This collection includes separately written works. These works are included practically without changes. Some point representations of properties are clarified and presented more fully. But speaking about one work, revealing some properties of matter, it is difficult not to mention other properties, knowing their existence. Firstly, matter is one. Yes, it is presented by the diversity in the Artificially Created Axioms created by us, as properties that do not require proof, and in the models based on them. But in such diversity, we are talking about matter. It is one in the single dynamics of the visible Universe and in the depths of the physical vacuum. This is all matter. We are talking about the material world, without fantasies. Secondly, when describing the properties of matter, we avoid building fictitious ideas, hypotheses, the words "probably", "maybe", and models, projects, systems based on them. Facts of properties were taken, and the consequences of such facts. This is like cause and effect. As they say - nothing personal. And the reason for writing this collection is that, when speaking about this or that "face", it is difficult to resist showing the entire "polyhedron" of the unified matter. It is like the second derivative of a separate charge (one "face") and the electromotive force of self-induction in a circuit (the second "face") have one "polyhedron" in Maxwell's equations, when we answer the question WHY, with such a cause there is such a consequence. Or, WHY in a vacuum with zero mass, the force of gravity arises. In Newton's law there is no curved space, but the force of gravity works, and this force is derived from the equation of curved space (tensor) of Einstein, and again the question WHY. Physics answers the questions WHY. Mathematics answers the questions HOW this happens. Often, emergent properties of matter are hidden in such mathematical answers. Such a concept provides good prospects for research.