Mathematics and the Arts

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Presentation transcript:

Mathematics and the Arts

Tessellations

Tessellations can include: Art Elements – Color Theory (Groups), Shape (Geometric to Organic), Line Art Principles – Balance (Symmetrical to Asymmetrical), Repetition, Pattern, Gradation

Tessellations in our environment Bed Spreads Wallpaper Floor Tiles Have students photograph examples of tessellations seen in their environment.

M.C. Escher

Optical Illusions Tessellation

Parallel Lines

Linear Perspective The Illusion of Space created on a two-dimensional surface. Parallel lines slant/converge toward a point Sometimes called “Projective Geometry” A field of Mathematics that deals with properties and spatial relations of figures as they are projected.

Paris Street, Rainy Day Gustave Caillebotte

The Last Supper Leonardo Da Vinci

Julian Beever julianbeever.net

False Perspective William Hogarth

The Golden Ratio The Mathematical Formula for Beauty Egyptian Pyramids Roman Architecture Renaissance Paintings Human Form 1.6180339887… The Golden Spiral, Golden Rectangle, Golden Triangle

pbs.org/nova/parthenon

Venus de Milo

Mona Lisa Leonardo da Vinci

The Alba Madonna Raphael

Pieta Michelangelo

Georges Seurat plots POINTS Seurat used pointillism to create some of his most famous works. Pointillism is the use of small dots to create value. Seurat used dots of color to create other colors

Sunday Afternoon on the Island of La Grande Jatte

detail above the dog

Math in the other areas of Art Choreography of a dance or march – Balance, Proportion, Line Beat/Rhythm of music Set design of a Drama Production – projective geometry