Fractal patterns........galore.............Benoit M..............my dear Polishman..............Poles are not so stupid after all........neither are US Marines......jarheads..........I am a former one....

Golden Ratio

The golden ratio (symbol is the Greek letter "phi" shown at left) is a special number approximately equal to 1.618 It appears many times in geometry, art, architecture and other areas.

The Idea Behind It

We find the golden ratio when we divide a line into two parts so that: the whole length divided by the long part is also equal to the long part divided by the short part

Have a try yourself (use the slider):

72.0

28.0

=

2.571

100

72.0

=

1.389

Try to make
these the same.

100

72.0

Note: only first few digits are shown

© 2015 MathsIsFun.com v 0.81

Beauty

This rectangle has been made using the Golden Ratio, Looks like a typical frame for a painting, doesn't it?
Some artists and architects believe the Golden Ratio makes the most pleasing and beautiful shape.