As entertainingly explained by Vi Hart in a short YouTube series, (6) plants have evolved to grow in this fashion to maximise their cumulative exposure to sunlight - in part, by using the 'most irrational angle' defined in terms of the
golden ratio. An investigation of this would be an excellent way to underline just how emphatically mathematics is the language of nature.
Students were asked to seek evidence of the
Golden Ratio in architecture, art, music and nature.
Caption: Giorgio Griffa, Canone aureo 203 (
Golden Ratio 203), 2016, acrylic on canvas, 54 3/4 x 37 3/8".
Mathematically, the
golden ratio designated by the Greek letter phi (O) is defined by relative lengths [1, 2].
A segment is divided according to
golden ratio if the following equation is correct: (a+b)/a=a/b.
Evaluation of natural smile:
golden ratio, RED or golden percentage.
This proportion--the
Golden Ratio of Corporate Deal-Making--is supported by auction theory principles as well as Delaware Court of Chancery rhetoric.
The
golden ratio, also known as divine ratio, is equal to approximately 1.618.
Windows pull to the east, each morning a
golden ratio of the day before.
It called for a "
golden ratio" on health spending tied to Britain's gross domestic product (GDP), adding that the UK health budget is expected to be at 7 per cent of GDP by 2020 compared with 11 per cent in Germany and France and 18 per cent in the US.
Bowe advises keeping the
golden ratio of shoulder-to-waist size in mind when consulting male patients about ways to improve their physique.
They demonstrate the geometrical spiralling pattern of the
Golden Ratio (further information on Fractals and the
Golden Ratio can be sourced from the websites listed in the references below).
Reflecting its assumed role in beauty, the solution [phi] = [1/2](1+[square roof of 5]), roughly 1.618, is called the
Golden Ratio. Euclid constructed this ratio in a regular pentagon, where the longer line is an internal diagonal from point A to point C, and the shorter line is one side from point B to point C.
Gustin has been influenced by a wide variety of objects and experiences; Middle Eastern calligraphy, Asian ceramics, Mimbres pottery, Moche stirrup pots, Georgio Morandi's paintings, the
Golden Ratio, surfing, trips to Egypt and the Azores.