carries over from dimidiation to impalement is that if a coat of arms with a bordure (or tressure, orle, etc.)