The Golden Angle is not Constructible
Pedro J. Freitas
TL;DR
This paper proves that the golden angle, which divides a circle in the golden ratio, cannot be constructed with classical geometric tools like straightedge and compass.
Contribution
It provides a formal proof demonstrating the non-constructibility of the golden angle using traditional geometric methods.
Findings
Golden angle is not constructible with straightedge and compass.
The proof relies on classical geometric and algebraic principles.
This result clarifies limitations of geometric constructions related to the golden ratio.
Abstract
We prove that the golden angle (an angle that divides the circle in the golden ratio) is not constructible using straightedge and compass.
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Taxonomy
TopicsMathematics and Applications · Architecture and Art History Studies · Advanced Mathematical Theories and Applications