Irrasjonalitet og det gylne snitt : Graden av irrasjonalitet og egenskaper ved φ

2019

Masteroppgave matematikkdidaktikk MA502 – Universitetet i Agder 2019 The golden ratio has been known for over a thousand years through written sources,and possibly for an even longer time without having been recorded in writing. Theratio is most likely best known for its relationship to the Fibonacci Sequence, ar-chitecture and art; however, it also occurs naturally (by approximation) in sunflow-ers, pinecones, and growth patterns, among other things, and in abstract geometryit may appear in contexts where it might not be altogether expected. What, then,is it that makes the golden ratio so extraordinary?The answer lies largely in the degree of irrationality. The degree of irrationalityis de…