A personal investigation of Conway's Rational Tangles. What were
the interesting questions that needed to be asked, and where did
Watch the video to see how to fold a square of paper to create a
flower. What fraction of the piece of paper is the small triangle?
There's a room in your school that has three tables in it with
plenty of space for chairs to go round. Table $1$ has one block of
chocolate on it, table $2$ has two blocks of chocolate on it and,
guess what, table $3$ has three blocks of chocolate on it.
Now ... outside the room is a class of children. Thirty of them
all lined up ready to go in and eat the chocolate. These children
are allowed to come in one at a time and can enter when the person
in front of them has sat down. When a child enters the room they
ask themself this question:
"If the chocolate on
the table I sit at is to be shared out equally when I sit down,
which would be the best table to sit at?"
It is fairly easy for the first few children to decide where to
sit, but the question gets harder to answer, e.g.
It maybe that when child $9$ comes into the room they see: