Golden ratio

There are 16 NRICH Mathematical resources connected to Golden ratio

problem

Golden fractions

Age

16 to 18

Challenge level

Find the link between a sequence of continued fractions and the ratio of succesive Fibonacci numbers.

problem

Gold yet again

Age

16 to 18

Challenge level

Nick Lord says "This problem encapsulates for me the best features of the NRICH collection."

article

Whirling fibonacci squares

Draw whirling squares and see how Fibonacci sequences and golden rectangles are connected.

article

About pythagorean golden means

What is the relationship between the arithmetic, geometric and harmonic means of two numbers, the sides of a right angled triangle and the Golden Ratio?

article

Leonardo of pisa and the golden rectangle

Leonardo who?! Well, Leonardo is better known as Fibonacci and this article will tell you some of fascinating things about his famous sequence.

article

The golden ratio, fibonacci numbers and continued fractions.

An iterative method for finding the value of the Golden Ratio with explanations of how this involves the ratios of Fibonacci numbers and continued fractions.

Or search by topic

Number and algebra

Geometry and measure

Probability and statistics

Working mathematically

Advanced mathematics

For younger learners

Golden ratio

Golden fractions

Gold yet again

Whirling fibonacci squares

About pythagorean golden means

Leonardo of pisa and the golden rectangle

The golden ratio, fibonacci numbers and continued fractions.