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Golden ratio
by Wong Kai Yee
# Golden ratio

## number

### irrational

### (1+√5)/2

### approximately 1.618

## History

### definition

### first studied by

### later studied by

## Using Golden ratio to
study geometry

### Golden triangle, pentagon and pentagram

### Scalenity of triangles

### Triangle whose sides form a geometric progression

### Golden triangle, rhombus, and rhombic triacontahedron

## Application

### Aesthetics

### Architecture

### Painting

### Music

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Euclid's Book, Elements

A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so is the greater to the less

Ancient Greek mathematicians

Phidias

Plato

Luca Pacioli

Roger Penrose

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illustrations of regular solids by Leonardo Da Vinci

Parthenon

The Sacrament of the Last Supper

For Ann (rising)

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