A simple and accurate representation of points in 4-dimensional space on a plane by means of vectors.
Authors:
Abstract
In this article, I severely narrow my task and do not even mention the various geometric systems and their combinations that offer a means to solve it; I focus exclusively on considering a single system of the 4th order on the plane, which most directly corresponds to the essence of the matter. This system is a direct extension of the system of parallel vectors, namely, extended in the sense that vectors, as elements of the system, may also be non-parallel. It is clear that this condition elevates the system by one order, making it precisely a system of the 4th order (corresponding to the geometry of 4-dimensional space).
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(Archived) Articles
Funding:
None
References
- Steiner. Die Theorie der Kegelschnitte gestützt auf projectivische Eigenschaften. Leipzig 1867. P. 284, 286.
- Zeitschrift für Krystallographie XXXII 453.
- Zeitschrift für Krystallographie V, 457.