In our prior two segments of Tantalizing Tessellations we discussed tessellating nonagons and heptagons. This time let's take a look at tessellating pentagons.
The regular pentagon cannot tessellate on it's own. But, it can tessellate with an acute angle isosceles triangle.
This is quite interesting because TWO acute angle isosceles triangles alternate with TWO pentagons.
In an alternative approach, the two acute angle isosceles triangles form a rhombus. Hence, pentagons can tessellate with rhombi in a ratio of 2 pentagons to 1 rhombus.
Pentagons and acute angle isosceles triangles are available here:
66 Piece Decagon Pentagon Trapezium Deluxe Tessellation Pattern Blocks