In our prior segments of Tantalizing Tessellations we discussed tessellating pentagons, heptagons, and nonagons. This time let's take a look at tessellating decagons.
Decagons cannot tessellate on their own. They do have several partners.
The simplest is tessellating with trapeziums (chevrons).
Decagons can also tessellate easily with isosceles trapezoids.
A complex tessellation can be formed by combining decagons with pentagons, acute angle isosceles triangles, and obtuse angle isosceles triangles. First, notice that a decagon can be inscribed by pentagons.
Naturally, the thought is this pattern can continue. When testing this theory, you will discover that gaps appear that can then be filled with acute angle isosceles triangles and obtuse angle isosceles triangles in a repeated pattern.
All of these shapes are available here:
66 Piece Decagon Pentagon Trapezium Deluxe Tessellation Pattern Blocks