Combinatorics and Graph Theory

   

Tessellations and Sweeping Nets: Advancing the Calculus of Geometric Logic

Authors: Parker Emmerson

In this paper, we have explained how logic-vectors can be interpreted as a geometrical representation over computational engines and how it can be implemented in code using large language models. We have also proposed the usage of Time Compass to derive logic-vector evolution over a quasi-chaotic system and its direct manipulation on the tessellation Colormap. This paper focuses on the optimal arrangement of reflecting points for efficient ray tracing given limited sweep time. We examine spatial configurations, employing our core concept of a sweeping subnet and defining a causal barrier to capture constraints imposed by time.We will also discuss the influence of these constructions on the design of an algorithm for approximating optimal tessellations.I have provided code for each of the graphs, as the mathematics is demonstrated unequivocally by their implementation. The reader can test out the reality of this system by visualizing the graphs themselves using Python in a suitable environment like Google Colaboratory.

Comments: 44 Pages. Note by viXra Admin: Please list author name in the order of fist name followed by ;ast name!)

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Submission history

[v1] 2024-01-29 04:31:14

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