What will tessellate? In order to tessellate, shapes must fit together to form 360 ○ at their vertex. To find out if a shape will tessellate a plane alone, divide the measure of one of its angles into 360. If it divides evenly, it will tessellate. If not, it won’t. For example, a square has 90 ○ angles. 90 goes into 360 exactly 4 times, so a square will tessellate by itself.
Tessellation Used famously in artwork by M.C. Escher