Polyfaceted

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A polyfaceted system usually consists of many headmates, that can have many layers and can cause a disrupt in communication but the system and all/most members are median.

The use of "faceted" refers to the specifically-median label for system members, facet.

Related Terms
Although functionally synonyms, polyfaceted is seen more as a parallel to polyfragmented while polymedian is more associated with polymultiple. The poly- prefix is often used to indicate a system of 100 or more members, and it may be exchanged for the magni-, kilio-, or astra- prefixes to specify 500+ (magnifaceted / magnimedian), 1000+ (kiliofaceted / kiliomedian), or infinite / indefinable (astrafaceted / astramedian) headmates.