2-D in a 3-D Universe

An introduction to realistic and abstract artwork leads to a discussion of the geometric and organic shapes used by artists in their compositions. Students discover how artists draw what appear to be 3-dimensional geometric shapes and project them onto a 2-dimensional surface. They see that the way they draw an object affects how real it looks. The relationship  between linear perspective and projective geometry is explained. Tracing around 2-dimensional geometric shapes, students create their own paintings. As they view and analyze one another’s work, they discuss their choices and decisions.

Mathematical Concepts

• Geometric shapes:
2-dimensional – circle, polygon: triangle, quadrilaterals (rectangle, square, parallelogram, rhombus, trapezoid), pentagon, hexagon, octagon;  3-dimensional – cylinder, sphere, hemisphere, cube, pyramid, cone
• Geometric vs. organic shapes
• Math all around us: geometric shapes in the classroom and on our own bodies
• Projective geometry