In Escher's World, students worked with the Geometer's Sketchpad.

Sketchpad lets students create mathematical objects, such as points, lines, arcs, circles, and polygons, and to create mathematical relationships between these objects.

Once these relationships are created in Sketchpad, students can investigate the resulting constructions dynamically--using the computer to solve problems that are simultaneously mathematical and aesthetic.

Students explored the fundamentals of transformational geometry such as translation, reflection, rotation, and dilation, as well as advanced mathematical concepts like curvature and recursion. Then they combined these concepts into complex mathematical transformations and sophisticated aesthetic expressions. You can see the results of their work in their museum exhibit, Postcards from Escher's World.

Click on the red dots in any of the sketches and drag them to explore the underlying mathematical transformation.

For more information about the Sketchpad program, please visit the Key Curriculum Press website.