convex pentagon tiles

there are a few pentagons that tessellate

wikipedia

it can be an interesting but demanding challenge to find some
the properties of presented tiling patterns can be explored:

the 14 (now 15, from 2015)
from Wikipedia
(note: these are all convex pentagons)

see the 'mathpuzzle' site for more information

some concave pentagons will also tessellate

could these be the same concave pentagon as for the tiling above?

demonstration tilings from Wolfram

what shape 'units' can be seen?
what angle properties must these have?

what do the angle/side properties seem to be?


















the fairly well-known 'Cairo' tiling:

is explored in detail on the Catnaps website (along with many details of Islamic design) 

see the section on 'pentagons and some of their characteristics'