Artistic maths

Artistic MathsArtistic Maths

The Golden RatioThe Golden Ratio

Architecture: ParthenonArchitecture: Parthenon

University of SalamancaUniversity of Salamanca

Painting: The birth of VenusPainting: The birth of Venus (Sandro Boticelli) (Sandro Boticelli)

Painting: Mona LisaPainting: Mona Lisa(Leonardo da Vinci)(Leonardo da Vinci)

Painting: Leda atómicaPainting: Leda atómica(Salvador Dalí)(Salvador Dalí)

Nature: sea shellsNature: sea shells(Nautillus shell)(Nautillus shell)

Human Body: Vitruvian ManHuman Body: Vitruvian Man(Leonardo da Vinci)(Leonardo da Vinci)

Our BodyOur Body

and the question is…and the question is…

Have they got anything in common?Have they got anything in common? Is there anything that makes them Is there anything that makes them

appealling to the eye?appealling to the eye?

and the answer is…yes!and the answer is…yes!It is the Golden RatioIt is the Golden Ratio

The The Golden RatioGolden Ratio is also defined as is also defined as divine proportiondivine proportion, , divine sectiondivine section, , golden proportiongolden proportion or or golden number. golden number. The The

golden ratiogolden ratio is often denoted by the is often denoted by the Greek letter phiGreek letter phi, (, (φφ).).

phi= 1,6180339887498…phi= 1,6180339887498…

Let´s compareLet´s compare

A golden rectangleA golden rectangle

It´s hard to believe, but…there It´s hard to believe, but…there are Maths insideare Maths inside

The Golden ratio in designThe Golden ratio in design

The Golden Ratio in our The Golden Ratio in our bodybody

The Golden ratio in our bodyThe Golden ratio in our body

And last but not least…And last but not least…

The laws of nature are but the The laws of nature are but the mathematical thoughts of God. mathematical thoughts of God.

(Euclides)(Euclides)