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                                                  •  Nets for square prisms •  •  •  •    ••••••           AME or H, programmable robot with  pen
                                                                                                           {e.g. ROAMER,  Pt? or LOGO turtle)
         ~:I•I•J:41fJ~                            This  is  a  net  for a  square prism .   This is a different net for the square prism on page 10.   ~:tot i:41a~
                                                                                                                                                 0
                                                  Each face is a different colour.
                      PAGE  10                                                                                                                PAGE  11



                                                                                          3   Try to draw the net above.  Follow these rules.
                                                                                             •  Your pencil must not leave the page.
                                                                                             •  You  must not go over the some line twice.
                                                                                             Start like this:

                                                                                          rn   Design a program for your robot
                                                                                             to draw the net in the way you  did in  3  .
                                                                                             The program could start like this·
                                                                                             FORWARD  1
                                                                                             RIGHT 90
                                                                                             FORWARD 1
                                                                                             LEFT 90
                                                  2   •  Choose materials to construct
                                                     a  square prism with a  volume less than  48 cm 3
                                                    •  Colour each face a different colour   CHALLENGE
                                                     before you make up the net.
                                                                                           •  Design as many other nets for this square prism  as you  con.
                                                    •  Now draw different views of your prism
                                                     on RME or H.                          •  Which ones can be drawn following the two rules in  3  ?
                                                     Here is one example (not full size).   •  Design programs for your robot to draw them.
                                                                                                                           m
         rn

         a  yes    b  no    c  no     d  no     e  no    f  no                              Practical: designing a program for a robot to draw the net in ~ .


                                                                                            Challenge
                                                                                            Open: designing other nets for the square prism and investigating whether
         Practical: constructing a square prism, colouring faces and drawing
                                                                                            they can be drawn following the rules in  ~- Designing programs to draw
         different views.
                                                                                            the nets.


         One possible way to draw the net following the rules is:

                              3            2~ J.      Start    17
              4
         6E                   13          14 ;1~ ~Finish       :              J 18
                                                                               I
                 12
             7 la             11                               1q
                              .....
                              q
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