Many types of human interaction are mediated processes. However, regarding the details of human description, the mediating unit structure and dynamics is not developed appropriately. The explicit concentration on mediators contributes to understanding of interplay between value sets governing interaction, interaction roles in regular activities and interaction design for purpose. This article is a contribution to development of a concept of mediated human interaction through structuring of mediated elements. The origin of mediators is the environment, here interpreted as a collection of excitations. Among the excitations, the extracted subgroups are elementary environment excitations (EEE) - which have recognised functions in a local value set, and exchangeable EEEs or mediators - which are used regularly in human interaction. The collection of relations of a human and an EEE is called a vertex. The vertex combines initial and final human states with the EEE. The vertex formally expresses probability that a particular combination of a human state and an EEE brings about a given final human state. Combination of vertices brings about general human-environment and human-human interaction.
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