Basically, a tessellation is a way to tile a floor (that goes on forever) with shapes so that there is no overlapping and no gaps. Remember the last puzzle you put together? Well, that was a tessellation! The shapes were just really weird.
We usually add a few more rules to make things interesting!
- RULE #1: The tessellation must tile a floor (that goes on forever) with no overlapping or gaps.
- RULE #2: The tiles must be regular polygons - and all the same.
- RULE #3: Each vertex must look the same.
|What's a vertex?||where all the "corners" meet!|
What can we tessellate using these rules?
Notice what happens at each vertex!
The interior angle of each equilateral triangle is
60 + 60 + 60 + 60 + 60 + 60 = 360 degrees