Given a segment
of the length 1, define the set
of points in the
following way: it contains two points
and also all points obtained from
by iterating the following rule: With every pair of points
the set
contains also the point
of the segment
for which
%V0
Given a segment $AB$ of the length 1, define the set $M$ of points in the
following way: it contains two points $A,B,$ and also all points obtained from $A,B$ by iterating the following rule: With every pair of points $X,Y$ the set $M$ contains also the point $Z$ of the segment $XY$ for which $YZ = 3XZ.$
Školjka