Hexasecond, pentaprima and pentasecond planes

Abstract

The content of this note is a direct consequence of the previous one. It contains a theorem that makes it possible to construct a hexasecond using seven arbitrary points. Since the hexasecond is a positional image and is correlatively transferred to the entire geometry of the system, then the construction of a hexasecond of planes based on seven data is implied by itself. But if only six planes are given, then the extraplane is always, like the seventh, at our disposal and is not included in the count as the only one of its kind.