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The Collaborative International Dictionary
Dimidiation

Dimidiation \Di*mid`i*a"tion\, n. [L. dimidiatio.] The act of dimidiating or halving; the state of being dimidiate.

Wiktionary
dimidiation

n. 1 The act of dividing into halves 2 (context heraldry English) The formation of a coat of arms from the halves of two others

Wikipedia
Dimidiation

In heraldry, dimidiation is a method of marshalling (heraldically combining) two coats of arms.

For a time, dimidiation preceded the method known as impalement. 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 the case of marriage, the dexter half of the husband's arms would be placed alongside the sinister half of the wife's arms. The practice fell out of use because the result was not always aesthetically pleasing (sometimes creating strange hybrids, as seen in the examples at right), and also because in some cases, it would result in a shield that confusingly looked like one coat of arms rather than a combination of two. For instance, a bend combined with a bend sinister might result in a combination that simply looked like a chevron, thus hiding the fact that two coats of arms had been combined. 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. One rule which carries over from dimidiation to impalement is that if a coat of arms with a bordure is impaled, the bordure does not continue down the line of impalement, but is cut short.

demo.svg|Example of two coats dimidiated demo.svg|The same two coats impaled , worse case demo.svg|When the dexter half of a bend sinister is dimidiated with the sinister half of a bend, the result would look like a chevron

Usage examples of "dimidiation".

It touches the question of dimidiation or impalement in the coat of mine uncle, Sir John Leighton of Shropshire, who took unto wife the widow of Sir Henry Oglander of Nunwell.