In this second in a sequence of three lessons, students look at regular tessellations. Two polygons in a regular tessellation must
- not meet at all or
- share a single vertex or
- share a single side
Students show in detail that triangles, squares, and hexagons give the only possible regular tessellations.
- Justify (orally and in writing) that regular triangles, squares, and hexagons are the only regular polygons that can be used to create a regular tessellation.
Let’s make some regular tessellations.
If using the applet in the digital version of the activity, tracing paper and protractors are not needed.