Mathematical Exploration of Spiral Geometries with Hexagons and Triangles

Spiral geometries are an essential area of mathematical study, combining aesthetics with computational challenges. This paper investigates a unique structure where equilateral triangles and hexagons are dynamically combined in a spiral configuration. Each addition contributes to the overall height and involves a rotational dynamic, introducing a new angle at every step.

The author acknowledges the use of OpenAI’s language model for assistance in drafting certain sections of this workl