Диагонални точкови конфигурации. Правило на триъгълника. Инварианти
Diagonal Configurations of Points. Triangle Rule. Invariants

Summary/Abstract: Some new concepts such as diagonal configuration of points and its invariants are introduced in the present work. It is shown that the quadrilateral and the octahedron are concretization of a diagonal configuration of points and that the invariants of these configurations are analogues of the concepts of area of a quadrilateral and volume of an octahedron. The idea of invariants of diagonal configurations of points is consistently developed (an integrated approach is used) for 2-dimentional, 3-dimentional, 4-dimentional, n-dimentional (n> 4) space. Compact symbols are introduced in order to facilitate the general conclusions and to simplify the demonstrations, also the „triangle rule“ is deduced and consistently applied.

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