I made a new version that lets the user change more parameters than Ben's applet does. Golden Ratio Song - Numberphile Numberphile 4.22M subscribers 647K views 10 years ago Golden Ratio on Numberphile A 'math metal' song about the golden ratio (aka Phi).
It has minimal polynomial This quadratic polynomial has two roots, and The golden ratio is also closely related to the polynomial which has roots and As the root of a quadratic polynomial, the golden ratio is a constructible number.
Φ = 1 + 5 2 = is the golden ratio.Īpplication examples you can see in the articles Pentagon with a given side length, Decagon with given circumcircle and Decagon with a given side length.īoth of the above displayed different algorithms produce geometric constructions that determine two aligned line segments where the ratio of the longer one to the shorter one is the golden ratio.Ī golden triangle ABC can be subdivided by an angle bisector into a smaller golden triangle CXB and a golden gnomon XAC. Golden Ratio - Flowers GeoGebra Golden Ratio - Flowers Author: Chip Rollinson Ben Sparks made the excellent Numberphile video (above) with a similar applet to the one below. The golden ratio is also an algebraic number and even an algebraic integer.
0 kommentar(er)
