1. Mathematics and the Arts

2. Tessellations

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

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

5. M.C. Escher

8. Optical Illusions Tessellation

12. Parallel Lines

14. 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.

18. Paris Street, Rainy Day Gustave Caillebotte

19. The Last Supper Leonardo Da Vinci

20. Julian Beever julianbeever.net

24. False Perspective William Hogarth

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

26. pbs.org/nova/parthenon

27. Venus de Milo

28. Mona Lisa Leonardo da Vinci

29. The Alba Madonna Raphael

30. Pieta Michelangelo

31. 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

32. Sunday Afternoon on the Island of La Grande Jatte

33. detail above the dog

35. 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