M. C. Escher, Victor Vasarely and Bridget Riley are artists who have explored tessellations – continuous and potentially infinite patterns of shapes, often seen in mosaic designs or tiled floors. Mathematicians since Archimedes have devoted themselves to trying to figure out what kinds of polygons can be used to “tile the plane.” Students learn about this process from the point of view of both mathematician and artist, exploring what kinds of shapes lend themselves to “tiling,” and creating their own tessellated artwork.
- Geometric vs. organic shapes
- Angle measurement: interior and exterior angles
- Translation, rotation, reflection, glide reflection