This is the inflation method based on substituting an initial shape with
more complex shapes. The initial shape is half a kite, which is an
isosceles triangle with angles of 72,72,36. This triangle is 1/10 the
SUN shown in iteration #0. The middle of the pattern is either a SUN
(5 kites) or the STAR (5 darts). The substitution rule below is used
to increase the number of kites and dates. The overall pattern maintains
a 5-fold symmetry about the middle. This 5-fold symmetry means this
pattern does not have periodic property (translation symmetry). The
middle of the pattern alternates between a SUN and a STAR.
more explanation of this inflation method, get the book:
Shape and Tessellations".
Classical tessellations design
Last update: 11/07/2004 Copyright 2004 by William Chow