Math and Art

MOMAMuseum of Math and Art

Leonardo Da Vinci

An extremely talented man

Named one of the greatest painters of all timeStudied under Luca Pacioli, a famous mathematician

painter, sculptor, architect, musician, scientist, mathematician, engineer, inventor, anatomist, geologist, cartographer, botanist and writer

Leonardo Da Vinci and the Golden Ratio

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Mona Lisa

By Leonardo Da VinciMona Lisa’s prime facial areas are specifically specified by the Golden Rectangle

M. C. Escher

ArtistLithographic Prints

Color lithographs require using combinations of four basic ink colors and pressing the new ink shade onto the paper.

Showed the connection between math and artOrder and symmetry

Waterfall

Lithographic print by EscherDisplays the Penrose triangle, an impossible geometric object

Penrose Triangle

• An geometric impossible object• Created by the Swedish artist Oscar

Reutersvärd• Made popular by Roger Penrose.

Joseph Mallord William Turner

English Romantic landscape painter, watercolorist and             printmakerPainted Norham Castle at Sunrise

Norham Castle at Sunrise

Geometric Concepts

Symmetry

Golden Rectangle

A golden rectangle is one whose side lengths are in the golden ratio  

to end with a quote from Luca Pacioli:

without mathematics, there is no art