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The need to harmonise apparently irreconcilable arrangements in an ecosystem--nestedness and segregation-- has triggered so far different strategies.Methodological refinements, or the inclusion of behavioural preferences to thenetwork dynamics offer a limited approach to the problem, since one remainsconstrained within a 2-dimensional view of an ecosystem, i.e. apresence-absence matrix. Here we question this partial-view paradigm, and showthat nestedness and segregation may coexist across a varied range of scenarios.To do so, we rely on an upscaled representation of an ecological community asan $n$-partite hypergraph, inspired by Hutchinson's high-dimensional nicheconcept and the latest trends on ecological multilayer networks. This yields aninclusive description of an ecological system, for which we develop a naturalextension of the definition of nestedness to larger dimensional spaces,revealing how competitive exclusion may operate regardless of a highly nestedbipartite system.

Disentangling co-occurrence patterns in n-partite ecosystems