English: Composed  with  itself  repeatedly,  similarity  F  of  center  S  enlarges the smallest regular pentagon into successive concentric pentagons,  in manner that the outline of each one passes through all vertices of the previous pentagon, of which it is the image under F.  If  transformation  F  is  iterated  indefinitely,   then  A   and  K   are the starting points of two  infinite spirals.  Similarity F  is direct,  its oriented angle equals + 18°,  its ratio  two times  ${\displaystyle \cos \,54^{\circ }\;}$ as written at the image bottom.