This class will explore how mathematics is used to visualize space and illuminate patterns. Using simple tools from geometry, algebra and functions, we will learn how one, two and three dimensional can be transformed, coded, colored, analyzed, dissected and illustrated. We will apply these ideas to abstract spaces to think about properties of form, structure and patterns. And we will look at representations of space by artists inspired by these ideas. Topics will vary but include the geometry of perspective drawing, algebraic transformations of 2d space and complex numbers, iterative process and physical manipulation of materials including paper folding and knot-making. The class will also focus on similarities and differences between making math and making art and the role of constraints, experimentation, generalization and refinement. Students will have opportunities to do mathematics, make art and reflect on their processes. This course satisfies the elective for the Interdisciplinary Science Major.