Polyfaceted

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A polyfaceted system usually consists of many (typically 100+) 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. Along with polyplural they describe system count.