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Golden ratio by Mind Map: Golden ratio
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Golden ratio

This is just a demo map that you can delete right away, if you feel like it...

number

irrational

(1+√5)/2

approximately 1.618

History

definition

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

first studied by

Ancient Greek mathematicians

later studied by

Phidias

Plato

Luca Pacioli

Roger Penrose

Using Golden ratio to study geometry

Golden triangle, pentagon and pentagram

New node

Scalenity of triangles

Triangle whose sides form a geometric progression

Golden triangle, rhombus, and rhombic triacontahedron

Application

Aesthetics

illustrations of regular solids by Leonardo Da Vinci

Architecture

Parthenon

Painting

The Sacrament of the Last Supper

Music

For Ann (rising)

New node